From cf311ab8d1bd393ec0290bc3914cae7620afcf85 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 1 Mar 2022 15:59:33 +0100 Subject: [PATCH 01/92] initial MPT description --- specs/mpt-proof.md | 89 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 89 insertions(+) create mode 100644 specs/mpt-proof.md diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md new file mode 100644 index 000000000..7962498a9 --- /dev/null +++ b/specs/mpt-proof.md @@ -0,0 +1,89 @@ +# Merkle Patricia Trie (MPT) Proof + +MPT circuit checks that the modification of the trie state happened correctly. + +Let's assume there are two proofs (as retured by `eth getProof`): + * A proof that there exists value `val1` at key `key1` for the trie root `root1`. + * A proof that there exists value `val2` at key `key1` for the trie root `root2`. + +The circuit checks the transition from `val1` to `val2` at `key1` that led to the change +of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). + +The proof returned by `eth getProof` looks like (but there are various special cases): + * State trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (State trie branch 1) + * State trie branch 1 that contains 16 nodes, one of them being the hash of the branch below + * ... + * State trie branch n + * State trie leaf that constains the info about account: nonce, balance, storageRoot, codeHash + + * Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) + * Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below + * ... + * Storage trie branch n + * Storage trie leaf that constains (part of) key `key1` and value `val1` + +Let's for demonstration purposes simplify the proof above to only have two storage trie branches +and no state trie part: + * Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) + * Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below + * Storage trie leaf that constains (part of) key `key1` and value `val1` + +We split the branch information into 16 rows (one row for each node). The proofs looks like: + * Branch 0 node 0 + * Branch 0 node 1 + * Branch 0 node 2 (hash of Branch 1) + * ... + * Branch 0 node 15 + * Branch 1 node 0 + * Branch 1 node 1 (hash of a leaf) + * ... + * Branch 1 node 15 + * Leaf + +When `key1` is hashed and converted into hexadecimal value, it is a hexadecimal string of +length 64. The first character specifies under which position of Branch 0 is the node +corresponding to `key1`. +The second character specifies under which position of Branch 1 is the node +corresponding to `key1`. The remaining characters are stored in a leaf. +Let's say the first character is 2 and the second character is 1. +In our case, this means the hash of a leaf is Branch 1 node 1 and hash of Branch 1 is +Branch 0 node 2. + +If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, +the proof will be different from the first one at Leaf, Branch 1 node 1, and Branch 0 node 2, +other proof elements stay the same. + +To check the transition from `root1` to `root2` caused at `key1`, MPT circuit checks that both +proofs are the same except at the nodes that correspond to `key1` path (hexadecimal characters). +In proof 1, the root of Branch 0 needs to be `root1`. +In proof 2, the root of Branch 0 needs to be `root2`. +Furthermore, it needs to be checked that the nodes differ at indexes that +correspond to `key1` path. + +To implement the constraints above, the two proofs are put in parallel in MPT rows. +Each branch row contains information of branch node from proof 1 and as well as from proof 2: + * Branch 0 node 0 before change || Branch 0 node 0 after change + * Branch 0 node 1 before change || Branch 0 node 1 after change + * ... + * Branch 0 node 15 before change || Branch 0 node 15 after change + * Branch 1 node 0 before change || Branch 1 node 0 after change + * ... + * Branch 1 node 15 before change || Branch 1 node 15 after change + * Leaf (before change) + * Leaf (after change) + +## Circuit Layout + +The columns are of two types. + +### Branch + +Branch comprises 19 rows. + +| Row title | Row example | +| --------------------- | ------------------------------------------------------------------ | +| Branch init | `0, 1, 0, 1, 249, 2, 17, 249, 2, 17, 13` | +| Node 0 | `0, 160, 215, 178, 43, ..., 0, 160, 215, 178,...` | +| Node 1 | `0, 160, 195, 19, 38, ..., 0, 160, 195, 19, 38,...` | +| ... | ... | +| Node 15 | `0, 160, 22, 99, 129, ..., 0, 160, 22, 99, 129,...` | From a62a1ad1ca27c9703ccbe87e85ee576b3b3af91a Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 3 Mar 2022 16:58:10 +0100 Subject: [PATCH 02/92] MPT docs --- specs/mpt-proof.md | 225 +++++++++++++++++++++++++++++++++++++-------- 1 file changed, 187 insertions(+), 38 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 7962498a9..9d24f363f 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -3,42 +3,54 @@ MPT circuit checks that the modification of the trie state happened correctly. Let's assume there are two proofs (as retured by `eth getProof`): - * A proof that there exists value `val1` at key `key1` for the trie root `root1`. - * A proof that there exists value `val2` at key `key1` for the trie root `root2`. + +- A proof that there exists value `val1` at key `key1` for the trie root `root1`. +- A proof that there exists value `val2` at key `key1` for the trie root `root2`. The circuit checks the transition from `val1` to `val2` at `key1` that led to the change of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). The proof returned by `eth getProof` looks like (but there are various special cases): - * State trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (State trie branch 1) - * State trie branch 1 that contains 16 nodes, one of them being the hash of the branch below - * ... - * State trie branch n - * State trie leaf that constains the info about account: nonce, balance, storageRoot, codeHash - - * Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) - * Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below - * ... - * Storage trie branch n - * Storage trie leaf that constains (part of) key `key1` and value `val1` + +- State trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (State trie branch 1) + +- State trie branch 1 that contains 16 nodes, one of them being the hash of the branch below + +- ... + +- State trie branch n + +- State trie leaf that constains the info about account: nonce, balance, storageRoot, codeHash + +- Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) + +- Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below + +- ... + +- Storage trie branch n + +- Storage trie leaf that constains (part of) key `key1` and value `val1` Let's for demonstration purposes simplify the proof above to only have two storage trie branches and no state trie part: - * Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) - * Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below - * Storage trie leaf that constains (part of) key `key1` and value `val1` + +- Storage trie branch 0 that contains 16 nodes, one of them being the hash of the branch below (Storage trie branch 1) +- Storage trie branch 1 that contains 16 nodes, one of them being the hash of the branch below +- Storage trie leaf that constains (part of) key `key1` and value `val1` We split the branch information into 16 rows (one row for each node). The proofs looks like: - * Branch 0 node 0 - * Branch 0 node 1 - * Branch 0 node 2 (hash of Branch 1) - * ... - * Branch 0 node 15 - * Branch 1 node 0 - * Branch 1 node 1 (hash of a leaf) - * ... - * Branch 1 node 15 - * Leaf + +- Branch 0 node 0 +- Branch 0 node 1 +- Branch 0 node 2 (hash of Branch 1) +- ... +- Branch 0 node 15 +- Branch 1 node 0 +- Branch 1 node 1 (hash of a leaf) +- ... +- Branch 1 node 15 +- Leaf When `key1` is hashed and converted into hexadecimal value, it is a hexadecimal string of length 64. The first character specifies under which position of Branch 0 is the node @@ -47,7 +59,7 @@ The second character specifies under which position of Branch 1 is the node corresponding to `key1`. The remaining characters are stored in a leaf. Let's say the first character is 2 and the second character is 1. In our case, this means the hash of a leaf is Branch 1 node 1 and hash of Branch 1 is -Branch 0 node 2. +Branch 0 node 2. If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, the proof will be different from the first one at Leaf, Branch 1 node 1, and Branch 0 node 2, @@ -62,28 +74,165 @@ correspond to `key1` path. To implement the constraints above, the two proofs are put in parallel in MPT rows. Each branch row contains information of branch node from proof 1 and as well as from proof 2: - * Branch 0 node 0 before change || Branch 0 node 0 after change - * Branch 0 node 1 before change || Branch 0 node 1 after change - * ... - * Branch 0 node 15 before change || Branch 0 node 15 after change - * Branch 1 node 0 before change || Branch 1 node 0 after change - * ... - * Branch 1 node 15 before change || Branch 1 node 15 after change - * Leaf (before change) - * Leaf (after change) + +- Branch 0 node 0 before change || Branch 0 node 0 after change +- Branch 0 node 1 before change || Branch 0 node 1 after change +- ... +- Branch 0 node 15 before change || Branch 0 node 15 after change +- Branch 1 node 0 before change || Branch 1 node 0 after change +- ... +- Branch 1 node 15 before change || Branch 1 node 15 after change +- Leaf (before change) +- Leaf (after change) ## Circuit Layout -The columns are of two types. +The two parallel proofs are called S proof and C proof in the MPT circuit layout. + +The first 34 columns are for the S proof. +The next 34 columns are for the C proof. +The remaining columns are selectors, for example, for specifying whether the +row is branch node or leaf node. + +34 columns presents 2 + 32. 32 columns are used because this is the length +of hash output. +Note that, for example, each branch node is given in a hash format - +it occupies 32 positions. +The first 2 columns are RLP specific as we will see below. + +In the codebase, the columns are named: + +- s_rlp1 +- s_rlp2 +- s_advices (32 columns) +- c_rlp1 +- c_rlp2 +- c_advices (32 columns) ### Branch -Branch comprises 19 rows. +Branch comprises 19 rows: + +- 1 init row with some RLP specific data and some selectors +- 16 node rows +- 2 extension node rows | Row title | Row example | | --------------------- | ------------------------------------------------------------------ | | Branch init | `0, 1, 0, 1, 249, 2, 17, 249, 2, 17, 13` | | Node 0 | `0, 160, 215, 178, 43, ..., 0, 160, 215, 178,...` | | Node 1 | `0, 160, 195, 19, 38, ..., 0, 160, 195, 19, 38,...` | +| Node 2 (empty) | `0, 0, 128, 0, 0, ..., 0, 0, 128, 0, 0,...` | | ... | ... | | Node 15 | `0, 160, 22, 99, 129, ..., 0, 160, 22, 99, 129,...` | +| Extension row S | `228, 160, 22, 99, 129, ..., 0, 160, 22, 99, 129,...` | + +#### Branch init row + +The first two columns specify whether S branch has two or three RLP meta bytes +(these bytes specify the length of the stream): + +- `1, 0` means two RLP meta bytes +- `0, 1` means three RLP meta bytes + +For example, a branch with two RLP meta bytes starts like: +`248, 81, 128, 128,... ` +This means there are 81 bytes from position two onward. + +To check whether the length of the stream correspond to the length specified +with the RLP meta bytes, we use column 0. In each row we subtract the number +of bytes in a row. In the last row we checked whether the value is 0. + +Note that branch node row can have either 33 bytes or 1 byte. 1 byte occurs +when the node is empty, in this case only the value 128 appears, which is stored +in position 2 in MPT circuit layout. + +For example, a branch with three RLP meta bytes starts like: +`249, 1, 81, 128, 16, ... ` +This means there are 1 * 256 + 81 bytes from position three onward. + +Summary: + +- cols 0 and 1: whether branch S has 2 or 3 RLP meta data bytes +- cols 2 and 3: whether branch C has 2 or 3 RLP meta data bytes +- cols 4 and 5: the actual branch S RLP meta data bytes +- col 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) +- cols 7 and 8: branch C RLP meta data bytes +- col 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) + +TODO: selectors + +#### Branch node rows + +Each branch node row starts with 34 S proof columns and 34 C proof columns. + +Example 34 S columns: + +`0, 160, 215, 178, 43, ..., 23` + +The first column in branch node rows is used for checking the RLP stream +length. + +The second column is RLP encoding of the length of the substream. +It is always 160, because this denotes the length of the +substream which is 32 (= 160 - 128). The substream in this case is hash of a +node. + +When there is an empty node, the columns look like: +`0, 0, 128, 0, ..., 0` + +Empty node in a RLP stream is denoted only by one byte - value 128. +MPT circuit uses this kind of padding with 0s to simplify the comparison +between S and C branch. For example, when a value is stored at a key that +hasn't been used yet, we will get empty node in S branch and non-empty node +in C branch. We need to compare whether this change corresponds to the +key (key determines the index of the node in branch where change occurs). + +#### Extension node rows + +Extension node can be viewed as a special branch. It contains a regular branch +with the addition of a key extension. Key extension is a couple of nibbles (most +often only one or two nibbles) that "extend" the path to the branch. + +The extension node element in proof contains the information about nibbles +and the hash of the underlying branch. + +For example, the proof element (returned by `eth getProof`) of +an extension node looks like: + +`228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249` + +130 means there are 2 (130 - 128) bytes compressing the nibbles. +These two bytes are +`0, 149`. +The two nibbles compressed are 9 and 5 (149 = 9 * 16 + 5). + +The bytes after 160 present a hash of the underlying branch. + +MPT layout uses s_rlp1, s_rlp2, and s_advices for RLP meta bytes and nibbles, +while c_advices are used for branch hash (c_rlp2 stores 160 - denoting the number +of hash bytes). + +There are two extension node rows - one for S proof, one for C proof. +However, the nibbles information is the same for both proofs. +For this reason, in C row, we store some additional witness for nibbles (because +the nibbles are actually given compressed in bytes). + +`226,16,160,172,105,12...` + +`228, 130, 0, 187, 0, ...` + +`0, 0, 11, 0, 0, ...` + +### Storage leaf + +There are 5 rows for a storage leaf. +2 rows for S proof, 2 rows for C proof +(it might be optimized to have only one row for a storage leaf). +1 row for cases when a leaf is turned into a branch or extension node. + +`227, 161, 32, 187, 41, ..., 11` + +`225, 159, 57, 202, 166, ..., 17` + +## Key RLC From 90e34ac51c7c001edc0c6098aa23dedb19663d6f Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 4 Mar 2022 15:43:50 +0100 Subject: [PATCH 03/92] MPT: some info on extension nodes --- specs/mpt-proof.md | 96 +++++++++++++++++++++++++++++----------------- 1 file changed, 60 insertions(+), 36 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 9d24f363f..a0662d86e 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -2,10 +2,10 @@ MPT circuit checks that the modification of the trie state happened correctly. -Let's assume there are two proofs (as retured by `eth getProof`): +Let's assume there are two proofs (as returned by `eth getProof`): -- A proof that there exists value `val1` at key `key1` for the trie root `root1`. -- A proof that there exists value `val2` at key `key1` for the trie root `root2`. +- A proof that there exists value `val1` at key `key1` for the trie with root `root1`. +- A proof that there exists value `val2` at key `key1` for the trie with root `root2`. The circuit checks the transition from `val1` to `val2` at `key1` that led to the change of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). @@ -102,12 +102,12 @@ The first 2 columns are RLP specific as we will see below. In the codebase, the columns are named: -- s_rlp1 -- s_rlp2 -- s_advices (32 columns) -- c_rlp1 -- c_rlp2 -- c_advices (32 columns) +- `s_rlp1` +- `s_rlp2` +- `s_advices` (32 columns) +- `c_rlp1` +- `c_rlp2` +- `c_advices` (32 columns) ### Branch @@ -121,7 +121,7 @@ Branch comprises 19 rows: | --------------------- | ------------------------------------------------------------------ | | Branch init | `0, 1, 0, 1, 249, 2, 17, 249, 2, 17, 13` | | Node 0 | `0, 160, 215, 178, 43, ..., 0, 160, 215, 178,...` | -| Node 1 | `0, 160, 195, 19, 38, ..., 0, 160, 195, 19, 38,...` | +| Node 1 | `0, 160, 195, 189, 38, ..., 0, 160, 195, 19, 38,...` | | Node 2 (empty) | `0, 0, 128, 0, 0, ..., 0, 0, 128, 0, 0,...` | | ... | ... | | Node 15 | `0, 160, 22, 99, 129, ..., 0, 160, 22, 99, 129,...` | @@ -137,15 +137,15 @@ The first two columns specify whether S branch has two or three RLP meta bytes For example, a branch with two RLP meta bytes starts like: `248, 81, 128, 128,... ` -This means there are 81 bytes from position two onward. +This means there are 81 bytes from position two onward in the branch RLP stream. To check whether the length of the stream correspond to the length specified with the RLP meta bytes, we use column 0. In each row we subtract the number of bytes in a row. In the last row we checked whether the value is 0. -Note that branch node row can have either 33 bytes or 1 byte. 1 byte occurs +Note that branch node row can either have 33 bytes or 1 byte. 1 byte occurs when the node is empty, in this case only the value 128 appears, which is stored -in position 2 in MPT circuit layout. +in column 2. For example, a branch with three RLP meta bytes starts like: `249, 1, 81, 128, 16, ... ` @@ -170,35 +170,38 @@ Example 34 S columns: `0, 160, 215, 178, 43, ..., 23` -The first column in branch node rows is used for checking the RLP stream -length. +The first columns of S and C proof (`s_rlp1` and `c_rlp1`) in branch node rows are +used to check the RLP stream length. -The second column is RLP encoding of the length of the substream. -It is always 160, because this denotes the length of the +The second columns (`s_rlp2` and `c_rlp2`) are for RLP encoding of the length +of the substream. +For non-empty rows, it is always 160, because this denotes the length of the substream which is 32 (= 160 - 128). The substream in this case is hash of a node. -When there is an empty node, the columns look like: -`0, 0, 128, 0, ..., 0` +When there is an empty node, the column looks like: +`0, 0, 128, 0, ..., 0`. Empty node in a RLP stream is denoted only by one byte - value 128. -MPT circuit uses this kind of padding with 0s to simplify the comparison -between S and C branch. For example, when a value is stored at a key that -hasn't been used yet, we will get empty node in S branch and non-empty node +MPT circuit uses padding with 0s to simplify the comparison +between S and C branch. This way, the branch nodes are aligned horizontally +for both proofs. + +For example, when a value is stored at a key that +hasn't been used yet, we will get an empty node in S branch and non-empty node in C branch. We need to compare whether this change corresponds to the key (key determines the index of the node in branch where change occurs). #### Extension node rows Extension node can be viewed as a special branch. It contains a regular branch -with the addition of a key extension. Key extension is a couple of nibbles (most +with the addition of a key extension. Key extension is set of nibbles (most often only one or two nibbles) that "extend" the path to the branch. -The extension node element in proof contains the information about nibbles -and the hash of the underlying branch. +The extension node element in proof (returned by `eth getProof`) contains +the information about nibbles and the hash of the underlying branch. -For example, the proof element (returned by `eth getProof`) of -an extension node looks like: +For example, the proof element of an extension node looks like: `228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249` @@ -209,20 +212,38 @@ The two nibbles compressed are 9 and 5 (149 = 9 * 16 + 5). The bytes after 160 present a hash of the underlying branch. -MPT layout uses s_rlp1, s_rlp2, and s_advices for RLP meta bytes and nibbles, -while c_advices are used for branch hash (c_rlp2 stores 160 - denoting the number +MPT layout uses `s_rlp1`, `s_rlp2`, and `s_advices` for RLP meta bytes and nibbles, +while `c_advices` are used for branch hash (`c_rlp2` stores 160 - denoting the number of hash bytes). There are two extension node rows - one for S proof, one for C proof. -However, the nibbles information is the same for both proofs. -For this reason, in C row, we store some additional witness for nibbles (because -the nibbles are actually given compressed in bytes). +However, the extension key (nibbles) is the same for both proofs, we don't need +to double this information. +For this reason, in C row, we don't put key into `s_rlp1`, `s_rlp2`, and `s_advices`, +we just put hash of C extension node underlying branch in `c_advices`. -`226,16,160,172,105,12...` +However, in C row, we store additional witness for nibbles (because nibbles are +given compressed in bytes) into `s_rlp1`, `s_rlp2`, and `s_advices`. + +For example: +`0, 0, 5, 0, 0, ...` -`228, 130, 0, 187, 0, ...` +Here, 5 presents the second nibbles of 149 (see above). Having the second nibble +enables us to compute the first nibble. -`0, 0, 11, 0, 0, ...` +Thus, the two extension rows look like: + +`228,130,0,149, 0, ..., 0, 160, S underlying branch hash` +`0, 0, 5, 0, ..., 0, 160, C underlying branch hash` + +There is bit of a difference in RLP stream when only one nibble appears. +In this case there is no byte specifying the length of the key extension +(130 in the above case). +For example, in the case below, the nibble is 0 (16 - 16): + +`226,16,160,172,105,12...` + +In this case special witnesses for nibbles are not needed. ### Storage leaf @@ -231,8 +252,11 @@ There are 5 rows for a storage leaf. (it might be optimized to have only one row for a storage leaf). 1 row for cases when a leaf is turned into a branch or extension node. -`227, 161, 32, 187, 41, ..., 11` +`228, 159, 55, 204, 40,...` +______________________________________________________________________ + +`227, 161, 32, 187, 41, ..., 11` `225, 159, 57, 202, 166, ..., 17` ## Key RLC From 936ee0672daca214a73a52baeca09a9f3d4886e7 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 8 Mar 2022 16:43:10 +0100 Subject: [PATCH 04/92] MPT: branch img & constraints --- specs/img/branch.png | Bin 0 -> 532487 bytes specs/mpt-proof.md | 72 +++++++++++++++++++++++++++++++++++++++---- 2 files changed, 66 insertions(+), 6 deletions(-) create mode 100644 specs/img/branch.png diff --git a/specs/img/branch.png b/specs/img/branch.png new file mode 100644 index 0000000000000000000000000000000000000000..44a825bd2b90526714d580905c3215aaa47b18ff GIT binary patch literal 532487 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ztu!;Ej?h4f#U#n?QlC!=xmTjgjPumn153Me>l!0Ql>9 zHgMKo_IZ@LMukFdd~6(9w>6c4tWo{zObXJdFLqvQ=@D#+0go4lijG8N-P?)3%I(O; z8`zA=H0_HPgxuL`@G&>OS4{h`U7M>=?vEKPwa>;}bM~-oKWi7&Rb}oNkJ*L91nnT|`0A!o1GuBpLJQY=pBdruE&AD$!MPi}JJxuPE zGa>s$fmef^l#_Q^Pz%R~YSvvx{{P#abDuVve0rv7u9zK{;8A?qSxP(IAmG^Mq&DSx zm$XckxNFKki>`L0=T0!5^E3Uaf|TX)+2;FsdmpE6XjxonIPK;3j7@uc4E^7K+;isI zjzgy}oRC~SZTi{^8PzwRY<+5bWY6yDzHyt+t*w6jF3xRD@ZuYBY1cHixjl+|nwr+T z$!YQ1)Uvqu?^4&ungn@An0CcZU;D{u^Rtbwjh-F-*17WZyN9W9{vLPA_J8e RLC): + +``` +s_keccak = convert_into_words(s_advices) +c_keccak = convert_into_words(c_advices) +``` + +##### Constraint: no change except at is_modified position + +In all branch rows, except at `is_modified` position, it needs to hold: + +``` +s_advices = c_advices +``` + +### Extension node rows Extension node can be viewed as a special branch. It contains a regular branch with the addition of a key extension. Key extension is set of nibbles (most @@ -228,13 +286,15 @@ given compressed in bytes) into `s_rlp1`, `s_rlp2`, and `s_advices`. For example: `0, 0, 5, 0, 0, ...` -Here, 5 presents the second nibbles of 149 (see above). Having the second nibble -enables us to compute the first nibble. +Here, 5 presents the second nibbles of 149 (see above). +Having the second nibble simplifies the computation of the first nibble. Thus, the two extension rows look like: -`228,130,0,149, 0, ..., 0, 160, S underlying branch hash` -`0, 0, 5, 0, ..., 0, 160, C underlying branch hash` +``` +228,130,0,149, 0, ..., 0, 160, S underlying branch hash +0, 0, 5, 0, ..., 0, 160, C underlying branch hash +``` There is bit of a difference in RLP stream when only one nibble appears. In this case there is no byte specifying the length of the key extension From 08a69280708863c7993867b966d4cc5a10d3c7bf Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 9 Mar 2022 11:29:03 +0100 Subject: [PATCH 05/92] MPT: branch hash in parent branch --- specs/mpt-proof.md | 97 ++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 81 insertions(+), 16 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 2877efa9f..5ff751295 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -128,6 +128,31 @@ Branch comprises 19 rows: | Extension row S | `228, 130, 0, 149, 0,..., 0, 160, 57, 70,...` | | Extension row C | `0, 0, 5, 0, ...,0, 160, 57, 70,... 0` | +![branch](./img/branch.png) + +In the picture, the last two rows are all zeros because this is a regular branch, +not an extension node. + +`s_advices/c_advices` present the hash of a branch child. +We need `s_advices/c_advices` for two things: + +- to compute the overall branch RLC (to be able to check the hash of a branch) +- to check whether `s_advices/c_advices` (at `is_modified` position) + present the hash of the next element in a proof + +Hash lookup looks like (for example for branch S): + +``` +lookup(S branch RLC, S branch length, s_advices RLC at the is_modified position in parent branch) +``` + +TODO: instead of 32 columns for `*_advices`, use only the RLC of `*_advices`. +To integrate `*_advices` RLC into the computation of the whole branch RLC, we +just need to compute `mult * *_advices_RLC` and add this to the current RLC value. + +The layout then be simply: +`s_rlp1, s_rlp2, s_child_rlc, c_rlp1, c_rlp2, c_child_rlc` + #### Branch init row The first two columns specify whether S branch has two or three RLP meta bytes @@ -195,11 +220,6 @@ key (key determines the index of the node in branch where change occurs). #### Constraints -![branch](./img/branch.png) - -In the picture, the last two rows are all zeros because this is a regular branch, -not an extension node. - ##### Constraint: hash of the branch is in the parent branch `is_modified` selector denotes the position in branch which corresponds to the key @@ -215,31 +235,76 @@ using a lookup which takes as an input: Currently, instead of `s_advices/c_advices` RLC, four columns (bytes into words) are used: `s_keccak/c_keccak` (to be fixed). -The final lookup will look like (for S): -`lookup(S branch RLC, S branch length, s_advices RLC`. +Hash lookup looks like (for S): +`lookup(S branch RLC, S branch length, s_advices RLC)`. -To simplify the constraints, the hash of the modified node is stored in each +To simplify the constraints, the modified node RLC is stored in each branch node. This is to enable rotations back to access the RLC of the modified node. Thus, for example, when checking the branch hash to be in a parent branch, we can rotate back to the last row in the parent branch and use the value from this row for the lookup. -To enable this, we need to have constraints for the node hash in branch rows. +Let's see an example. +Let's say we have a branch where `modified_node = 1`. For clarity, let's +denote `s_rlp1, s_rlp2, c_rlp1, c_rlp2` simply with `_`. -##### Constraints: node hash in branch rows +``` +_, _, b0_s_child0_rlc, _, _, b0_c_child0_rlc +_, _, b0_s_child1_rlc, _, _, b0_c_child1_rlc +... +_, _, b0_s_child15_rlc, _, _, b0_c_child15_rlc +``` -For all branch rows (TODO: replace s_keccak/c_keccak with two RLC columns): +Let's say the next element in a proof is another branch: ``` -s_keccak_prev = s_keccak -c_keccak_prev = c_keccak +_, _, b1_s_child0_rlc, _, _, b1_c_child0_rlc +_, _, b1_s_child1_rlc, _, _, b1_c_child1_rlc +... +_, _, b1_s_child15_rlc, _, _, b1_c_child15_rlc ``` -At `is_modified` position (TODO: \*\_keccak -> RLC): +The hash of this second branch is in the parent branch at position 1. +Let `b1_s` be the RLC of S part of this second branch and +`b1_c` be the RLC of C part of this second branch. +Then: + +``` +hash(b1_s) = b0_s_child1_rlc +hash(b1_c) = b0_c_child1_rlc +``` + +Hash lookup like is needed (for S): +`lookup(b1_s, len(b1_s), b0_s_child1_rlc)` + +We need a rotation to access `b0_s_child1_rlc`, but we cannot fix the rotation +as the `modified_node` can be any value between 0 and 15 - any of the following +values can appear to be needed: ` b0_s_child0_rlc, b0_s_child1_rlc, ..., b0_s_child15_rlc`. + +For this reason there are two additional columns in all 16 branch children rows +that specify the `modified_node` RLC: `modified_node_s_rlc` and `modified_node_c_rlc`. + +``` +_, _, b0_s_child0_rlc, _, _, b0_c_child0_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc +_, _, b0_s_child1_rlc, _, _, b0_c_child1_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc +... +_, _, b0_s_child15_rlc, _, _, b0_c_child15_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc +``` + +Now, we can rotate back to any of the branch children rows of `b0` to +access the RLC of the modified node. + +Note: currently, the implementation uses `s_keccak/c_keccak` columns +instead of `modified_node_s_rlc` and `modified_node_c_rlc`. + +##### Constraints: node hash in branch rows + +We need to make sure `modified_node_s_rlc` and `modified_node_c_rlc` +is the same in all branch children rows. ``` -s_keccak = convert_into_words(s_advices) -c_keccak = convert_into_words(c_advices) +modified_node_s_rlc_cur = modified_node_s_rlc_prev +modified_node_c_rlc_cur = modified_node_c_rlc_prev ``` ##### Constraint: no change except at is_modified position From c579d300805b280b0fbc1098409b8a7dcbcb35fd Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 9 Mar 2022 15:43:25 +0100 Subject: [PATCH 06/92] MPT: branch constraints --- specs/mpt-proof.md | 119 +++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 116 insertions(+), 3 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 5ff751295..2b5e8e594 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -130,10 +130,21 @@ Branch comprises 19 rows: ![branch](./img/branch.png) -In the picture, the last two rows are all zeros because this is a regular branch, +The picture presents a branch which has 14 empty nodes and 2 non-empty nodes. +The last two rows are all zeros because this is a regular branch, not an extension node. -`s_advices/c_advices` present the hash of a branch child. +Non-empty nodes are at positions 3 and 11. Position 11 corresponds to the key (that +means the key nibble that determines the position of a node in this branch is 11). + +`s_advices/c_advices` present the hash of a branch child/node. + +One can observe that in position 3: `s_advices = c_advices`, +while in position 11: `s_advices != c_advices`. + +That is because this is due to the modification at `key1` from `val1` to `val2`, +the nibble 11 corresponds to `key1`. + We need `s_advices/c_advices` for two things: - to compute the overall branch RLC (to be able to check the hash of a branch) @@ -153,6 +164,71 @@ just need to compute `mult * *_advices_RLC` and add this to the current RLC valu The layout then be simply: `s_rlp1, s_rlp2, s_child_rlc, c_rlp1, c_rlp2, c_child_rlc` +#### Key RLC in branch + +There are further columns (not shown in picture or table): + +- `node_index` +- `is_modified` +- `modified_node` + +In the example branch from the picture, `modified_node` would be 11. +`node_index` is simply an index running from 0 to 15. `modified_node` is 1 at +position 11, otherwise 0. + +Let's see a branch layout where we replace 32 columns of `s_advices` with +one column `s_child_rlc` and 32 columns of `c_advices` with +one column `c_child_rlc` (this simplification will most likely be implemented): + +``` +s_rlp1_0, s_rlp2_0, s_child0_rlc, c_rlp1_0, c_rlp2_0, c_child0_rlc +s_rlp1_1, s_rlp2_1, s_child1_rlc, c_rlp1_1, c_rlp2_1, c_child1_rlc +... +s_rlp1_15, s_rlp2_15, s_child15_rlc, c_rlp1_15, c_rlp2_15, c_child15_rlc +``` + +With the three `modified_node` related columns: + +``` +s_rlp1_0, s_rlp2_0, s_child0_rlc, c_rlp1_0, c_rlp2_0, c_child0_rlc, 0 (node_index), 0 (is_modified), 11 (modified_node) +s_rlp1_1, s_rlp2_1, s_child1_rlc, c_rlp1_1, c_rlp2_1, c_child1_rlc, 1 (node_index), 0 (is_modified), 11 (modified_node) +... +s_rlp1_11, s_rlp2_11, s_child11_rlc, c_rlp1_11, c_rlp2_11, c_child11_rlc, 11 (node_index), 1 (is_modified), 11 (modified_node) +... +s_rlp1_15, s_rlp2_15, s_child15_rlc, c_rlp1_15, c_rlp2_15, c_child15_rlc, 15 (node_index), 0 (is_modified), 11 (modified_node) +``` + +While navigating through branches, key RLC is being computed in the last branch child +row. Let us say there are six branches with the following `modified_node` values: +3, 11, 15, 14, 2, 1. + +These values present the first six nibbles of the key (after it is hashed). +That means the first three bytes of the key are: `3 * 16 + 11`, `15 * 16 + 14`, +`2 * 16 + 1`. + +To compute (partial) key RLC, we need to compute: + +``` +(3 * 16 + 11) + (15 * 16 + 14) * r + (2 * 16 + 1) * r^2 +``` + +Once we reach the leaf node, we take the rest of the nibbles there and compute +the full key RLC. This value needs to correspond to `key1` RLC. + +In the last branch child row, we compute `11 * 16 * key_rlc_mult` +or `11 * key_rlc_mult` and add this value to the value in `key_rlc` row. + +Columns (not shown in picture or table): + +- `key_rlc_mult` +- `key_rlc` +- `sel1` +- `sel2` + +Whether the factor 16 is used or not is determined by `sel1/sel2` columns. +`sel1/sel2` are boolean values and it holds `sel1 + sel2 = 0`. +The constraints for `sel1/sel2` are implemented in `BranchKeyChip`. + #### Branch init row The first two columns specify whether S branch has two or three RLP meta bytes @@ -307,14 +383,51 @@ modified_node_s_rlc_cur = modified_node_s_rlc_prev modified_node_c_rlc_cur = modified_node_c_rlc_prev ``` +##### Constraint: RLC of branch child at modified_node + +At `modified_node` position, `modified_node_s_rlc` and `modified_node_c_rlc` +need to be the RLC of `s_advices` and `c_advices` of the node that correspond +to the key (modified node). + +``` +rlc(s_advices) = modified_node_s_rlc at position modified_node +rlc(c_advices) = modified_node_c_rlc at position modified_node +``` + ##### Constraint: no change except at is_modified position -In all branch rows, except at `is_modified` position, it needs to hold: +In all branch rows, except at `modified_node` position, it needs to hold: + +``` +s_child_rlc = c_child_rlc +``` + +With current implementation: ``` s_advices = c_advices ``` +##### Constraint: is_modifed = 1 at modified_node, otherwise is_modified = 0 + +At `modified_node` position, it needs to hold: + +``` +is_modified = 1 +``` + +At other positions: + +``` +is_modified = 0 +``` + +##### Constraint: node_index increases by 1 + +``` +node_index_cur = node_index_prev + 1 +``` + ### Extension node rows Extension node can be viewed as a special branch. It contains a regular branch From d62eb1d9fa35ef462e9bce21a0336758f4379422 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 14 Mar 2022 16:23:05 +0100 Subject: [PATCH 07/92] MPT: extension nodes --- specs/mpt-proof.md | 278 ++++++++++++++++++++++++++++++++++++++------- 1 file changed, 237 insertions(+), 41 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 2b5e8e594..c779d151d 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -162,7 +162,7 @@ To integrate `*_advices` RLC into the computation of the whole branch RLC, we just need to compute `mult * *_advices_RLC` and add this to the current RLC value. The layout then be simply: -`s_rlp1, s_rlp2, s_child_rlc, c_rlp1, c_rlp2, c_child_rlc` +`s_rlp1, s_rlp2, s_node_rlc, c_rlp1, c_rlp2, c_node_rlc` #### Key RLC in branch @@ -177,25 +177,25 @@ In the example branch from the picture, `modified_node` would be 11. position 11, otherwise 0. Let's see a branch layout where we replace 32 columns of `s_advices` with -one column `s_child_rlc` and 32 columns of `c_advices` with -one column `c_child_rlc` (this simplification will most likely be implemented): +one column `s_node_rlc` and 32 columns of `c_advices` with +one column `c_node_rlc` (this simplification will most likely be implemented): ``` -s_rlp1_0, s_rlp2_0, s_child0_rlc, c_rlp1_0, c_rlp2_0, c_child0_rlc -s_rlp1_1, s_rlp2_1, s_child1_rlc, c_rlp1_1, c_rlp2_1, c_child1_rlc +s_rlp1_0, s_rlp2_0, s_node0_rlc, c_rlp1_0, c_rlp2_0, c_node0_rlc +s_rlp1_1, s_rlp2_1, s_node1_rlc, c_rlp1_1, c_rlp2_1, c_node1_rlc ... -s_rlp1_15, s_rlp2_15, s_child15_rlc, c_rlp1_15, c_rlp2_15, c_child15_rlc +s_rlp1_15, s_rlp2_15, s_node15_rlc, c_rlp1_15, c_rlp2_15, c_node15_rlc ``` With the three `modified_node` related columns: ``` -s_rlp1_0, s_rlp2_0, s_child0_rlc, c_rlp1_0, c_rlp2_0, c_child0_rlc, 0 (node_index), 0 (is_modified), 11 (modified_node) -s_rlp1_1, s_rlp2_1, s_child1_rlc, c_rlp1_1, c_rlp2_1, c_child1_rlc, 1 (node_index), 0 (is_modified), 11 (modified_node) +s_rlp1_0, s_rlp2_0, s_node0_rlc, c_rlp1_0, c_rlp2_0, c_node0_rlc, 0 (node_index), 0 (is_modified), 11 (modified_node) +s_rlp1_1, s_rlp2_1, s_node1_rlc, c_rlp1_1, c_rlp2_1, c_node1_rlc, 1 (node_index), 0 (is_modified), 11 (modified_node) ... -s_rlp1_11, s_rlp2_11, s_child11_rlc, c_rlp1_11, c_rlp2_11, c_child11_rlc, 11 (node_index), 1 (is_modified), 11 (modified_node) +s_rlp1_11, s_rlp2_11, s_node11_rlc, c_rlp1_11, c_rlp2_11, c_node11_rlc, 11 (node_index), 1 (is_modified), 11 (modified_node) ... -s_rlp1_15, s_rlp2_15, s_child15_rlc, c_rlp1_15, c_rlp2_15, c_child15_rlc, 15 (node_index), 0 (is_modified), 11 (modified_node) +s_rlp1_15, s_rlp2_15, s_node15_rlc, c_rlp1_15, c_rlp2_15, c_node15_rlc, 15 (node_index), 0 (is_modified), 11 (modified_node) ``` While navigating through branches, key RLC is being computed in the last branch child @@ -308,9 +308,6 @@ using a lookup which takes as an input: - Random Linear Combination (RLC) of the branch - parent branch `s_advices/c_advices` RLC at `is_modified` position -Currently, instead of `s_advices/c_advices` RLC, four columns (bytes into words) -are used: `s_keccak/c_keccak` (to be fixed). - Hash lookup looks like (for S): `lookup(S branch RLC, S branch length, s_advices RLC)`. @@ -325,19 +322,19 @@ Let's say we have a branch where `modified_node = 1`. For clarity, let's denote `s_rlp1, s_rlp2, c_rlp1, c_rlp2` simply with `_`. ``` -_, _, b0_s_child0_rlc, _, _, b0_c_child0_rlc -_, _, b0_s_child1_rlc, _, _, b0_c_child1_rlc +_, _, b0_s_node0_rlc, _, _, b0_c_node0_rlc +_, _, b0_s_node1_rlc, _, _, b0_c_node1_rlc ... -_, _, b0_s_child15_rlc, _, _, b0_c_child15_rlc +_, _, b0_s_node15_rlc, _, _, b0_c_node15_rlc ``` Let's say the next element in a proof is another branch: ``` -_, _, b1_s_child0_rlc, _, _, b1_c_child0_rlc -_, _, b1_s_child1_rlc, _, _, b1_c_child1_rlc +_, _, b1_s_node0_rlc, _, _, b1_c_node0_rlc +_, _, b1_s_node1_rlc, _, _, b1_c_node1_rlc ... -_, _, b1_s_child15_rlc, _, _, b1_c_child15_rlc +_, _, b1_s_node15_rlc, _, _, b1_c_node15_rlc ``` The hash of this second branch is in the parent branch at position 1. @@ -346,52 +343,49 @@ Let `b1_s` be the RLC of S part of this second branch and Then: ``` -hash(b1_s) = b0_s_child1_rlc -hash(b1_c) = b0_c_child1_rlc +hash(b1_s) = b0_s_node1_rlc +hash(b1_c) = b0_c_node1_rlc ``` Hash lookup like is needed (for S): -`lookup(b1_s, len(b1_s), b0_s_child1_rlc)` +`lookup(b1_s, len(b1_s), b0_s_node1_rlc)` -We need a rotation to access `b0_s_child1_rlc`, but we cannot fix the rotation +We need a rotation to access `b0_s_node1_rlc`, but we cannot fix the rotation as the `modified_node` can be any value between 0 and 15 - any of the following -values can appear to be needed: ` b0_s_child0_rlc, b0_s_child1_rlc, ..., b0_s_child15_rlc`. +values can appear to be needed: ` b0_s_node0_rlc, b0_s_node1_rlc, ..., b0_s_node15_rlc`. For this reason there are two additional columns in all 16 branch children rows -that specify the `modified_node` RLC: `modified_node_s_rlc` and `modified_node_c_rlc`. +that specify the `modified_node` RLC: `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc`. ``` -_, _, b0_s_child0_rlc, _, _, b0_c_child0_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc -_, _, b0_s_child1_rlc, _, _, b0_c_child1_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc +_, _, b0_s_node0_rlc, _, _, b0_c_node0_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc +_, _, b0_s_node1_rlc, _, _, b0_c_node1_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc ... -_, _, b0_s_child15_rlc, _, _, b0_c_child15_rlc, b0_modified_node_s_rlc, b0_modified_node_c_rlc +_, _, b0_s_node15_rlc, _, _, b0_c_node15_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc ``` -Now, we can rotate back to any of the branch children rows of `b0` to +Now, we can rotate back to any of the branch noderen rows of `b0` to access the RLC of the modified node. -Note: currently, the implementation uses `s_keccak/c_keccak` columns -instead of `modified_node_s_rlc` and `modified_node_c_rlc`. - ##### Constraints: node hash in branch rows -We need to make sure `modified_node_s_rlc` and `modified_node_c_rlc` +We need to make sure `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc` is the same in all branch children rows. ``` -modified_node_s_rlc_cur = modified_node_s_rlc_prev -modified_node_c_rlc_cur = modified_node_c_rlc_prev +s_mod_node_hash_rlc_cur = s_mod_node_hash_rlc_prev +c_mod_node_hash_rlc_cur = c_mod_node_hash_rlc_prev ``` ##### Constraint: RLC of branch child at modified_node -At `modified_node` position, `modified_node_s_rlc` and `modified_node_c_rlc` -need to be the RLC of `s_advices` and `c_advices` of the node that correspond +At `modified_node` position, `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc` +need to be the RLC of `s_advices` and `c_advices` of the node that corresponds to the key (modified node). ``` -rlc(s_advices) = modified_node_s_rlc at position modified_node -rlc(c_advices) = modified_node_c_rlc at position modified_node +rlc(s_advices) = s_mod_node_hash_rlc at position modified_node +rlc(c_advices) = c_mod_node_hash_rlc at position modified_node ``` ##### Constraint: no change except at is_modified position @@ -399,7 +393,7 @@ rlc(c_advices) = modified_node_c_rlc at position modified_node In all branch rows, except at `modified_node` position, it needs to hold: ``` -s_child_rlc = c_child_rlc +s_node_rlc = c_node_rlc ``` With current implementation: @@ -483,6 +477,94 @@ For example, in the case below, the nibble is 0 (16 - 16): In this case special witnesses for nibbles are not needed. +#### Constraints + +##### Constraint: selectors + +There are six possible scenarios: + +- extension node key contains only one nibble and `modified_node` needs to be + multiplied by `16` for `key RLC` +- extension node key contains only one nibble and `modified_node` needs to be + multiplied by `1` for `key RLC` +- extension node key contains even number of nibbles and `modified_node` needs to be + multiplied by `16` for `key RLC` +- extension node key contains even number of nibbles and `modified_node` needs to be + multiplied by `1` for `key RLC` +- extension node key contains odd number of nibbles (and more than 1) and `modified_node` needs to be multiplied by `16` for `key RLC` +- extension node key contains odd number of nibbles (and more than 1) and `modified_node` needs to be multiplied by `1` for `key RLC` + +Extension node RLP encoding needs to be differently handled in different scenarios. +For example, in the the case of only one nibble, there is only one RLP meta byte +(key starts already in `s_rlp2`). + +Key RLC information is packed together with information about number of nibbles to +reduce the expression degree. + +It needs to be ensured that the selectors are boolean and their sum is `0` or `1`. +If it is `0`, there is a regular branch. If it is `1`, there is an extension node. +See `extension_node.rs` for the constraints. + +Further, there are constraints in `extension_node_key.rs` that ensure the selector +corresponds to the actual + +##### Constraint: extension node RLC is properly computed + +Extension node RLC needs to be prperly computed for both, S and C. +This is done by taking into account each byte of the extension node. +The RLC is computed in two steps: the first +step computes bytes in `s_rlp1', 's_rlp2`, `s_advices` (stored in `acc_s` column), +the second step in `c_rlp1', 'c_rlp2`, `c_advices` (stored in `acc_c` column). + +First step: + +``` +rlc_s = s_rlp1 + s_rlp2 * r + s_advices[0] * r^2 + s_advices[1] * r^3 + ... + s_advices[31] * r^33 +``` + +Constraint: + +``` +rlc_s = acc_s +``` + +Second step: + +``` +rlc = rlc_first + c_rlp1 * r_1 + c_rlp2 * r_1^2 + c_advices[0] * r_1^3 + c_advices[1] * r_1^4 + ... + c_advices[31] * r_1^34 +``` + +Constraint: + +``` +rlc = acc_c +``` + +Note that not all `s_advices` are always used. In the above example, there is only +`0, 149`. The rest of `s_advices` are 0s. To ensure `s_advices` are 0 for `i > 1`, +`key_len_lookup` function is used (see below for a more detailed description). + +For S: +`lookup(S branch RLC (retrived from the last branch children row), S branch RLC length, c_advices RLC in extension row)`. + +For C extension node, the RLC from the first step from S extension node row is reused. +The second step is analogous to the S row, but uses the values from C row. + +##### Constraint: hash of the extension node is in the parent branch + +It needs to be checked that the extension node RLC is `mod_node_hash_rlc` +in the parent branch. + +``` +lookup(acc_c, extension node S length, s_mod_node_hash_rlc::(rot)) +lookup(acc_c, extension node C length, c_mod_node_hash_rlc::(rot-1)) +``` + +##### Constraint: hash of the underlying branch is in the extension node c_advices + +For S: +`lookup(S branch RLC (retrived from the last branch children row), S branch length, c_advices RLC in extension row)`. + ### Storage leaf There are 5 rows for a storage leaf. @@ -497,4 +579,118 @@ ______________________________________________________________________ `227, 161, 32, 187, 41, ..., 11` `225, 159, 57, 202, 166, ..., 17` -## Key RLC +## 0s in s_advices after substream ends + +In various cases, `s_advices` are used only to certain point. Consider the example below: + +``` +228, 130, 0, 149, 0, ..., 0 +``` + +In this example: + +``` +s_rlp1 = 228 +s_rlp2 = 130 +s_advices[0] = 0 +s_advices[1] = 149 +s_advices[2] = 0 +... +s_advices[31] = 0 +``` + +To prevent attacks on RLC, it needs to be checked that `s_advices[i] = 0` for `i > 1`: + +``` +s_advices[2] = 0 +... +s_advices[31] = 0 +``` + +The length of the substream is given by `s_rlp2`, it is `2 = 130 - 128` in the above example, +let us denote it by `len = 2`. + +`s_advices[i]` are checked to be bytes. + +Note that `(len - 1 - i) * s_advices[0] < 33 * 255` ensures `s_advices[i] = 0` for `i > len - 1`. + +``` +(len - 1) * s_advices[0] < 33 * 255 +(len - 2) * s_advices[1] < 33 * 255 +From now on, key_len < 0: +(len - 3) * s_advices[2] < 33 * 255 (Note that this will be true only if s_advices[2] = 0) +(len - 4) * s_advices[3] < 33 * 255 (Note that this will be true only if s_advices[3] = 0) +(len - 5) * s_advices[4] < 33 * 255 (Note that this will be true only if s_advices[4] = 0) +``` + +That is because when `len - i` goes below 0, it becomes a huge number close to field modulus. +Furthermore, `len` is at most 33. +If `len - i` is multiplied by `s_advices[i]` which is at most `255`, it will still be +bigger then `-32 * 255` which is much bigger than `33 * 255`. + +See `key_len_lookup` in `helpers.rs` for the implementation. + +## RLC multiplication factor after s_advices + +As we have seen above, +in various cases, `s_advices` are used only to certain point. Consider the example below: + +``` +228, 130, 0, 149, 0, ..., 0 +``` + +RLC is computed in two steps in such cases. +The first step computes bytes in `s_rlp1', 's_rlp2`, `s_advices` (stored in `acc_s` column), +the second step computes bytes in `c_rlp1', 'c_rlp2`, `c_advices` (stored in `acc_c` column). + +First step: + +``` +rlc_first_step = s_rlp1 + s_rlp2 * r + s_advices[0] * r^2 + s_advices[1] * r^3 + ... + s_advices[31] * r^33 +``` + +Constraint + +``` +rlc_first_step = acc_s +``` + +Note that the RLC is computed and assigned in the `sythesize` function, the chips then +verify whether that the computation is correct. + +In the next step: + +``` +rlc = rlc_first + c_rlp1 * r_1 + c_rlp2 * r_1^2 + c_advices[0] * r_1^3 + c_advices[1] * r_1^4 + ... + c_advices[31] * r_1^34 +``` + +Constraint: + +``` +rlc = acc_c +``` + +It also needs to be checked that `r_1` corresponds to `len`: + +``` +r_1 = r^(len+2) +``` + +This is checked using a lookup into a table: + +``` +(RMult, 0, 1) +(RMult, 1, r) +(RMult, 2, r^2) +(RMult, 3, r^3) +... +(RMult, 65, r^65) +``` + +The lookup looks like: + +``` +lookup(RMult, len+2, r_1) +``` + +See `mult_diff_lookup` in `helpers.rs` for the implementation. 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zW^^at>%jR**qqs({RJ)d=6nbL`68I~)zcU!zqM8F%WvvL3RAjOxt{};iq?}!k%~Jn zpYD7Ma{yYdZ6@PlUdsYHXqUHtQ)H%6KYNxguN@Zi72J_e^KqN%eC}J!AOza=4yMVk zE%Le&z78-BT3@XB@obI4vHg}@^J)Esjze`>U5L#~Mc-(zuWvq&UX7J!95BEZB*!4H zX*gT7Tpt0l3N)|0WgN83w1%2`CA)t3O<61U_j{M(!UfFv}6dD>JeAiz{Lz@>V$7Ql33>wMycV4>+&*?F4-|0t(RU?7V|{qD^nNc?7tq$uNTC zsCSYmTEA`wFC;{Lm6l!y$9WVcTi0|NwZ!aNZ#w3?O_2n-ml`zmbS~FGamCAC z+`+pfgbT;TVEpGJF9R40yU+iLBl)j~u3ZDJgumj>cVUA9&;5V<(T#*)s{i4Ti$smL z0`MjqsNZ We split the branch information into 16 rows (one row for each node). The proofs looks like: @@ -109,6 +153,8 @@ In the codebase, the columns are named: - `c_rlp2` - `c_advices` (32 columns) +![branch](./img/mpt.png) + ### Branch Branch comprises 19 rows: @@ -505,8 +551,27 @@ It needs to be ensured that the selectors are boolean and their sum is `0` or `1 If it is `0`, there is a regular branch. If it is `1`, there is an extension node. See `extension_node.rs` for the constraints. -Further, there are constraints in `extension_node_key.rs` that ensure the selector -corresponds to the actual +Further, there are constraints that ensure the selector +value is correct. For example, when there is only one nibble, `s_rlp1` has to be `226`. +Also, when there is an even number of nibbles, `s_advices[0]` has to be `0`. + +Information about key RLC multiplication factor is doubled to reduce the expression degree. +Thus the information appear in branch init row at the following positions: + +``` +pub const IS_BRANCH_C16_POS: usize = 19; +pub const IS_BRANCH_C1_POS: usize = 20; +pub const IS_EXT_SHORT_C16_POS: usize = 21; +pub const IS_EXT_SHORT_C1_POS: usize = 22; +pub const IS_EXT_LONG_EVEN_C16_POS: usize = 23; +pub const IS_EXT_LONG_EVEN_C1_POS: usize = 24; +pub const IS_EXT_LONG_ODD_C16_POS: usize = 25; +pub const IS_EXT_LONG_ODD_C1_POS: usize = 26; +``` + +There are constraints (`extension_node.rs`) that ensure the information at positions +`IS_BRANCH_C16_POS` and `IS_BRANCH_C1_POS` correspond to the information at positions +where extension node selectors are given. ##### Constraint: extension node RLC is properly computed @@ -567,19 +632,48 @@ For S: ### Storage leaf -There are 5 rows for a storage leaf. -2 rows for S proof, 2 rows for C proof -(it might be optimized to have only one row for a storage leaf). -1 row for cases when a leaf is turned into a branch or extension node. +There are five rows for a storage leaf: + +``` +Leaf key S +Leaf value S +Leaf key C +Leaf value C +Leaf in added branch +``` + +Note: it might be optimized to have only one row for a storage leaf. -`228, 159, 55, 204, 40,...` +For example: + + + +``` +226,160,62,102,91,... +30,0,0... +225,159,58,134,125,... +17,0,0 +225,159,54,91,73,... +``` + +##### Constraint: key RLC + +The first row contains the storage leaf S key bytes. These bytes are what remains from the +key after key nibbles are used to navigate through branches / extension nodes. +That means key RLC that is being partially computed in branches / extension nodes can +be finalized here. + +Intermediate key RLC `key_rlc_acc_start` is retrieved from the first branch children row. +Likewise, intermediate multiplication factor `key_mult_start` is retrieved from the same row. + +``` +``` -______________________________________________________________________ +... `key_len_lookup` -`227, 161, 32, 187, 41, ..., 11` -`225, 159, 57, 202, 166, ..., 17` +##### Constraint: leaf RLC -## 0s in s_advices after substream ends +## Zeros in s_advices after substream ends In various cases, `s_advices` are used only to certain point. 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Let's assume there are two proofs (as returned by `eth getProof`): -- A proof that there exists value `val1` at key `key1` for the trie with root `root1`. -- A proof that there exists value `val2` at key `key1` for the trie with root `root2`. +- A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. +- A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. The circuit checks the transition from `val1` to `val2` at `key1` that led to the change of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). @@ -42,77 +42,53 @@ The proof returned by `eth getProof` looks like: } ``` -In the above case account proof contains five elements. The last one is account leaf, -the first four are branches / extension nodes. The hash of account leaf is checked to +In the above case account proof contains five elements. +The first four are branches / extension nodes, the last one is account leaf. +The hash of the account leaf is checked to be in the fourth element (at the proper position - depends on the account address). The hash of the fourth element is checked to be in the third element (at the proper position) ... -The storage proof in the above case contains two elements. The second element is storage -leaf, the first one is branch or extension node. The hash of storage leaf is checked to +The storage proof in the above case contains two elements. +The first one is branch or extension node, the second element is storage leaf. +The hash of storage leaf is checked to be in the first element at the proper position (depends on the key). The hash of the first storage proof element (storage root) needs to be checked to be in the account leaf of the last account proof element. - - -We split the branch information into 16 rows (one row for each node). The proofs looks like: - -- Branch 0 node 0 -- Branch 0 node 1 -- Branch 0 node 2 (hash of Branch 1) -- ... -- Branch 0 node 15 -- Branch 1 node 0 -- Branch 1 node 1 (hash of a leaf) -- ... -- Branch 1 node 15 -- Leaf - -When `key1` is hashed and converted into hexadecimal value, it is a hexadecimal string of +When `key1` is hashed and converted into hexadecimal value - it becomes a hexadecimal string of length 64. The first character specifies under which position of Branch 0 is the node corresponding to `key1`. The second character specifies under which position of Branch 1 is the node corresponding to `key1`. The remaining characters are stored in a leaf. -Let's say the first character is 2 and the second character is 1. -In our case, this means the hash of a leaf is Branch 1 node 1 and hash of Branch 1 is -Branch 0 node 2. + +In the above case, we have four branches / extension nodes in the account proof. +Let's say `addr` turns into nibbles `3 b a 5 ...' That would mean the position (named `modified_node\`) of the underlying proof element is: + +- 3 in Branch 0 +- 11 in Branch 1 +- 10 in Branch 2 +- 5 in Branch 3 + +In the above case, we only have one branch / extension node in the storage proof. +Let's say `key1` turns into nibbles `7 ...' That would mean the position (named `modified_node\`) of the underlying storage leaf is: + +- 7 in Branch 0 If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, the proof will be different from the first one at Leaf, Branch 1 node 1, and Branch 0 node 2, other proof elements stay the same. To check the transition from `root1` to `root2` caused at `key1`, MPT circuit checks that both -proofs are the same except at the nodes that correspond to `key1` path (hexadecimal characters). -In proof 1, the root of Branch 0 needs to be `root1`. -In proof 2, the root of Branch 0 needs to be `root2`. +proofs are the same except at the nodes that correspond to `key1` path +(hexadecimal characters). + +In proof 1, the root of account Branch 0 needs to be `root1`. +In proof 2, the root of account Branch 0 needs to be `root2`. Furthermore, it needs to be checked that the nodes differ at indexes that correspond to `key1` path. @@ -272,7 +248,7 @@ Columns (not shown in picture or table): - `sel2` Whether the factor 16 is used or not is determined by `sel1/sel2` columns. -`sel1/sel2` are boolean values and it holds `sel1 + sel2 = 0`. +`sel1/sel2` are boolean values and it holds `sel1 + sel2 = 1`. The constraints for `sel1/sel2` are implemented in `BranchKeyChip`. #### Branch init row From 7f36a02166f2f6bfb1e41ca43b517723f4691315 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 18 Mar 2022 16:55:44 +0100 Subject: [PATCH 10/92] fix --- specs/mpt-proof.md | 31 +++++++++++++------------------ 1 file changed, 13 insertions(+), 18 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 15e2eb949..c06dbf258 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -58,7 +58,9 @@ to be in the account leaf of the last account proof element. We split the branch information into 16 rows (one row for each node). The proof looks like: -![branch](./img/proof.png) +

+ +

When `key1` is hashed and converted into hexadecimal value - it becomes a hexadecimal string of length 64. The first character specifies under which position of Branch 0 is the node @@ -67,7 +69,7 @@ The second character specifies under which position of Branch 1 is the node corresponding to `key1`. The remaining characters are stored in a leaf. In the above case, we have four branches / extension nodes in the account proof. -Let's say `addr` turns into nibbles `3 b a 5 ...' That would mean the position (named `modified_node\`) of the underlying proof element is: +Let's say `addr` turns into nibbles `3 b a 5 ...` That would mean the position (named `modified_node`) of the underlying proof element is: - 3 in Branch 0 - 11 in Branch 1 @@ -75,35 +77,30 @@ Let's say `addr` turns into nibbles `3 b a 5 ...' That would mean the position ( - 5 in Branch 3 In the above case, we only have one branch / extension node in the storage proof. -Let's say `key1` turns into nibbles `7 ...' That would mean the position (named `modified_node\`) of the underlying storage leaf is: +Let's say `key1` turns into nibbles `7 ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: - 7 in Branch 0 If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, -the proof will be different from the first one at Leaf, Branch 1 node 1, and Branch 0 node 2, -other proof elements stay the same. +the proof will be different from the first only at `modified_node` positions. To check the transition from `root1` to `root2` caused at `key1`, MPT circuit checks that both proofs are the same except at the nodes that correspond to `key1` path -(hexadecimal characters). +(hexadecimal characters presenting `modified_node`). In proof 1, the root of account Branch 0 needs to be `root1`. In proof 2, the root of account Branch 0 needs to be `root2`. -Furthermore, it needs to be checked that the nodes differ at indexes that +Also, it needs to be checked that the nodes differ only at indexes that correspond to `key1` path. To implement the constraints above, the two proofs are put in parallel in MPT rows. Each branch row contains information of branch node from proof 1 and as well as from proof 2: -- Branch 0 node 0 before change || Branch 0 node 0 after change -- Branch 0 node 1 before change || Branch 0 node 1 after change -- ... -- Branch 0 node 15 before change || Branch 0 node 15 after change -- Branch 1 node 0 before change || Branch 1 node 0 after change -- ... -- Branch 1 node 15 before change || Branch 1 node 15 after change -- Leaf (before change) -- Leaf (after change) +

+ +

+ +Proof 1 is on the left side, proof 2 is on the right side. ## Circuit Layout @@ -129,8 +126,6 @@ In the codebase, the columns are named: - `c_rlp2` - `c_advices` (32 columns) -![branch](./img/mpt.png) - ### Branch Branch comprises 19 rows: From a0ebbf93816b23545ef93e220ce77c7010acc8c5 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 22 Mar 2022 16:06:17 +0100 Subject: [PATCH 11/92] MPT diagrams --- specs/img/address_key.png | Bin 0 -> 275193 bytes specs/img/address_rlc.png | Bin 0 -> 142978 bytes specs/img/key_rlc.png | Bin 0 -> 122787 bytes specs/img/storage_leaf.png | Bin 0 -> 99415 bytes specs/mpt-proof.md | 90 ++++++++++++++++++++++++++++++++----- 5 files changed, 80 insertions(+), 10 deletions(-) create mode 100644 specs/img/address_key.png create mode 100644 specs/img/address_rlc.png create mode 100644 specs/img/key_rlc.png create mode 100644 specs/img/storage_leaf.png diff --git a/specs/img/address_key.png b/specs/img/address_key.png new file mode 100644 index 0000000000000000000000000000000000000000..60c4799194983d1f6edc5f528ffc3d7bde4295c0 GIT binary patch literal 275193 zcmeFYby$>J*Eoy_0;1BL5<@z4mq^FZDKUhINDkddNQX!_(jAJD(%sU6bPwgw&3Di7 zoaa67?{_`l|KD|ebImaK-1pvVt-bbIYp)_qO-1hUL-L0xC@7B=NlB?GNJ-JEIoiLrvavuxkq=AI#n992BhEDV_~FASDyBTvcY2Nc z@>rkHKNzD?JjG&&CnX37|IW@@=Ze=AUJ=gxE#dXOYPJZog9vmY3!{my;Qq7^?<%hP z&s3W0&qh*s?pRX#zGI*a;TVQ7;7p>@LJeslm^iN^6_hMLWTK+^I{OpT!aTUK*uY@& z=VVQHMho-rzNu9Rv(?=S-9cqSI6fdyo_9;8_az|?pV~b@S!|7y$3~%LJxG26KI>;CLGYIorwL%-aQn;$aUrJp|cIr-1p~Tb0%Q3L+ zshej;KHkANe(JjJB$Y$UA1tVxPC`&VX8Ag-T@bfpK0t+t$l)U`|2y~C=ftT+pMTP2 z#AhGApL(tElRe>iUK$lTJz`u1BjJt~P}s z(zW`e6UV6yjNMtbCQ0pYqkL=v_Lh_{;&$7uf1aLRv~oeqf~lfb(Z%wyNiado?rAT! z?$$Hf(+@;x~y^O(NF&ZDKkeD_6>r;g6WMD|f-ST^SMy;zjq;3;&R!H3VEPWX|Hu~rV#TAO@x zFp&YfKZJ>gqI&#p^fpOw?=^Vnj>?zg=f2tA7Kqqr`;>flb}6|h@EH4TjyCy4wp{Q= zHX~O&>5E9(V7xsTy(r3ANA5Bo<`aSRu&YNKh@s5i@uMp4(se3Zw7)W$Q<-j__W#Jf ze;88yHul2jnFB@db{NL$?FTCE)yq0Ohi>!(qfI}M&5>90p^n?UVq zGgtkn92friJ^CYJZ(&SQO0JQvu;mT-#)Ee&`nlIvo)i+lA4wh?v}|wOJ$dJ+>F0MB zYv0fdLV4oevAXyhV%dZC+<@wx(__*48nxmMA`;Z=q|qRzA>3qCB@>Jz*nQ(x95jD5 zTr4w5eEItXCJFByvXt5gIqwgmcV!c@V_3I(R*~73{S4}u_@g>d1m}523jlm2OpzC@r1bVr^Lk5vBjSB z>f}8XddEx4^x;Te#F4@y)cL9X2UX@^4Rxalw6BtK*~;I-Xx`c<$W89ZaiVelwnXdXpGOWVKhW;2@~4+5BZWL4x?+Sd{IgFZfL# zeo9u8oskq&7JNLS!L&>jD?h4q0@1|Ky|T^>y*O>9jiU4qgfO*YNBa#zE>@L8U(;-86srtT_5 zGamJg_YU;V^+l~It*JQD$fTJmAqpAP9hse2*5k?ht@_3K4P0DYuw7_Q++AWXDNh_v zZs3~}G$np{a5btT8@OOedP96e+^q6ue451TiVHO?>Z*|L;}yM8=t)Hh~;30qX@pUb+{(x*mdDmoWzV@fdY!}T^-LwiZ z4G|p?s8`sj-QLmch>N^1zwjqv?+kR|IcF8PXo0!2l5pB^?nt41VOD_~9N)#(MW{ij zA-}=PWzN~_*!fuWSmU?=uDwMyzBAf$Y2W!5j00aBz2hBxMQWXFGP7dJ*HQ7v z%bxQWZSQjvHM6RbrG_>psbJG0(~9MX9l{+~vURb6>PoqSGg*uSZfOK1pwq zJispCN?E-qd75go&YyTtBQc{R!`j9Ls$w2)$F-)|DEh@Zp*qAb)?XF%w`RoLzW13dFD2Y zM&zIzi>Ql%&3>0cSL>I1r(WXyuJI-lr|K~`&#vol4Q@nGN$-)}Ge8wa9lBrdpWq)8 zz#e!mDH4!by{j)&CRV1~R?#-L)X{eEvw1gVcLSH5K{Ssc@0k`8uaL9PRv>3Y)ovBM zD$`-)_xAD-UQlRJC=s535QvhxFnpX~n@Wi1P>Ya{mFum~MDClAH&)K8Z=9XiwzP8( zy7YQN&EaN}>`boOyElS!b$u|ol`sShL4;5xkOd9O3#Q4drYF~lAdEB|#y;mY_PO>Q zt|bx<#lu*%Sq?O%G;|AGBgwd4ZzM-p$y(*qTsmubDqcn(FI0arpN`z4+!U&C{}qM! zwpti1A<_2c#X^ud0Uwhi6LmlBtGw5{!{>uh>pG5JJVGfH++OZB3ojRxd~yBwT9lSJ z^jO>z*R#HI?|6LkJ1yA-n`T!j&pb1Wn2IpolwPwL_Q;}0Yview;NY`|Hox?h^$paM zOJ@`3>vJBPP}swlQ>e}}|9r5<7w46yK1RhY&2Ov&&Blhp4c1)`v(|91?>}UFD50#7 z;`pZIR0}aNW%Xp7Sk+61Q0I8S*<0A&bKubtnUkexdS7b23o$pFlg@z6z)$SgZo^nv zU#!6vcKg2;H|mECgbpe%ijOErlG&5LEFn~vCA3Mb36&!3!N&%59(c|2HAS}7S1T?N zEs4LC!0`= zxbm61^ub%ElntGl2Xk$XUiQDdn2kQ%I=pnz*-5OtYBH|7^^|ewYJS{JL2U2d65E34 zFUW@Qr9t?U>~3phYSyQwewTku;7_oa3!QsdD>k3``DT}65L)6&y2m_^uqbr5?5PMc zDlBO#EpeqdFxH9E87OT$jhu7xuCB;QOezdAlk*vGh9zk*Ws3OcNsOtd9R4NCE~ zyu52z=DcxGc%~sz{;g0&Z(2P|XK?}d=jhnhwEKDJKx~HGP>c@cxX8C%!S(Zi)f{JqJ@3-m1k1oEcGqZhA*;2JQvQqJJ2`YH$)hd zSR05L;M{Fo%q{a*ew$TVNP=@*8QR&yamch|cjJO@usDf$HL<|*C2 ztPvLKj(@#@*b8#oE7ryn1;yKus!9bUlB2=0jyn)k7UDYU2}szO`?@u$rX$ zN>$tq?5^nb@^o-lf6}RTQ?9YS0o+1*m2;H8W&w3W(9HVTxLcgTrzHY!ZT85<$1h%9 zHrx$;tPQqzyIn`yY-R4vZRJb_#&UmD(a-72k47ge5J z9$j5A8nU=8X`=+*AL>V48d5=dV}&wmx+qIlx{Hp1rhZy^AM={2Y?lP16Z;+c`7QP0 z<3&3=)G9v_n--z<3Iql-_e`mMcJ=^^$Uy5@6xv8b4 z@^j1G06!`FE>&7rKeg6V=@}lIW$(Vh5wttm_?vAvp<8#1a7@wGm@~h7nO7eY>AgSN z0pUlug`UD|2n2-{xW+_5yGM?K4qV*>KH~Q%{&OvRj~V6uU-wZ_P(rLw(Ec8y0(>K1 zAAk>X&Y$o5AA?aafM58)$2}YMpV8=q+4ujsM#~1Cp-5^ZafelO*Mcx%wvvRkv(U-Qe1$YMF5a;3&}>(0&f@>GVSi8l_rt#@igF;={x4qqVf0^j0ZxlQ6y^BOu8BYNpGGAI zHj>gxT2%}92E+{cLRAC)F#q`muI~+SoKyz;p`biRQIM9@a=*8mVLfP}?QRXT3wl^jCjd!EuijHcZBU*F`og53dT_Z6efP(ddD<^2IuPwn_Q=RJb|_I{(> z8enFw75(PF06+qk{9*pzsZh@5x`!Per7o0%mHh6%z0qZ2{yPbr{@rNo%>1(Jq5pLm zCaA=OVh{e`ctKE=Jwuv6pZZ@(zycUS`ro(!-2eX>@wbfpf0hv@?=dOGz3VR9aD1y? 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We split the branch information into 16 rows (one row for each node). The proof looks like:

- +

-When `key1` is hashed and converted into hexadecimal value - it becomes a hexadecimal string of -length 64. The first character specifies under which position of Branch 0 is the node +A key is hashed and converted into hexadecimal value - it becomes a hexadecimal string of +length 64. +Let's say we have a leaf: + +``` +key = [10,6,3,5,7,0,1,2,12,1,10,3,10,14,0,10,1,7,13,3,0,4,12,9,9,2,0,3,1,0,3,8,2,13,9,6,8,14,11,12,12,4,11,1,7,7,1,15,4,1,12,6,11,3,0,4,2,0,5,11,5,7,0,16] +val = [2] +``` + +In a proof, key is put in the +[compact form](https://github.com/ethereum/go-ethereum/blob/master/trie/hasher.go#L110) +It becomes: + +``` +[58,99,87,1,44,26,58,224,161,125,48,76,153,32,49,3,130,217,104,235,204,75,23,113,244,28,107,48,66,5,181,112] +``` + +Then the leaf is +[RLP encoded](https://github.com/ethereum/go-ethereum/blob/master/trie/hasher.go#L157) +It becomes: + +``` +[226,160,58,99,87,1,44,26,58,224,161,125,48,76,153,32,49,3,130,217,104,235,204,75,23,113,244,28,107,48,66,5,181,112,2] +``` + +Note that the RLP contains the key and the value (the last byte). In such a format, a storage +leaf appears in the MPT proof. + +The leaf RLP is hashed and it appears in the parent branch as: + +``` +[32,34,39,131,73,65,47,37,211,142,206,231,172,16,11,203,33,107,30,7,213,226,2,174,55,216,4,117,220,10,186,68] +``` + +Key nibbles specify the positions in branches / extension nodes. +The first nibble specifies under which position of Branch 0 is the node corresponding to `key1`. -The second character specifies under which position of Branch 1 is the node -corresponding to `key1`. The remaining characters are stored in a leaf. +The second nibble specifies under which position of Branch 1 is the node +corresponding to `key1`. The remaining nibbles are stored in a storage leaf +(in a compact form). + +In account proof, address is analogous to key in storage proof. + +

+ +

In the above case, we have four branches / extension nodes in the account proof. Let's say `addr` turns into nibbles `3 b a 5 ...` That would mean the position (named `modified_node`) of the underlying proof element is: @@ -77,9 +118,9 @@ Let's say `addr` turns into nibbles `3 b a 5 ...` That would mean the position ( - 5 in Branch 3 In the above case, we only have one branch / extension node in the storage proof. -Let's say `key1` turns into nibbles `7 ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: +Let's say `key1` turns into nibbles `a ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: -- 7 in Branch 0 +- 10 in Branch 0 If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, the proof will be different from the first only at `modified_node` positions. @@ -601,6 +642,24 @@ lookup(acc_c, extension node C length, c_mod_node_hash_rlc::(rot-1)) For S: `lookup(S branch RLC (retrived from the last branch children row), S branch length, c_advices RLC in extension row)`. +### Account leaf + +There are five rows for an account leaf: + +``` +Key S +Nonce balance S +Nonce balance C +Storage codehash S +Storage codehash C +``` + +There is only one key row, because the key is always the same for the two parallel proofs. + +

+ +

+ ### Storage leaf There are five rows for a storage leaf: @@ -613,12 +672,14 @@ Leaf value C Leaf in added branch ``` -Note: it might be optimized to have only one row for a storage leaf. - -For example: +Note that leaf key S and leaf key C are not always the same - for example +when a value is added to the key which was empty, the leaf key C will be +shorter. + + +

+ +

##### Constraint: key RLC +

+ +

+ The first row contains the storage leaf S key bytes. These bytes are what remains from the key after key nibbles are used to navigate through branches / extension nodes. That means key RLC that is being partially computed in branches / extension nodes can From 6e7ed4402086c694a1da4e86b6ce4d54af78bf65 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 23 Mar 2022 16:43:05 +0100 Subject: [PATCH 12/92] MPT in parent diagrams --- specs/img/branch_diagram.png | Bin 0 -> 53890 bytes specs/img/branch_in_parent.png | Bin 0 -> 106046 bytes specs/img/extension_in_parent.png | Bin 0 -> 130868 bytes specs/img/extension_node.png | Bin 0 -> 57322 bytes specs/mpt-proof.md | 101 +++++++++--------------------- 5 files changed, 30 insertions(+), 71 deletions(-) create mode 100644 specs/img/branch_diagram.png create mode 100644 specs/img/branch_in_parent.png create mode 100644 specs/img/extension_in_parent.png create mode 100644 specs/img/extension_node.png diff --git a/specs/img/branch_diagram.png b/specs/img/branch_diagram.png new file mode 100644 index 0000000000000000000000000000000000000000..379f6c795308f92d00e9efa68e0848e1a631be53 GIT binary patch literal 53890 zcmZ^}1yo#3vo?w|xJz&i?hFu?|g00Dv%+}$-uaCi3*G`PFFTY?35ceq2|PtLmk zIkVQD-n+f4s;jH&=}<*^Ni<|4WGE;oG-)Z2G87aX5#;?EfB^Y-#rsnW1%+y9CN8ch zEiO)>Xm9hy%+eSNN-8u#9Z^GN5I<8ZHadC&1|WshO05hlg_Hvytpi6)i9{1mh~xjQ zm6@@@8LRhO`8WEygfGxlOkoBmVeojypJ#f5hSH*a%O8erfv`;L3FzM`^(i#D3wIfan1&V_4GEoJY23ZKv;4=d%=Ef{?dRb31E}u$h z6#4=UZ6#$JsxMK(aKabZY&(qoH(y&U2lCF|7^rjT(jbUVBW*xsMh^#TU^T0FKhwao z1}~s5fhmH{puTLoq%Znxj+1Qc*#8W!JLctoOaa%EaF)@3t|FbiQ=(W%xh9^Uf zjeFNk^m`}+x1d8cq`5bRqw1Tc_@h{l`Wz`#JXO3T4bzd5VP-hm0pca4^Ol2nE(LE8 zpKLk-PT7>nm(VUg%yktf{Xb z_zAsBDcJC##3I>3@VtFq^Yztq4ur=iXiux`K#dS2^+wXH54DhxNjCW_u z(qh`NoboO7!NhNh!Vz`RbD@a?p%9|GW02nZkx-Z)lph4G#&hZWqU2K$1AKqVa5Ydl z=}Dkggk}RCp<|#1g67~cMvz4*XMEmFF;V05!MYaQmz_^_@d+H^)4rn2} z!tmt!xbAdy2Apko<|Mz|+>0H(Lqjpo{YZ3|Eg7_(P0JBa_&%H>2S_tZ z-+*P?C!9@=PX-Y7c+aARSD(umPTug6*y++9G!%I#BQe-LAZFA|u5Qj}>WW@PZ~o-v z6<_rQeKt*)`y$Wh+GTd9+hZmwae?X((-~jTFQY%wz{%H-NB>HL$ywGf*m*wA?-$Q5 zi#|oB_5k&Lut@n(QEn{fy!kxq{P<8KOy>+tZ>OO`tZdx3>aXyq_?`j)LK2Sg-q7{! z{cQx_jZb-x5AMVwr>J6=TJ3w=FX+BLDn33hF*Z#DZ=uj#yEj))%!DF=zbp*5LSHS^bCC1R79W6zE)$+&cs(f++wl9iuq1oX z^r@hw=&>VcD9oe~Vk1JZ_&H%yqT;ETVy*_%@{##{xhd$PFQf$RiQPgRDQ%(^=!2A% zKF`3_ib-b6#($N_k=}LXCe8@Q&q0|eFy+?_Jr=W=#M%9DDX`?%2J+zWEit@L=HCwI z;NZm%D=_?&jGOi~LC;u&RxN<1YxRzC&dT1V|4jqeN+*^p=U6x0=Fd~wTX#
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zem@*~S07sYZiZG*{7!)Es@?D}Jwb!72(q0iZ4W75%YM~eVy!16jx~eW!1gm~jz9AT z*{*8OS7TJ125;aONcgXZz{O7p%<+7Wozc&C@lVhH?@2GJIANt!KVvtA3W1-U)j>=d H+BfdMp-hm& literal 0 HcmV?d00001 diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 1536c9317..1d356f4cb 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -59,7 +59,7 @@ to be in the account leaf of the last account proof element. We split the branch information into 16 rows (one row for each node). The proof looks like:

- +

A key is hashed and converted into hexadecimal value - it becomes a hexadecimal string of @@ -106,21 +106,21 @@ corresponding to `key1`. The remaining nibbles are stored in a storage leaf In account proof, address is analogous to key in storage proof.

- +

-In the above case, we have four branches / extension nodes in the account proof. -Let's say `addr` turns into nibbles `3 b a 5 ...` That would mean the position (named `modified_node`) of the underlying proof element is: +In the above case, we have three branches / extension nodes in the account proof. +Let's say `addr` turns into nibbles `3 b a ...` That would mean the position (named `modified_node`) of the underlying proof element is: - 3 in Branch 0 - 11 in Branch 1 - 10 in Branch 2 -- 5 in Branch 3 -In the above case, we only have one branch / extension node in the storage proof. -Let's say `key1` turns into nibbles `a ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: +For the storage part, we have two branches / extension nodes. +Let's say `key1` turns into nibbles `a 2 ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: - 10 in Branch 0 +- 2 in Branch 1 If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, the proof will be different from the first only at `modified_node` positions. @@ -175,16 +175,17 @@ Branch comprises 19 rows: - 16 node rows - 2 extension node rows -| Row title | Row example | -| --------------------- | ------------------------------------------------------------------ | -| Branch init | `0, 1, 0, 1, 249, 2, 17, 249, 2, 17, 13` | -| Node 0 | `0, 160, 215, 178, 43, ..., 0, 160, 215, 178,...` | -| Node 1 | `0, 160, 195, 189, 38, ..., 0, 160, 195, 19, 38,...` | -| Node 2 (empty) | `0, 0, 128, 0, 0, ..., 0, 0, 128, 0, 0,...` | -| ... | ... | -| Node 15 | `0, 160, 22, 99, 129, ..., 0, 160, 22, 99, 129,...` | -| Extension row S | `228, 130, 0, 149, 0,..., 0, 160, 57, 70,...` | -| Extension row C | `0, 0, 5, 0, ...,0, 160, 57, 70,... 0` | +Branch: + +

+ +

+ +Extension node: + +

+ +

![branch](./img/branch.png) @@ -209,6 +210,18 @@ We need `s_advices/c_advices` for two things: - to check whether `s_advices/c_advices` (at `is_modified` position) present the hash of the next element in a proof +Branch in parent: + +

+ +

+ +Extension node in parent: + +

+ +

+ Hash lookup looks like (for example for branch S): ``` @@ -222,60 +235,6 @@ just need to compute `mult * *_advices_RLC` and add this to the current RLC valu The layout then be simply: `s_rlp1, s_rlp2, s_node_rlc, c_rlp1, c_rlp2, c_node_rlc` -#### Key RLC in branch - -There are further columns (not shown in picture or table): - -- `node_index` -- `is_modified` -- `modified_node` - -In the example branch from the picture, `modified_node` would be 11. -`node_index` is simply an index running from 0 to 15. `modified_node` is 1 at -position 11, otherwise 0. - -Let's see a branch layout where we replace 32 columns of `s_advices` with -one column `s_node_rlc` and 32 columns of `c_advices` with -one column `c_node_rlc` (this simplification will most likely be implemented): - -``` -s_rlp1_0, s_rlp2_0, s_node0_rlc, c_rlp1_0, c_rlp2_0, c_node0_rlc -s_rlp1_1, s_rlp2_1, s_node1_rlc, c_rlp1_1, c_rlp2_1, c_node1_rlc -... -s_rlp1_15, s_rlp2_15, s_node15_rlc, c_rlp1_15, c_rlp2_15, c_node15_rlc -``` - -With the three `modified_node` related columns: - -``` -s_rlp1_0, s_rlp2_0, s_node0_rlc, c_rlp1_0, c_rlp2_0, c_node0_rlc, 0 (node_index), 0 (is_modified), 11 (modified_node) -s_rlp1_1, s_rlp2_1, s_node1_rlc, c_rlp1_1, c_rlp2_1, c_node1_rlc, 1 (node_index), 0 (is_modified), 11 (modified_node) -... -s_rlp1_11, s_rlp2_11, s_node11_rlc, c_rlp1_11, c_rlp2_11, c_node11_rlc, 11 (node_index), 1 (is_modified), 11 (modified_node) -... -s_rlp1_15, s_rlp2_15, s_node15_rlc, c_rlp1_15, c_rlp2_15, c_node15_rlc, 15 (node_index), 0 (is_modified), 11 (modified_node) -``` - -While navigating through branches, key RLC is being computed in the last branch child -row. Let us say there are six branches with the following `modified_node` values: -3, 11, 15, 14, 2, 1. - -These values present the first six nibbles of the key (after it is hashed). -That means the first three bytes of the key are: `3 * 16 + 11`, `15 * 16 + 14`, -`2 * 16 + 1`. - -To compute (partial) key RLC, we need to compute: - -``` -(3 * 16 + 11) + (15 * 16 + 14) * r + (2 * 16 + 1) * r^2 -``` - -Once we reach the leaf node, we take the rest of the nibbles there and compute -the full key RLC. This value needs to correspond to `key1` RLC. - -In the last branch child row, we compute `11 * 16 * key_rlc_mult` -or `11 * key_rlc_mult` and add this value to the value in `key_rlc` row. - Columns (not shown in picture or table): - `key_rlc_mult` From e2f4ec370f3f73fbc83e2d6467aaee9cc27c801b Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 25 Mar 2022 16:42:37 +0100 Subject: [PATCH 13/92] branch diagrams --- specs/img/address_key_branch_rlc.png | Bin 0 -> 124847 bytes specs/img/branch_length.png | Bin 0 -> 28468 bytes specs/img/branch_rlc.png | Bin 0 -> 45615 bytes specs/img/branch_rlc_init.png | Bin 0 -> 40477 bytes specs/img/mod_node_hash_rlc.png | Bin 0 -> 53461 bytes specs/mpt-proof.md | 335 +++++++++++++-------------- 6 files changed, 158 insertions(+), 177 deletions(-) create mode 100644 specs/img/address_key_branch_rlc.png create mode 100644 specs/img/branch_length.png create mode 100644 specs/img/branch_rlc.png create mode 100644 specs/img/branch_rlc_init.png create mode 100644 specs/img/mod_node_hash_rlc.png diff --git a/specs/img/address_key_branch_rlc.png b/specs/img/address_key_branch_rlc.png new file mode 100644 index 0000000000000000000000000000000000000000..7e86d5bee483104f78cfa8cc4b9f9f5ee341f986 GIT binary patch literal 124847 zcmeFYgV5GAV^Ag2+}28(p>@r(t-#m-3Y^oAPoc3GPFvkGzdsHC?YA{-3-Gp zyk~swz0bYxd%y1=@caDcGs8J&pS{;!d-Yyx6Q!@KcK;sjJq!$t`x@%XPcblXP#73k z<9K(077X9ERtyY6XD1~keGMfgW_?e$mrl<17#QkNDJHn4h69w@<{uIg# z#a749yOUsrL&t*8o=i>tF8UiUccU+9Pjp4}qxzJWnAJQnwudoyDC{kN^@I;*CcLe< z9=z0TYq}iE5V_^b82E;ZF+yw+#ZEkl#cXZCtb<4VGFC&&At4(JC)hiLlG!6b7@voq zpY{n&>#gO&pSSh;6;eEnD9KxEl?Z`^V~i)g3b28+;}aIwyBLcdN$La`%-m7>rauJfOOx}Z)cegx{FpPo{O|w6&Vre6MOPey3@)A4OgLsGLeXDbS!7+`kiI6q> z-6s?HD;U`cLlLH=Er!7;_B;F$(?qjc%;CovFE{*PGmzCW`jt)3uMt(km6!$uqyy{$ z^G>%8PN;^p%>i8SbcX_kCL7sGv1e>%L3>Xabq`twegg2Md+v)Ehz#3z&=i)v
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zRglX*O_Wq$Dh_Ne>;?jZBrXsU+>HqT2+W$$RK7<%g#wq!Ne!^liRY8ZOxey^P`qA4 zR0LMSX270$YPH{2^+)&Fh@A~p+*fSX}6Y!%R3 z=fFk{y|T_?Vkk@R!K75ss><-( zr@n9JZWd99ZFPG^A@bDWc2tL#MF!`uuhtgi$HPAMa}J<>mJ_yYkZ2jw;502*ZmO9T zf<_S#e|`W&WM6gKHWrF6fYrc1<+Pt Proof 1 is on the left side, proof 2 is on the right side. -## Circuit Layout +## Branch / extension node layout The two parallel proofs are called S proof and C proof in the MPT circuit layout. @@ -175,7 +175,7 @@ Branch comprises 19 rows: - 16 node rows - 2 extension node rows -Branch: +Branch (the two extension node rows are empty):

@@ -187,16 +187,68 @@ Extension node:

-![branch](./img/branch.png) +Boolean selectors `is_branch_init`, `is_branch_child`, `is_last_branch_child`, +`is_modified` to trigger the constraints only when necessary. +Two examples: + +- checking that branch RLC is computed properly is done in the last branch row (`is_last_branch_child`) +- S and C children are checked to be the same in all rows except at `is_modified` + +There are two other columns that make sure the branch rows apply to the prescribed layout: +`node_index` and `modified_node`. + +`node_index` is checked to be running monotonously from 0 to 15. +This way it is ensured that branch layout really has 16 branch children rows. + +`modified_node` specifies the index at which the storage modification in this branch occured. +`modified_node` is checked to be the same in all branch children rows - having this value +available in all rows simplifies the constraints for checking that `is_modified` is true +only when `node_index - modified_node = 0`. Having `modified_node` available only in one row, +it would be difficult to write a constraint for `node_index - modified_node = 0` for all +16 rows. + +`is_last_branch_child` is checked to be in the row with `node_index` = 15. +`is_branch_child` is checked to follow either `is_branch_init` or `is_branch_child`. +After `is_branch_init` it is checked to be `is_branch_child = 1`. +After `is_branch_init` it is checked to be `node_index = 0`. +When `is_branch_child` changes, it is checked to be `node_index = 15` in the previous row. + +When `node_index != 15`, it is checked `is_last_branch_child = 0`. +When `node_index = 15`, it is checked `is_last_branch_child = 1`. + +All these constraints are given in `branch.rs`. +Constraints to ensure the proper order of rows (after what row `is_branch_init` can appear, +for example) are given in `selectors.rs`. + +

+ +

The picture presents a branch which has 14 empty nodes and 2 non-empty nodes. The last two rows are all zeros because this is a regular branch, not an extension node. +Each branch node row starts with 34 S proof columns and 34 C proof columns. +For non-empty rows, `rlp1` is always 160, because this denotes the length of the +substream which is 32 (= 160 - 128). The substream (in `advices`) in this case is hash of a +node. + +When there is an empty node, the column looks like: + +``` +0, 0, 128, 0, ..., 0 +``` + +Empty node in a RLP stream is denoted only by one byte - value 128. +MPT circuit uses padding with 0s to simplify the comparison +between S and C branch. This way, the branch nodes are aligned horizontally +for both proofs. + Non-empty nodes are at positions 3 and 11. Position 11 corresponds to the key (that -means the key nibble that determines the position of a node in this branch is 11). +means the key nibble that determines the position of a node in this branch is 11) and +is stored in `modified_node` column. -`s_advices/c_advices` present the hash of a branch child/node. +`s_advices/c_advices` present the hash of a branch child. One can observe that in position 3: `s_advices = c_advices`, while in position 11: `s_advices != c_advices`. @@ -206,7 +258,7 @@ the nibble 11 corresponds to `key1`. We need `s_advices/c_advices` for two things: -- to compute the overall branch RLC (to be able to check the hash of a branch) +- to compute the overall branch RLC (to be able to check the hash of a branch to be in a parent) - to check whether `s_advices/c_advices` (at `is_modified` position) present the hash of the next element in a proof @@ -222,222 +274,151 @@ Extension node in parent:

-Hash lookup looks like (for example for branch S): +The constraint for an element to be in a parent is implemented using lookups, for example: ``` -lookup(S branch RLC, S branch length, s_advices RLC at the is_modified position in parent branch) +lookup(branch RLC, branch length, hash RLC at is_modified in parent) ``` -TODO: instead of 32 columns for `*_advices`, use only the RLC of `*_advices`. +TODO: instead of 32 columns for `*_advices`, we could use only the RLC of `*_advices`. To integrate `*_advices` RLC into the computation of the whole branch RLC, we -just need to compute `mult * *_advices_RLC` and add this to the current RLC value. - -The layout then be simply: -`s_rlp1, s_rlp2, s_node_rlc, c_rlp1, c_rlp2, c_node_rlc` - -Columns (not shown in picture or table): - -- `key_rlc_mult` -- `key_rlc` -- `sel1` -- `sel2` - -Whether the factor 16 is used or not is determined by `sel1/sel2` columns. -`sel1/sel2` are boolean values and it holds `sel1 + sel2 = 1`. -The constraints for `sel1/sel2` are implemented in `BranchKeyChip`. +would just need to compute `mult * *_advices_RLC` and add this to the current RLC value. -#### Branch init row +To simplify the lookups, the hash of the modified node in branch S is stored in +`s_mod_node_hash_rlc` column. Similarly, for branch C in `c_mod_node_hash_rlc`. +It is checked that this value is the same in all 16 branch children rows. -The first two columns specify whether S branch has two or three RLP meta bytes -(these bytes specify the length of the stream): - -- `1, 0` means two RLP meta bytes -- `0, 1` means three RLP meta bytes - -For example, a branch with two RLP meta bytes starts like: -`248, 81, 128, 128,... ` -This means there are 81 bytes from position two onward in the branch RLP stream. - -To check whether the length of the stream correspond to the length specified -with the RLP meta bytes, we use column 0. In each row we subtract the number -of bytes in a row. In the last row we checked whether the value is 0. - -Note that branch node row can either have 33 bytes or 1 byte. 1 byte occurs -when the node is empty, in this case only the value 128 appears, which is stored -in column 2. - -For example, a branch with three RLP meta bytes starts like: -`249, 1, 81, 128, 16, ... ` -This means there are 1 * 256 + 81 bytes from position three onward. - -Summary: - -- cols 0 and 1: whether branch S has 2 or 3 RLP meta data bytes -- cols 2 and 3: whether branch C has 2 or 3 RLP meta data bytes -- cols 4 and 5: the actual branch S RLP meta data bytes -- col 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) -- cols 7 and 8: branch C RLP meta data bytes -- col 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) - -TODO: selectors - -#### Branch node rows - -Each branch node row starts with 34 S proof columns and 34 C proof columns. - -Example 34 S columns: - -`0, 160, 215, 178, 43, ..., 23` - -The first columns of S and C proof (`s_rlp1` and `c_rlp1`) in branch node rows are -used to check the RLP stream length. - -The second columns (`s_rlp2` and `c_rlp2`) are for RLP encoding of the length -of the substream. -For non-empty rows, it is always 160, because this denotes the length of the -substream which is 32 (= 160 - 128). The substream in this case is hash of a -node. - -When there is an empty node, the column looks like: -`0, 0, 128, 0, ..., 0`. - -Empty node in a RLP stream is denoted only by one byte - value 128. -MPT circuit uses padding with 0s to simplify the comparison -between S and C branch. This way, the branch nodes are aligned horizontally -for both proofs. - -For example, when a value is stored at a key that -hasn't been used yet, we will get an empty node in S branch and non-empty node -in C branch. We need to compare whether this change corresponds to the -key (key determines the index of the node in branch where change occurs). - -#### Constraints +

+ +

-##### Constraint: hash of the branch is in the parent branch +Having the same value in all rows makes it easier to check that the value correspond +to the hash at `modified_node` position (otherwise it would be difficult to determine +the rotation in the row where the hash rlc would be stored because the `modified_node` +is not fixed). -`is_modified` selector denotes the position in branch which corresponds to the key -(the branch child where the change occurs). +The lookup for a branch is in `branch_hash_in_parent`. The lookup for an extension +node is in `extension_node.rs`. -The whole branch needs to be hashed and the result needs to be checked -to be in the parent branch. This is checked in `BranchHashInParentChip` -using a lookup which takes as an input: +### Computing branch RLC -- Random Linear Combination (RLC) of the branch -- parent branch `s_advices/c_advices` RLC at `is_modified` position +The intermediate branch RLC is computed in each row, the final one is given in +`is_last_branch_child` row. -Hash lookup looks like (for S): -`lookup(S branch RLC, S branch length, s_advices RLC)`. +The constraints for RLC in branch init row are in `branch_rlc_init.rs`. -To simplify the constraints, the modified node RLC is stored in each -branch node. This is to enable rotations back to access the RLC of the modified node. -Thus, for example, when checking the branch hash to be in a parent branch, -we can rotate back to the last row in the parent branch and use the value from this -row for the lookup. +Note that the branch init contains the RLC bytes only in (some) of the first 10 columns. +The columns after this stores branch / extension node selectors. -Let's see an example. -Let's say we have a branch where `modified_node = 1`. For clarity, let's -denote `s_rlp1, s_rlp2, c_rlp1, c_rlp2` simply with `_`. +The RLP of a branch can appear in two slightly different versions: -``` -_, _, b0_s_node0_rlc, _, _, b0_c_node0_rlc -_, _, b0_s_node1_rlc, _, _, b0_c_node1_rlc -... -_, _, b0_s_node15_rlc, _, _, b0_c_node15_rlc -``` +- At the beginning there appear two RLP meta bytes +- At the beginning there appear three RLP meta bytes -Let's say the next element in a proof is another branch: +A branch with two RLP meta bytes looks like: ``` -_, _, b1_s_node0_rlc, _, _, b1_c_node0_rlc -_, _, b1_s_node1_rlc, _, _, b1_c_node1_rlc -... -_, _, b1_s_node15_rlc, _, _, b1_c_node15_rlc +248, 81,... ``` -The hash of this second branch is in the parent branch at position 1. -Let `b1_s` be the RLC of S part of this second branch and -`b1_c` be the RLC of C part of this second branch. -Then: +In this case, there are 81 bytes from position two onward in the branch RLP stream. +The RLC in this case should be `248 + 81r`. -``` -hash(b1_s) = b0_s_node1_rlc -hash(b1_c) = b0_c_node1_rlc -``` +A branch with three RLP meta bytes looks like: +`249, 1, 81,... ` +This means there are 1 * 256 + 81 bytes from position three onward. +The RLC in this case should be `249 + 1r + 81r^2`. -Hash lookup like is needed (for S): -`lookup(b1_s, len(b1_s), b0_s_node1_rlc)` +The first two columns in init branch specify whether S branch has two or three RLP meta bytes: -We need a rotation to access `b0_s_node1_rlc`, but we cannot fix the rotation -as the `modified_node` can be any value between 0 and 15 - any of the following -values can appear to be needed: ` b0_s_node0_rlc, b0_s_node1_rlc, ..., b0_s_node15_rlc`. +- `1, 0` means two RLP meta bytes +- `0, 1` means three RLP meta bytes -For this reason there are two additional columns in all 16 branch children rows -that specify the `modified_node` RLC: `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc`. +Branch init RLP bytes: -``` -_, _, b0_s_node0_rlc, _, _, b0_c_node0_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc -_, _, b0_s_node1_rlc, _, _, b0_c_node1_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc -... -_, _, b0_s_node15_rlc, _, _, b0_c_node15_rlc, b0_s_mod_node_hash_rlc, b0_c_mod_node_hash_rlc -``` +- cols 2 and 3: whether branch C has 2 or 3 RLP meta data bytes +- cols 4 and 5: the actual branch S RLP meta data bytes +- col 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) +- cols 7 and 8: branch C RLP meta data bytes +- col 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) -Now, we can rotate back to any of the branch noderen rows of `b0` to -access the RLC of the modified node. +The intermediate RLC values are stored in `acc_s` and `acc_c` columns for S and C branch +respectively. -##### Constraints: node hash in branch rows +

+ +

-We need to make sure `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc` -is the same in all branch children rows. +Two additional columns are needed: `acc_mult_s` and `acc_mult_c`. +These two columns are used to know with what multiplier should the next row begin with: ``` -s_mod_node_hash_rlc_cur = s_mod_node_hash_rlc_prev -c_mod_node_hash_rlc_cur = c_mod_node_hash_rlc_prev +acc_s = acc_s_prev + s_rlp2 * acc_mult_s + s_advices[0] * acc_mult_s * r + s_advices[1] * acc_mult_s * r^2 ``` -##### Constraint: RLC of branch child at modified_node - -At `modified_node` position, `s_mod_node_hash_rlc` and `c_mod_node_hash_rlc` -need to be the RLC of `s_advices` and `c_advices` of the node that corresponds -to the key (modified node). - -``` -rlc(s_advices) = s_mod_node_hash_rlc at position modified_node -rlc(c_advices) = c_mod_node_hash_rlc at position modified_node -``` +

+ +

-##### Constraint: no change except at is_modified position +Constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c` +being computed properly are in `branch_rlc.rs`. -In all branch rows, except at `modified_node` position, it needs to hold: +There are two types of branch child: empty and non-empty. An empty child only contains +128 in `advices[0]` column, a non-empty child contains 160 in `rlp1` and then the child's +hash is given in 32 `advices` columns. +The constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c` are thus simple because +there is in both cases a fixed number of columns used. For example, the constraint +for `acc_mult_s` for non-empty child would be: ``` -s_node_rlc = c_node_rlc +acc_mult_s = acc_mult_s_prev * r^33 ``` -With current implementation: +It is different in leaf rows where the number of columns used is not fixed as we will +see below. -``` -s_advices = c_advices -``` +In `is_last_branch_child` row, `acc_s` and `acc_c` contain the RLC of branch S and branch C +respectively. -##### Constraint: is_modifed = 1 at modified_node, otherwise is_modified = 0 +### Branch length correspond to the RLP meta bytes -At `modified_node` position, it needs to hold: +To check whether the length of the stream correspond to the length specified +with the RLP meta bytes, we use column 0. In each row we subtract the number +of bytes in a row. In the last row we checked whether the value is 1 (1 because +RLP length includes also ValueNode which occupies 1 byte). -``` -is_modified = 1 -``` +

+ +

-At other positions: +Note that branch node row can have either have 33 bytes or 1 byte. So, in each row, +the value in column 0 decreases by 33 or 1. These constraints are implemented in `branch.rs`. -``` -is_modified = 0 -``` +### Address and key RLC in branch nodes -##### Constraint: node_index increases by 1 +`modified_node` in the branch corresponds to one of the nibbles of key/address. +To check whether the proper key/address is used, key/address RLC is computed and +finally checked in the leaf row. +In each branch, an intermediate key/address RLC is checked to be computed properly. -``` -node_index_cur = node_index_prev + 1 -``` +

+ +

+ +Two consecutive branches represent one byte of key/address. We need to know whether +the branch `modified_node` is the first or the second nibble of the key/address byte. +This information is given in branch init in two `s_advices` columns +`s_advices[IS_BRANCH_C16_POS - LAYOUT_OFFSET]` and +`s_advices[IS_BRANCH_C1_POS - LAYOUT_OFFSET]`. + +If it is the first nibble, `modified_node` is multiplied by 16, otherwise by 1. +Constraints for +`s_advices[IS_BRANCH_C16_POS - LAYOUT_OFFSET]` and +`s_advices[IS_BRANCH_C1_POS - LAYOUT_OFFSET]` +are implemented in `branch_key.rs`. +For example, the two values need to be boolean, need to alternate (this alternating +gets more complicated when there is an extension node instead of a branch as it will be +discussed below), and the sum of the two needs to be 1. ### Extension node rows From 1baa3f067183b2e1d8ee7c9a7f343d76ed97fc09 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 1 Apr 2022 16:04:28 +0200 Subject: [PATCH 14/92] MPT branch / extension node --- specs/img/branch_rlc.png | Bin 45615 -> 50914 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-Extension node: +Extension node (the two extension node rows are non-empty):

Boolean selectors `is_branch_init`, `is_branch_child`, `is_last_branch_child`, -`is_modified` to trigger the constraints only when necessary. +`is_modified` are used to trigger the constraints only when necessary. Two examples: -- checking that branch RLC is computed properly is done in the last branch row (`is_last_branch_child`) -- S and C children are checked to be the same in all rows except at `is_modified` +- Checking that hash of a branch RLP is in the parent element + (branch / extension node) is done in the last branch row (`is_last_branch_child`) +- S and C children are checked to be the same in all rows except at `is_modified`. -There are two other columns that make sure the branch rows apply to the prescribed layout: -`node_index` and `modified_node`. +There are two other columns that ensure that branch rows follow +the prescribed layout: `node_index` and `modified_node`. `node_index` is checked to be running monotonously from 0 to 15. This way it is ensured that branch layout really has 16 branch children rows. @@ -209,16 +210,16 @@ it would be difficult to write a constraint for `node_index - modified_node = 0` `is_last_branch_child` is checked to be in the row with `node_index` = 15. `is_branch_child` is checked to follow either `is_branch_init` or `is_branch_child`. -After `is_branch_init` it is checked to be `is_branch_child = 1`. -After `is_branch_init` it is checked to be `node_index = 0`. +After `is_branch_init` it is checked to be a row with `is_branch_child = 1`. +After `is_branch_init` it is checked to be a row `node_index = 0`. When `is_branch_child` changes, it is checked to be `node_index = 15` in the previous row. -When `node_index != 15`, it is checked `is_last_branch_child = 0`. -When `node_index = 15`, it is checked `is_last_branch_child = 1`. +When `node_index != 15`, it is checked that `is_last_branch_child = 0`. +When `node_index = 15`, it is checked that `is_last_branch_child = 1`. -All these constraints are given in `branch.rs`. +All these constraints are implemented in `branch.rs`. Constraints to ensure the proper order of rows (after what row `is_branch_init` can appear, -for example) are given in `selectors.rs`. +for example) are implemented in `selectors.rs`.

@@ -229,9 +230,15 @@ The last two rows are all zeros because this is a regular branch, not an extension node. Each branch node row starts with 34 S proof columns and 34 C proof columns. -For non-empty rows, `rlp1` is always 160, because this denotes the length of the -substream which is 32 (= 160 - 128). The substream (in `advices`) in this case is hash of a -node. +For non-empty rows, `rlp1` is always 160: + +``` +0, 160, 55, 235, ... +``` + +This is because 160 denotes (in RLP encoding) the length of the +substream which is 32 (= 160 - 128). The substream in this case is hash +of a branch child. When there is an empty node, the column looks like: @@ -239,12 +246,14 @@ When there is an empty node, the column looks like: 0, 0, 128, 0, ..., 0 ``` -Empty node in a RLP stream is denoted only by one byte - value 128. -MPT circuit uses padding with 0s to simplify the comparison +Empty node in a RLP stream is denoted only by one byte - by value 128. +However, MPT circuit uses padding with 0s - empty node occupies the whole row too. +This is too simplify the comparisons between S and C branch. This way, the branch nodes are aligned horizontally for both proofs. -Non-empty nodes are at positions 3 and 11. Position 11 corresponds to the key (that +Non-empty nodes in the above picture are at positions 3 and 11. +Position 11 corresponds to the key (that means the key nibble that determines the position of a node in this branch is 11) and is stored in `modified_node` column. @@ -253,22 +262,23 @@ is stored in `modified_node` column. One can observe that in position 3: `s_advices = c_advices`, while in position 11: `s_advices != c_advices`. -That is because this is due to the modification at `key1` from `val1` to `val2`, -the nibble 11 corresponds to `key1`. +That is because the nibble 11 corresponds to `key1` where the storage modification +occured. The branch at position 3 is not affected by this storage modification. We need `s_advices/c_advices` for two things: -- to compute the overall branch RLC (to be able to check the hash of a branch to be in a parent) -- to check whether `s_advices/c_advices` (at `is_modified` position) - present the hash of the next element in a proof +- To compute the overall branch RLC (to be able to check the hash of a branch RLP to be in a parent) - in this case, `s_advices/c_advices` is a substream of RLP stream, we need to compare hash of the whole RLP stream to be in a parent +- To check whether `s_advices/c_advices` (at `is_modified` position) + present the hash of the next element in a proof - in this case, `s_advices/c_advices` + presents hash that is to be compared to be the hash of the underlying element. -Branch in parent: +Checking branch hash in a parent:

-Extension node in parent: +Checking extension node hash in a parent:

@@ -285,35 +295,32 @@ To integrate `*_advices` RLC into the computation of the whole branch RLC, we would just need to compute `mult * *_advices_RLC` and add this to the current RLC value. To simplify the lookups, the hash of the modified node in branch S is stored in -`s_mod_node_hash_rlc` column. Similarly, for branch C in `c_mod_node_hash_rlc`. +`s_mod_node_hash_rlc` column. Similarly, for branch C it is stored in `c_mod_node_hash_rlc`. It is checked that this value is the same in all 16 branch children rows.

-Having the same value in all rows makes it easier to check that the value correspond -to the hash at `modified_node` position (otherwise it would be difficult to determine -the rotation in the row where the hash rlc would be stored because the `modified_node` -is not fixed). +Having the same value in all rows makes it easier to check that the value corresponds +to the hash at `modified_node` position: otherwise it would be difficult to determine +the rotation to the row where hash rlc is stored because `modified_node` +is not fixed. -The lookup for a branch is in `branch_hash_in_parent`. The lookup for an extension -node is in `extension_node.rs`. +The lookup constraints for branch are implemented in `branch_hash_in_parent`. The lookup constraints for extension node are implemented in `extension_node.rs`. ### Computing branch RLC The intermediate branch RLC is computed in each row, the final one is given in `is_last_branch_child` row. -The constraints for RLC in branch init row are in `branch_rlc_init.rs`. - -Note that the branch init contains the RLC bytes only in (some) of the first 10 columns. +Branch init row contains the RLC bytes only in (some) of the first 10 columns. The columns after this stores branch / extension node selectors. The RLP of a branch can appear in two slightly different versions: -- At the beginning there appear two RLP meta bytes -- At the beginning there appear three RLP meta bytes +- At the beginning there are two RLP meta bytes +- At the beginning there are three RLP meta bytes. A branch with two RLP meta bytes looks like: @@ -322,38 +329,47 @@ A branch with two RLP meta bytes looks like: ``` In this case, there are 81 bytes from position two onward in the branch RLP stream. -The RLC in this case should be `248 + 81r`. +The intermediate RLC in this case should be `248 + 81r`. A branch with three RLP meta bytes looks like: -`249, 1, 81,... ` + +``` +249, 1, 81,... +``` + This means there are 1 * 256 + 81 bytes from position three onward. -The RLC in this case should be `249 + 1r + 81r^2`. +The intermediate RLC in this case should be `249 + 1r + 81r^2`. -The first two columns in init branch specify whether S branch has two or three RLP meta bytes: +Columns 0 and 1 in branch init row specify whether S branch has two or three RLP meta bytes: - `1, 0` means two RLP meta bytes -- `0, 1` means three RLP meta bytes +- `0, 1` means three RLP meta bytes. + +Similarly, columns 2 and 3 specify +whether C branch has two or three RLP meta bytes. -Branch init RLP bytes: +Further branch init RLP bytes: -- cols 2 and 3: whether branch C has 2 or 3 RLP meta data bytes -- cols 4 and 5: the actual branch S RLP meta data bytes -- col 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) -- cols 7 and 8: branch C RLP meta data bytes -- col 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) +- Columns 4 and 5: the actual branch S RLP meta data bytes +- Column 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) +- Columns 7 and 8: branch C RLP meta data bytes +- Column 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) The intermediate RLC values are stored in `acc_s` and `acc_c` columns for S and C branch respectively. +The constraints for RLC in branch init row are implemented in `branch_rlc_init.rs`. +

-Two additional columns are needed: `acc_mult_s` and `acc_mult_c`. -These two columns are used to know with what multiplier should the next row begin with: +To check the intermediate RLC for `is_branch_child` rows, +two additional columns are needed: `acc_mult_s` and `acc_mult_c`. +These two columns are used to know with what multiplier should be used in the next row: ``` -acc_s = acc_s_prev + s_rlp2 * acc_mult_s + s_advices[0] * acc_mult_s * r + s_advices[1] * acc_mult_s * r^2 +acc_s = acc_s_prev + s_rlp2 * acc_mult_s_prev + s_advices[0] * acc_mult_s_prev * r + s_advices[1] * acc_mult_s_prev * r^2 ```

@@ -361,57 +377,79 @@ acc_s = acc_s_prev + s_rlp2 * acc_mult_s + s_advices[0] * acc_mult_s * r + s_adv

Constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c` -being computed properly are in `branch_rlc.rs`. +are implemented in `branch_rlc.rs`. -There are two types of branch child: empty and non-empty. An empty child only contains -128 in `advices[0]` column, a non-empty child contains 160 in `rlp1` and then the child's -hash is given in 32 `advices` columns. -The constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c` are thus simple because -there is in both cases a fixed number of columns used. For example, the constraint +There are two types of branch child: empty and non-empty. +Both has a fixed number of bytes (33 and 1) which simplifies +the constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c`. +For example, the constraint for `acc_mult_s` for non-empty child would be: ``` acc_mult_s = acc_mult_s_prev * r^33 ``` -It is different in leaf rows where the number of columns used is not fixed as we will -see below. +On the other hand, leaf rows do not have a fixed number of bytes (key in a leaf +can be of different lengths) which require more complex constraints as is described +below. -In `is_last_branch_child` row, `acc_s` and `acc_c` contain the RLC of branch S and branch C -respectively. +In `is_last_branch_child` row, columns `acc_s` and `acc_c` contain the RLC of branch S and branch C respectively. These two values are compared to be the same as +the intermediate RLC values in the last branch children row. -### Branch length correspond to the RLP meta bytes +### Branch length corresponds to the RLP meta bytes -To check whether the length of the stream correspond to the length specified -with the RLP meta bytes, we use column 0. In each row we subtract the number -of bytes in a row. In the last row we checked whether the value is 1 (1 because -RLP length includes also ValueNode which occupies 1 byte). +As discussed above, branch RLP can have two or three RLP meta bytes that specify +its length. +To check whether the actual length of the stream corresponds to the length specified +with the RLP meta bytes, column 0 is used (`s_rlp1, c_rlp1`). +In each row we subtract the number +of bytes in a row: 33 for non-empty row, 1 for empty row. +In the last row we checked whether the value is 1. + +The final value should be 1 (and not 0) because +RLP length includes also ValueNode which occupies 1 byte and is not stored in MPT layout.

- +

-Note that branch node row can have either have 33 bytes or 1 byte. So, in each row, -the value in column 0 decreases by 33 or 1. These constraints are implemented in `branch.rs`. +Constraints for RLP length are implemented in `branch.rs`. ### Address and key RLC in branch nodes -`modified_node` in the branch corresponds to one of the nibbles of key/address. -To check whether the proper key/address is used, key/address RLC is computed and -finally checked in the leaf row. -In each branch, an intermediate key/address RLC is checked to be computed properly. +To check that storage modification occurs at the proper address / key, +the circuit computes intermediate address RLC / key RLC at each branch / extension node. The final address RLC is computed in `is_account_leaf` row, the final +key RLC is computed in `is_leaf_key` row. + +In each branch, +`modified_node` corresponds to one of the nibbles of the key/address.

-Two consecutive branches represent one byte of key/address. We need to know whether -the branch `modified_node` is the first or the second nibble of the key/address byte. -This information is given in branch init in two `s_advices` columns +Let us say the address (after being hashed) is composed of the following nibbles: + +``` +n0 n1 n2 ... n63 +``` + +This means the bytes are: + +``` +(n0 * 16 + n1) (n2 * 16 + n3) ... (n62 * 16 + n63) +``` + +`modified_node` in one branch / extension node corresponds to one nibble, two +consecutive elements (each branch or extension node) corresponds to one byte. + +To compute the RLC, we need to know whether +the branch / extension node is the first or second nibble of a byte. +This information is given in branch init row in two `s_advices` columns: `s_advices[IS_BRANCH_C16_POS - LAYOUT_OFFSET]` and `s_advices[IS_BRANCH_C1_POS - LAYOUT_OFFSET]`. - If it is the first nibble, `modified_node` is multiplied by 16, otherwise by 1. + Constraints for `s_advices[IS_BRANCH_C16_POS - LAYOUT_OFFSET]` and `s_advices[IS_BRANCH_C1_POS - LAYOUT_OFFSET]` @@ -422,40 +460,102 @@ discussed below), and the sum of the two needs to be 1. ### Extension node rows -Extension node can be viewed as a special branch. It contains a regular branch -with the addition of a key extension. Key extension is set of nibbles (most -often only one or two nibbles) that "extend" the path to the branch. +When does extension node appear? + +Let us first observe the leaf in the picture below. + +

+ +

-The extension node element in proof (returned by `eth getProof`) contains -the information about nibbles and the hash of the underlying branch. +This leaf appears at position: + +``` +n0 n1 n2 n3 +``` + +The rest of the nibbles are stored in the leaf. + +There are three possible storage modification scenarios: + +- If the storage modification occurs at the same key (all 64 nibbles match), the + value in the leaf will be updated. +- If the storage modification occurs at the key where `n0 n1 n2 n3` match, + a branch is inserted instead of a leaf. Let us say the nibbles of the key where + change occurs are: `n0 n1 n2 n3 m4 m5 ... m63`. This branch contains two leaves: + the old one at position `n4` and the new one at position `m4`. + +

+ +

+- If the storage modification occurs at the key where `n0 n1 n2 n3` match and +also some further nibbles match, for example: `n4 = m4, n5 = m5, n6 = m6`, + an extension node is inserted instead of a leaf. Extension node is like a leaf, + it contains key (which stores nibbles, in our example: `n4 n5 n6`) and value which is + hash of the new branch. The new branch contains two leaves: + the old one at position `n7` and the new one at position `m7` (where `n7 != m7`). +

+ +

+ +Extension node can be viewed as a special branch. It contains a regular branch, +but to arrive to this branch there is an extension - additional nibbles to be +navigated. In the picture, the extension is: `n4 n5 n6`. + +The extension node element returned by `eth getProof` thus appear +as leaf. It contains: + +- In the key: the information about nibbles in the leaf key. +- In the value: the hash of the underlying branch. For example, the proof element of an extension node looks like: -`228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249` +``` +228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249 +``` + +The key (information about nibbles) is stored in: + +``` +0 149 +``` + +The value (branch hash) is stored in: -130 means there are 2 (130 - 128) bytes compressing the nibbles. -These two bytes are -`0, 149`. -The two nibbles compressed are 9 and 5 (149 = 9 * 16 + 5). +``` +114 253 150 ... +``` + +The second byte (130) means there are 2 (130 - 128) bytes compressing the nibbles. +These two bytes are `0, 149` and they represent +the two nibbles: 9 and 5 (149 = 9 * 16 + 5). The bytes after 160 present a hash of the underlying branch. -MPT layout uses `s_rlp1`, `s_rlp2`, and `s_advices` for RLP meta bytes and nibbles, -while `c_advices` are used for branch hash (`c_rlp2` stores 160 - denoting the number -of hash bytes). +The layout uses `s_rlp1`, `s_rlp2`, and `s_advices` for RLP meta bytes and nibbles, +while `c_advices` are used for branch hash, and `c_rlp2` stores 160 - denoting the number of hash bytes. + +

+ +

There are two extension node rows - one for S proof, one for C proof. -However, the extension key (nibbles) is the same for both proofs, we don't need -to double this information. -For this reason, in C row, we don't put key into `s_rlp1`, `s_rlp2`, and `s_advices`, -we just put hash of C extension node underlying branch in `c_advices`. +However, the extension key (nibbles) is the same for S and C, we do not need +to duplicate this information. +For this reason, in C row, we do not put key into `s_rlp1`, `s_rlp2`, and `s_advices`, +we just put hash of C underlying branch in `c_advices`. -However, in C row, we store additional witness for nibbles (because nibbles are -given compressed in bytes) into `s_rlp1`, `s_rlp2`, and `s_advices`. +But we do not leave `s_rlp1, s_rlp2, s_advices` empty in C row, we store additional witness for nibbles there because nibbles are +compressed in bytes and it makes it difficult to decompress back into nibbles +without any helper witnesses. For example: `0, 0, 5, 0, 0, ...` + + Here, 5 presents the second nibbles of 149 (see above). Having the second nibble simplifies the computation of the first nibble. From 2ac8de893434b99e8d29260080c09c260b039886 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 6 Apr 2022 16:48:00 +0200 Subject: [PATCH 15/92] MPT: storage leaf --- specs/mpt-proof.md | 47 ++++++++++++++++++++++++++++++++++++---------- 1 file changed, 37 insertions(+), 10 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 8a52293c3..f13f9e12c 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -549,23 +549,24 @@ But we do not leave `s_rlp1, s_rlp2, s_advices` empty in C row, we store additio compressed in bytes and it makes it difficult to decompress back into nibbles without any helper witnesses. -For example: -`0, 0, 5, 0, 0, ...` +Thus, the two extension rows look like: -Here, 5 presents the second nibbles of 149 (see above). -Having the second nibble simplifies the computation of the first nibble. - -Thus, the two extension rows look like: - ``` -228,130,0,149, 0, ..., 0, 160, S underlying branch hash -0, 0, 5, 0, ..., 0, 160, C underlying branch hash +[228,130,0,149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] ``` +Here, 5 presents the second nibble of 149 (149 = 9 * 16 + 5). +Having the second nibble simplifies the computation of the first nibble. + + + There is bit of a difference in RLP stream when only one nibble appears. In this case there is no byte specifying the length of the key extension (130 in the above case). @@ -733,6 +734,32 @@ For example:

+Storage leaf can appear in two RLP formats: + +- Short: if leaf RLP length is less or equal 55, it has only two RLP meta bytes, like: + +``` +[226,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,1] +``` + +In the above example `226 160` are RLP meta data bytes. 226 means the length of leaf RLP (behind this byte) is 34 (226 - 192). 160 means there are 32 (160 - 128) bytes in the +following substream that represents the `key` (compressed nibbles). +Finally, there is a last byte that represents the leaf value: 1. +Summary: `226 (representing length: 34) 160 (representing key length: 32) 59 ... 68 (32 bytes representing key) 1 (representing value)`. + +- Long: if leaf RLP length is more than 55, it has only two RLP meta bytes, like: + +``` +[248,67,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170] +``` + +In this example, `248 67 160` are RLP meta bytes. 248 means there is 1 byte (248 - 247) +specifying the length of RLP. This byte is 67 - there are 67 bytes after this byte. +160 means there are 32 bytes in the substream that follows and represents the `key`. +`161 160` represents RLP meta bytes for leaf `value`. 161 represents length 31 (161 - 128), +160 represents length 32 (160 - 128) which is the length of the actual value: `187 239 ... 170`. +Summary: `248 67 (representing length) 160 (representing key length: 32) 59 ... 68 (32 bytes representing length) 161 160 (representing value length: 32) 187 ... 170 (representing value)`. + ##### Constraint: key RLC

From ece4504b3eac766f8ef3508ba1415b4c657bd8c1 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 13 Apr 2022 13:20:57 +0200 Subject: [PATCH 16/92] MPT: lookups --- specs/mpt-proof.md | 87 +++++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 83 insertions(+), 4 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index f13f9e12c..3bfd3c18e 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -410,7 +410,7 @@ The final value should be 1 (and not 0) because RLP length includes also ValueNode which occupies 1 byte and is not stored in MPT layout.

- +

Constraints for RLP length are implemented in `branch.rs`. @@ -536,7 +536,7 @@ The layout uses `s_rlp1`, `s_rlp2`, and `s_advices` for RLP meta bytes and nibbl while `c_advices` are used for branch hash, and `c_rlp2` stores 160 - denoting the number of hash bytes.

- +

There are two extension node rows - one for S proof, one for C proof. @@ -781,7 +781,86 @@ Likewise, intermediate multiplication factor `key_mult_start` is retrieved from ##### Constraint: leaf RLC -## Zeros in s_advices after substream ends +## Lookups into MPT + +Lookups for `nonce`, `balance`, and `codehash` modifications are enabled in account +leaf rows. +Account leaf rows are the following: + +``` +Key S +Nonce balance S +Nonce balance C +Storage codehash S +Storage codehash C +``` + +Lookup for `nonce` and `balance` modifications are enabled in the third +account leaf row (`Nonce balance C`). +To enable lookups, this row contains `nonce` and `balance` S (previous) and C (current) values +(their RLCs). + +`nonce` lookup should check for the following fields: +``` +counter, address_rlc, nonce_s_rlc, nonce_c_rlc, is_nonce_mod +``` + +`balance` is to be ignored in `nonce` lookup, but it is ensured that it does not change +when `is_nonce_mod` (meaning `balance_s_rlc = balance_c_rlc`). + +Similarly, +`balance` lookup should check for the following fields: +``` +counter, address_rlc, balance_s_rlc, balance_c_rlc, is_balance_mod +``` + +Lookup for `codehash` modifications is enabled in the fifth +account leaf row (`Storage codehash C`). +To enable lookups, this row contains `codehash` S (previous) and C (current) values +(their RLCs). + +`codehash` lookup should check for the following fields: +``` +counter, address_rlc, codehash_s_rlc, codehash_c_rlc, is_codehash_mod +``` + +Differently, storage modification lookup is enabled in the storage leaf value C row. +Storage leaf rows are the following: +``` +Leaf key S +Leaf value S +Leaf key C +Leaf value C +Leaf in added branch +``` + +To enable lookups, `Leaf value C` row contains leaf value S (previous) and leaf value C +(current) RLCs, as well as leaf key C RLC. + +`storage` lookup should check for the following fields: +``` +counter, address_rlc, key_rlc, value_s_rlc, value_c_rlc, is_storage_mod +``` + +Selectors `is_nonce_mod`, `is_balance_mod`, `is_codehash_mod`, `is_storage_mod` are ensured +to be booleans and their sum is ensured to be 1. It is ensured that only one modification +takes place at once. + +`address_rlc` used in `storage` lookup is ensured to be the same as computed in the +`account leaf key` row. This is done by checking that the value in `address_rlc` column +does not change when passing down from `account leaf key` row to `leaf value C` row. + +Note that that the attacker could try to omit the account proof and providing just +a storage proof with the appropriate `address_rlc` value. This would enable `storage` +lookups where the attacker would avoid triggering all account proof related constraints. +However, this is prevented by ensuring each storage proof has a corresponding account +proof (by checking `address_rlc` starts with 0 value in the first level of the proof +and can be changed only in `account leaf key` row). + + +## Helper techniques + +### Zeros in s_advices after substream ends In various cases, `s_advices` are used only to certain point. Consider the example below: @@ -832,7 +911,7 @@ bigger then `-32 * 255` which is much bigger than `33 * 255`. See `key_len_lookup` in `helpers.rs` for the implementation. -## RLC multiplication factor after s_advices +### RLC multiplication factor after s_advices As we have seen above, in various cases, `s_advices` are used only to certain point. 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index 3bfd3c18e..d367e04aa 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -683,7 +683,7 @@ lookup(acc_c, extension node C length, c_mod_node_hash_rlc::(rot-1)) For S: `lookup(S branch RLC (retrived from the last branch children row), S branch length, c_advices RLC in extension row)`. -### Account leaf +## Account leaf There are five rows for an account leaf: @@ -701,7 +701,7 @@ There is only one key row, because the key is always the same for the two parall

-### Storage leaf +## Storage leaf There are five rows for a storage leaf: @@ -745,7 +745,8 @@ Storage leaf can appear in two RLP formats: In the above example `226 160` are RLP meta data bytes. 226 means the length of leaf RLP (behind this byte) is 34 (226 - 192). 160 means there are 32 (160 - 128) bytes in the following substream that represents the `key` (compressed nibbles). Finally, there is a last byte that represents the leaf value: 1. -Summary: `226 (representing length: 34) 160 (representing key length: 32) 59 ... 68 (32 bytes representing key) 1 (representing value)`. + +Leaf RLP: `226 (representing leaf length: 34) 160 (representing key length: 32) 59 ... 68 (32 bytes representing key) 1 (representing value)`. - Long: if leaf RLP length is more than 55, it has only two RLP meta bytes, like: @@ -758,9 +759,10 @@ specifying the length of RLP. This byte is 67 - there are 67 bytes after this by 160 means there are 32 bytes in the substream that follows and represents the `key`. `161 160` represents RLP meta bytes for leaf `value`. 161 represents length 31 (161 - 128), 160 represents length 32 (160 - 128) which is the length of the actual value: `187 239 ... 170`. -Summary: `248 67 (representing length) 160 (representing key length: 32) 59 ... 68 (32 bytes representing length) 161 160 (representing value length: 32) 187 ... 170 (representing value)`. -##### Constraint: key RLC +Leaf RLP: `248 67 (representing leaf length) 160 (representing key length: 32) 59 ... 68 (32 bytes representing length) 161 160 (representing value length: 32) 187 ... 170 (representing value)`. + +### Key RLC in storage leaf

@@ -768,18 +770,96 @@ Summary: `248 67 (representing length) 160 (representing key length: 32) 59 ... The first row contains the storage leaf S key bytes. These bytes are what remains from the key after key nibbles are used to navigate through branches / extension nodes. -That means key RLC that is being partially computed in branches / extension nodes can +That means: key RLC that is being partially computed in branches / extension nodes can be finalized here. -Intermediate key RLC `key_rlc_acc_start` is retrieved from the first branch children row. -Likewise, intermediate multiplication factor `key_mult_start` is retrieved from the same row. +Let us say there are two branches above the leaf as in the picture above. +The intermediate key RLC is thus: `n0 * 16 + n1` +where `n1` is the position of the leaf in the second branch and `n0` is the position +of the second branch in the first branch. + +The remaining key nibbles (`n2 ... n63`) are stored in `leaf key` row. +The final `key_rlc` to be computed is: + +``` +(n0 * 16 + n1) + (n2 * 16 + n3) * r + ... + (n62 * 16 + n63) * r^31 +``` + +This computation depends on two things: + +- Whether it is short or long RLP (see above). +- Whether the remaining number of nibbles is even or odd. + +Key nibbles are stored from position 2 (short RLP) or 3 (long RLP) onward. + +Let observe how the even or odd number of the remaining key nibbles affects the computation +using two examples. The two selectors to determine whether it is the even or odd case is retrieved +from the branch init row (IS_BRANCH_C16_POS, IS_BRANCH_C1_POS). The constraints for +these selectors are implemented in `branch_key`. + +#### Example with even number of remaining nibbles + +Let us have the following key RLP: + +``` +[226, 160, 32, 16 * 3 + 2, 16 * 8 + 4, ... +``` + +32 means there are even number of remaining nibbles. The remaining nibbles are: +`3, 2, 8, 4, ...`. +To compute `key_rlc`, the intermediate `key_rlc_prev` and `key_rlc_mult_prev` are retrieved +from the branch above: + +``` +key_rlc = key_rlc_prev + (16 * 3 + 2) * key_rlc_mult_prev + (16 * 8 + 4) * key_rlc_mult_prev * r + ... +``` + +#### Example with odd number of remaining nibbles + +Let us have the following key RLP: + +``` +[226, 160, 48 + 7, 16 * 3 + 2, 16 * 8 + 4, ... +``` + +48 + 7 means the first of the remaining nibbles is 7. `key_rlc` is computed: ``` +key_rlc = key_rlc_prev + 7 * key_rlc_mult_prev + (16 * 3 + 2) * key_rlc_mult_prev * r + (16 * 8 + 4) * key_rlc_mult_prev * r^2 + ... ``` -... `key_len_lookup` +### Leaf RLC + +Leaf RLC is computed in both, `leaf key` row and `leaf value` row. +It goes over all leaf RLP bytes (`b0 b1 ... bl`) and computes: + +``` +b0 + b1 * r + ... + bl * r^l +``` + +The intermediate RLC is computed in `leaf key` row, this value (`leaf_rlc_prev`) is then retrieved in `leaf value` row and used for the final computation. + +Leaf hash is checked to be in the parent branch / extension node at the +`modified_node` position. + +However, there are a couple of special case when check of the hash needs to be handled +separately. + +#### Case 1: storage trie has only one leaf -##### Constraint: leaf RLC +Let observe the case where there is only one leaf in the storage trie and another leaf +is added. That means the storage trie in the S proof will contain only one leaf, whereas +the storage trie in the C proof will contain a branch or extension node with two leaves. + +

+ +

+ +In order not to break the layout, a placeholder branch / extension node is added in S +proof. This way, the leaf S and leaf C are positioned one after another as in other cases +(where the number of branches above the leaf S and leaf C is the same). + +No constraints are triggered for a placeholder branch / extension node. ## Lookups into MPT @@ -795,12 +875,13 @@ Storage codehash S Storage codehash C ``` -Lookup for `nonce` and `balance` modifications are enabled in the third +Lookup for `nonce` and `balance` modifications are enabled in the third account leaf row (`Nonce balance C`). To enable lookups, this row contains `nonce` and `balance` S (previous) and C (current) values (their RLCs). `nonce` lookup should check for the following fields: + ``` counter, address_rlc, nonce_s_rlc, nonce_c_rlc, is_nonce_mod ``` @@ -808,24 +889,27 @@ counter, address_rlc, nonce_s_rlc, nonce_c_rlc, is_nonce_mod `balance` is to be ignored in `nonce` lookup, but it is ensured that it does not change when `is_nonce_mod` (meaning `balance_s_rlc = balance_c_rlc`). -Similarly, +Similarly, `balance` lookup should check for the following fields: + ``` counter, address_rlc, balance_s_rlc, balance_c_rlc, is_balance_mod ``` -Lookup for `codehash` modifications is enabled in the fifth +Lookup for `codehash` modifications is enabled in the fifth account leaf row (`Storage codehash C`). To enable lookups, this row contains `codehash` S (previous) and C (current) values (their RLCs). `codehash` lookup should check for the following fields: + ``` counter, address_rlc, codehash_s_rlc, codehash_c_rlc, is_codehash_mod ``` Differently, storage modification lookup is enabled in the storage leaf value C row. Storage leaf rows are the following: + ``` Leaf key S Leaf value S @@ -838,6 +922,7 @@ To enable lookups, `Leaf value C` row contains leaf value S (previous) and leaf (current) RLCs, as well as leaf key C RLC. `storage` lookup should check for the following fields: + ``` counter, address_rlc, key_rlc, value_s_rlc, value_c_rlc, is_storage_mod ``` @@ -857,7 +942,6 @@ However, this is prevented by ensuring each storage proof has a corresponding ac proof (by checking `address_rlc` starts with 0 value in the first level of the proof and can be changed only in `account leaf key` row). - ## Helper techniques ### Zeros in s_advices after substream ends From 4190c120b8ad7eaf7a671dced74529d3d7883c92 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 15 Apr 2022 16:00:42 +0200 Subject: [PATCH 18/92] MPT: hash of a leaf --- specs/img/placeholder_branch.png | Bin 0 -> 128542 bytes specs/img/storage_leaf_placeholder.png | Bin 0 -> 74172 bytes specs/mpt-proof.md | 78 ++++++++++++++++++++++--- 3 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z(>;Il{Qr+jvdw#fC+*dqr*Ysx_=5PP9fBw#G!k6c$ zZ#UY0r)YKlE0vftmY2ewE3E(hQzl&P+NTo>ey9Eac6!=@y{s(t-^I%9ASneBIe(a$ zIL`^W#cEah#e_}TsHicrz45*;9C9}K)V`fd&cChyo?7#=KJ2<` zfK>Rdr!!c5HomM7PD$rVIFm2=+rNKxMK3;Pnm>&GHS_P{K&K-uv;Q8P zaqXnp@1SSr-{;IqF6#UF`R4hPz(gtgbGdCRc8@=2;>`S%y(ZFjn!?K+0S=u)9+K>pr!C5 zS~O%nB#lGU3@8gW9B2ckCSG;d>0lnJ{2DHfe_^aw)geg?S;2;d4G;1UdtOvUjvkP4 zKm%3-4GeYs3M?zo_2pH e=pr|^>=}4jgN~nB@WhA#2s~Z=T-G@yGywn&o_~)3 literal 0 HcmV?d00001 diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index d367e04aa..61bf38ae3 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -845,21 +845,85 @@ Leaf hash is checked to be in the parent branch / extension node at the However, there are a couple of special case when check of the hash needs to be handled separately. -#### Case 1: storage trie has only one leaf +#### Case 1: Leaf turns into branch / extension node -Let observe the case where there is only one leaf in the storage trie and another leaf -is added. That means the storage trie in the S proof will contain only one leaf, whereas -the storage trie in the C proof will contain a branch or extension node with two leaves. +Let us observe the case where storing a value turns a leaf into a branch or extension node. +Let us say we have `Leaf 1` and we set +value `val` at key `key` which will result in `Leaf 2`. + +In this case S proof will be shorter than C proof. +The layout would look like: + +``` +Branch 1 | Branch 1 + | Branch 11 +Leaf 1 | Leaf 2 +``` + +`Leaf 1` is replaced by `Branch 11`. `Branch 11` contains two leaves: `Leaf 1` and `Leaf 2`. +However, `Leaf 1` has a shorter key now. To enable the verification that `Branch 11` contains +only two leaves and one of them is `Leaf 1` (with shorted key), the modified `Leaf 1` is stored +in the fifth storage leaf row (`Leaf in added branch`). It is ensured that the values +in this row correspond to `Leaf 1`.

- +

-In order not to break the layout, a placeholder branch / extension node is added in S +In order not to break the layout, a placeholder branch is added in S proof. This way, the leaf S and leaf C are positioned one after another as in other cases (where the number of branches above the leaf S and leaf C is the same). -No constraints are triggered for a placeholder branch / extension node. +To make it simpler, for the placeholder branch its paralell counterpart is used (when +S branch is a placeholder, C branch is used as a placeholder; when C branch is a placeholder, +S branch is used as a placeholder). + +This way, the equalities between S and C branch still holds. +On the other hand, the constraint for branch hash to be in a parent element is switched off. +Instead, the hash of a leaf is checked to be in an element that is above the placeholder +branch. + +In case when there are two leaves in a branch and one of them is deleted, the scenario is +reversed: C proof contains placeholder branch. + +#### Case 2: Key not used yet + +Let us say no value is set at key `key`. +After setting the value at `key`, S proof would not have a leaf, while C proof would have it: + +``` +Branch 1 | Branch 1 + | Leaf 2 +``` + +To preserve the layout a placeholder leaf `Leaf 1` is added: + +``` +Branch 1 | Branch 1 +Leaf 1 | Leaf 2 +``` + +In this case, the leaf constraints are switched off for the placeholder leaf. +Instead, it is checked that there is an empty row in branch at `modified_node` position. + +

+ +

+ +The information whether the leaf is a placeholder is stored in `sel1` and `sel2` columns +in branch rows (in all rows to simplify the constraints, similarly as `modified_node`, see +above). + +Note that when the key is deleted, the scenario is reversed: C proof constains the placeholder +leaf. + +#### Case 3: Key in first level - leaf turns into branch / extension node + +

+ +

+ +#### Case 4: Key in first level - key not used yet ## Lookups into MPT From bd614997b6df60021733a6ac816ccdcd3c2bac24 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 19 Apr 2022 17:08:28 +0200 Subject: [PATCH 19/92] MPT: key_rlc in extension nodes: --- specs/mpt-proof.md | 231 ++++++++++++++++++++++++++------------------- 1 file changed, 132 insertions(+), 99 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 61bf38ae3..ca81df19a 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -462,17 +462,14 @@ discussed below), and the sum of the two needs to be 1. When does extension node appear? -Let us first observe the leaf in the picture below. +Let us observe the leaf in the picture below.

-This leaf appears at position: - -``` -n0 n1 n2 n3 -``` +The leaf appears at position `n3` in the branch. Its parent branch appears at position `n2` in +its own parent. Likewise for `n1` and `n0` (`n0` is position in the root branch). The rest of the nibbles are stored in the leaf. @@ -482,18 +479,23 @@ There are three possible storage modification scenarios: value in the leaf will be updated. - If the storage modification occurs at the key where `n0 n1 n2 n3` match, a branch is inserted instead of a leaf. Let us say the nibbles of the key where - change occurs are: `n0 n1 n2 n3 m4 m5 ... m63`. This branch contains two leaves: + change occurs are: `n0 n1 n2 n3 m4 m5 ... m63`. The new branch contains two leaves: the old one at position `n4` and the new one at position `m4`. +- If the storage modification occurs at the key where `n0 n1 n2 n3` match and + also some further nibbles match, for example: `n4 = m4, n5 = m5, n6 = m6`, + an extension node is inserted instead of a leaf. Extension node is like a leaf, + it contains key (which stores nibbles, in our example: `n4 n5 n6`) and value which is + a hash of the new branch. As in the second scenario, the new branch contains two leaves: + the old one at position `n7` and the new one at position `m7` (where `n7 != m7`). + +Leaf into branch:

-- If the storage modification occurs at the key where `n0 n1 n2 n3` match and -also some further nibbles match, for example: `n4 = m4, n5 = m5, n6 = m6`, - an extension node is inserted instead of a leaf. Extension node is like a leaf, - it contains key (which stores nibbles, in our example: `n4 n5 n6`) and value which is - hash of the new branch. The new branch contains two leaves: - the old one at position `n7` and the new one at position `m7` (where `n7 != m7`). + +Leaf into extension node: +

@@ -508,7 +510,7 @@ as leaf. It contains: - In the key: the information about nibbles in the leaf key. - In the value: the hash of the underlying branch. -For example, the proof element of an extension node looks like: +For example, the `eth getProof` returns: ``` 228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249 @@ -526,14 +528,14 @@ The value (branch hash) is stored in: 114 253 150 ... ``` -The second byte (130) means there are 2 (130 - 128) bytes compressing the nibbles. +The second byte (130) means there are two (130 - 128) bytes compressing the nibbles. These two bytes are `0, 149` and they represent the two nibbles: 9 and 5 (149 = 9 * 16 + 5). -The bytes after 160 present a hash of the underlying branch. +The bytes after 160 represent a hash of the underlying branch. The layout uses `s_rlp1`, `s_rlp2`, and `s_advices` for RLP meta bytes and nibbles, -while `c_advices` are used for branch hash, and `c_rlp2` stores 160 - denoting the number of hash bytes. +while `c_advices` are used for branch hash, and `c_rlp2` stores 160 (denoting the number of hash bytes).

@@ -545,9 +547,10 @@ to duplicate this information. For this reason, in C row, we do not put key into `s_rlp1`, `s_rlp2`, and `s_advices`, we just put hash of C underlying branch in `c_advices`. -But we do not leave `s_rlp1, s_rlp2, s_advices` empty in C row, we store additional witness for nibbles there because nibbles are -compressed in bytes and it makes it difficult to decompress back into nibbles -without any helper witnesses. +But we do not leave `s_rlp1, s_rlp2, s_advices` empty in C row, we store additional witness for +nibbles there because nibbles are +compressed into bytes and it is difficult to decompress back into nibbles +without any helper witnesses. This is not needed in all cases though, as we will see below. Thus, the two extension rows look like: @@ -556,132 +559,162 @@ generated with TestExtensionTwoKeyBytesSel1 --> ``` -[228,130,0,149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] -[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] +[228,130,0,149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] ``` -Here, 5 presents the second nibble of 149 (149 = 9 * 16 + 5). -Having the second nibble simplifies the computation of the first nibble. +The first row contains: - +- `s_advices`: extension (nibbles `3`, `9`, and `5` compressed into bytes) +- `c_advices`: hash of S branch -There is bit of a difference in RLP stream when only one nibble appears. -In this case there is no byte specifying the length of the key extension -(130 in the above case). -For example, in the case below, the nibble is 0 (16 - 16): +The second row contains: -`226,16,160,172,105,12...` +- `s_advices`: the second nibble of each byte stored in the first row +- `c_advices`: hash of C branch -In this case special witnesses for nibbles are not needed. +In extension node, the intermediate `key_rlc` is computed by taking `key_rlc` and `key_rlc_mult` +(denoted by `key_rlc_prev` and `key_rlc_mult`) +from the parent element and adding the extension node bytes. +However, the calculation depends on: -#### Constraints +- How many nibbles have already been used in the branches / extension nodes above +- Whether there are even or odd nibbles in the extension. -##### Constraint: selectors +These different cases are the reason for a rather heavy branching in the `extension_node_key`. -There are six possible scenarios: +#### Even nibbles above, even nibbles in extension -- extension node key contains only one nibble and `modified_node` needs to be - multiplied by `16` for `key RLC` -- extension node key contains only one nibble and `modified_node` needs to be - multiplied by `1` for `key RLC` -- extension node key contains even number of nibbles and `modified_node` needs to be - multiplied by `16` for `key RLC` -- extension node key contains even number of nibbles and `modified_node` needs to be - multiplied by `1` for `key RLC` -- extension node key contains odd number of nibbles (and more than 1) and `modified_node` needs to be multiplied by `16` for `key RLC` -- extension node key contains odd number of nibbles (and more than 1) and `modified_node` needs to be multiplied by `1` for `key RLC` +Even nibbles in extension means no nibble will be stored at `s_advices[0]`. -Extension node RLP encoding needs to be differently handled in different scenarios. -For example, in the the case of only one nibble, there is only one RLP meta byte -(key starts already in `s_rlp2`). +``` +key_rlc = key_rlc_prev + s_advices[1] * key_rlc_mult + s_advices[2] * key_rlc_mult * r + ... +``` -Key RLC information is packed together with information about number of nibbles to -reduce the expression degree. +For the example above this would mean: -It needs to be ensured that the selectors are boolean and their sum is `0` or `1`. -If it is `0`, there is a regular branch. If it is `1`, there is an extension node. -See `extension_node.rs` for the constraints. +``` +key_rlc = key_rlc_prev + 149 * key_rlc_mult +``` -Further, there are constraints that ensure the selector -value is correct. For example, when there is only one nibble, `s_rlp1` has to be `226`. -Also, when there is an even number of nibbles, `s_advices[0]` has to be `0`. +#### Even nibbles above, odd nibbles in extension -Information about key RLC multiplication factor is doubled to reduce the expression degree. -Thus the information appear in branch init row at the following positions: +Odd nibbles in extension means one nibble will be stored at `s_advices[0]`. + +This is the case when the second nibbles witnesses are needed. For example: ``` -pub const IS_BRANCH_C16_POS: usize = 19; -pub const IS_BRANCH_C1_POS: usize = 20; -pub const IS_EXT_SHORT_C16_POS: usize = 21; -pub const IS_EXT_SHORT_C1_POS: usize = 22; -pub const IS_EXT_LONG_EVEN_C16_POS: usize = 23; -pub const IS_EXT_LONG_EVEN_C1_POS: usize = 24; -pub const IS_EXT_LONG_ODD_C16_POS: usize = 25; -pub const IS_EXT_LONG_ODD_C1_POS: usize = 26; +[228,130,16+3,9*16+5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +[0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] ``` -There are constraints (`extension_node.rs`) that ensure the information at positions -`IS_BRANCH_C16_POS` and `IS_BRANCH_C1_POS` correspond to the information at positions -where extension node selectors are given. +In the second row, 5 presents the second nibble of 149 (149 = 9 * 16 + 5). +Having the second nibble simplifies the computation of the first nibble (including both, first +and second nibbles, as witnesses is not possible as there is not enough space in `s_advices` for +cases where extension would be more than 32 nibbles). -##### Constraint: extension node RLC is properly computed +In this case, the intermediate `key_rlc` is computed: -Extension node RLC needs to be prperly computed for both, S and C. -This is done by taking into account each byte of the extension node. -The RLC is computed in two steps: the first -step computes bytes in `s_rlp1', 's_rlp2`, `s_advices` (stored in `acc_s` column), -the second step in `c_rlp1', 'c_rlp2`, `c_advices` (stored in `acc_c` column). +``` +key_rlc = key_rlc_prev + ((s_advices[0] - 16) * 16 + s_advices[1]_first_nibble) * key_rlc_mult + (s_advices[1]_second_nibble * 16 + s_advices[2]_first_nibble) * key_rlc_mult * r + ... +``` -First step: +For the example above: ``` -rlc_s = s_rlp1 + s_rlp2 * r + s_advices[0] * r^2 + s_advices[1] * r^3 + ... + s_advices[31] * r^33 +key_rlc = key_rlc_prev + (3 * 16 + 9) * key_rlc_mult + 5 * 16 * key_rlc_mult + r ``` -Constraint: +#### Odd nibbles above, even nibbles in extension + +Even nibbles in extension means no nibble will be stored at `s_advices[0]`. +The second nibbles witnesses are needed here: ``` -rlc_s = acc_s +key_rlc = key_rlc_prev + s_advices[1]_first_nibble * key_rlc_mult + (s_advices[1]_second_nibble * 16 + s_advices[2]_first_nibble) * key_rlc_mult * r + ... ``` -Second step: +For example: ``` -rlc = rlc_first + c_rlp1 * r_1 + c_rlp2 * r_1^2 + c_advices[0] * r_1^3 + c_advices[1] * r_1^4 + ... + c_advices[31] * r_1^34 +[228,130,0,9*16+5,8*16+4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +[0,0,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] ``` -Constraint: +``` +key_rlc = key_rlc_prev + 9 * key_rlc_mult + (5 * 16 + 8) * key_rlc_mult * r + 4 * 16 * key_rlc_mult * r^2 +``` + +#### Odd nibbles above, odd nibbles in extension + +Odd nibbles in extension means one nibble will be stored at `s_advices[0]`. We do not need the second +nibbles witnesses here: ``` -rlc = acc_c +key_rlc = key_rlc_prev + (s_advices[0] - 16) * key_rlc_mult + s_advices[1] * key_rlc_mult * r + s_advices[2] * key_rlc_mult * r^2 + ... ``` -Note that not all `s_advices` are always used. In the above example, there is only -`0, 149`. The rest of `s_advices` are 0s. To ensure `s_advices` are 0 for `i > 1`, -`key_len_lookup` function is used (see below for a more detailed description). +For example: -For S: -`lookup(S branch RLC (retrived from the last branch children row), S branch RLC length, c_advices RLC in extension row)`. +``` +[228,130,16+3,149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] +``` -For C extension node, the RLC from the first step from S extension node row is reused. -The second step is analogous to the S row, but uses the values from C row. +``` +key_rlc = key_rlc_prev + 3 * key_rlc_mult + 149 * key_rlc_mult * r +``` + +#### Only one nibble + +When there is only one nibble, there is no byte specifying the length of the key extension +(130 in the above cases). +For example, in the case below, the nibble is 0 (16 - 16): + +`226,16,160,172,105,12...` -##### Constraint: hash of the extension node is in the parent branch +In this case, the second nibble witnesses are not needed too. -It needs to be checked that the extension node RLC is `mod_node_hash_rlc` -in the parent branch. +There are two subcases. When there are even nibbles above: ``` -lookup(acc_c, extension node S length, s_mod_node_hash_rlc::(rot)) -lookup(acc_c, extension node C length, c_mod_node_hash_rlc::(rot-1)) +key_rlc = key_rlc_mult + (s_rlp2 - 16) * 16 * key_rlc_mult ``` -##### Constraint: hash of the underlying branch is in the extension node c_advices +And when there are odd nibbles above: -For S: -`lookup(S branch RLC (retrived from the last branch children row), S branch length, c_advices RLC in extension row)`. +``` +key_rlc = key_rlc_mult + (s_rlp2 - 16) * key_rlc_mult +``` + +### Selectors + +The following selectors are used to handle the computation of `key_rlc`. The following witnesses +are stored in branch init row: + +- `is_branch_c16`: whether the branch `modified_node` needs to be multiplied by 16 when computing `key_rlc` +- `is_branch_c1`: whether the branch `modified_node` needs to be multiplied by 1 when computing `key_rlc` +- `is_ext_short_c16`: whether the extension is of length 1 and the branch `modified_node` needs to be multiplied by 16 when computing `key_rlc` +- `is_ext_short_c1`: whether the extension is of length 1 and the branch `modified_node` needs to be multiplied by 1 when computing `key_rlc` +- `is_ext_long_even_c16`: whether the extension is of even length and the branch `modified_node` needs to be multiplied by 16 when computing `key_rlc` +- `is_ext_long_even_c1`: whether the extension is of even length and the branch `modified_node` needs to be multiplied by 1 when computing `key_rlc` +- `is_ext_long_odd_c16`: whether the extension is of odd length (and more than 1) and the branch `modified_node` needs to be multiplied by 16 when computing `key_rlc` +- `is_ext_long_odd_c1`: whether the extension is of odd length (and more than 1) and the branch `modified_node` needs to be multiplied by 1 when computing `key_rlc` + +Multiple bits of information are used to reduce the expression degree. + +It needs to be ensured that the selectors are boolean. Further, the sum of `ext` selectors +needs to be `0` or `1`. +If it is `0`, there is a regular branch. If it is `1`, there is an extension node. +See `extension_node.rs` for the constraints. + +Further, there are constraints that ensure the selector +value is correct. For example, when there is only one nibble, `s_rlp1` has to be `226`. +Also, when there is an even number of nibbles, `s_advices[0]` has to be `0`. + +There are constraints (`extension_node.rs`) that ensure the information at positions +`IS_BRANCH_C16_POS` and `IS_BRANCH_C1_POS` correspond to the information at positions +where extension node selectors are given. ## Account leaf From 916b501f0f1fd12ac5d9ff2cf3f6017deaa33632 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 20 Apr 2022 16:47:00 +0200 Subject: [PATCH 20/92] MPT: storage, account leaf --- specs/img/drifted_leaf.png | Bin 0 -> 141184 bytes specs/img/one_leaf.png | Bin 0 -> 103951 bytes specs/mpt-proof.md | 112 +++++++++++++++++++++++++++++++------ 3 files changed, 94 insertions(+), 18 deletions(-) create mode 100644 specs/img/drifted_leaf.png create mode 100644 specs/img/one_leaf.png diff --git a/specs/img/drifted_leaf.png b/specs/img/drifted_leaf.png new file mode 100644 index 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+Only one modification is allowed at a time, thus S proof and C proof differ in one +of the following: + +- Nonce +- Balance +- Storage trie root +- Codehash + +When `nonce`, `balance`, or `codehash` is modified, there is no storage proof and +no rows below account leaf. When `storage` is modified, it is ensured that there +is a storage proof (via `address_rlc` being changed only in one of storage +leaf rows; `address_rlc` is needed for lookup of the storage change). + ## Storage leaf There are five rows for a storage leaf: @@ -888,14 +899,15 @@ In this case S proof will be shorter than C proof. The layout would look like: ``` -Branch 1 | Branch 1 - | Branch 11 +Branch 0 | Branch 0 + | Branch 1 Leaf 1 | Leaf 2 ``` -`Leaf 1` is replaced by `Branch 11`. `Branch 11` contains two leaves: `Leaf 1` and `Leaf 2`. -However, `Leaf 1` has a shorter key now. To enable the verification that `Branch 11` contains -only two leaves and one of them is `Leaf 1` (with shorted key), the modified `Leaf 1` is stored +`Leaf 1` in `Branch0` is replaced by `Branch 1`. `Branch 1` contains two leaves: `Leaf 1` and `Leaf 2`. +However, `Leaf 1` has a shorter key now. To enable the verification that `Branch 1` +contains only two leaves and one of them is `Leaf 1` (with shorter key), +the modified `Leaf 1` is stored in the fifth storage leaf row (`Leaf in added branch`). It is ensured that the values in this row correspond to `Leaf 1`. @@ -903,21 +915,42 @@ in this row correspond to `Leaf 1`.

-In order not to break the layout, a placeholder branch is added in S +In order not to break the layout, a placeholder branch is added in the S proof. This way, the leaf S and leaf C are positioned one after another as in other cases (where the number of branches above the leaf S and leaf C is the same). To make it simpler, for the placeholder branch its paralell counterpart is used (when -S branch is a placeholder, C branch is used as a placeholder; when C branch is a placeholder, -S branch is used as a placeholder). +S branch is a placeholder, C branch values are used as a placeholder; when C branch is a placeholder, S branch values are used as a placeholder). -This way, the equalities between S and C branch still holds. +This way, the equalities between S and C branch still holds (constraints are +still fullfilled). On the other hand, the constraint for branch hash to be in a parent element is switched off. Instead, the hash of a leaf is checked to be in an element that is above the placeholder branch. -In case when there are two leaves in a branch and one of them is deleted, the scenario is -reversed: C proof contains placeholder branch. +

+ +

+ +Let us denote by `Leaf 11` the leaf `Leaf 1` after it drifted down into +`Branch 1`. + +There are some further equalities to be ensured. +For example, `Leaf 11 key_rlc` needs to be the same as `Leaf 1 key_rlc`. + +Note: `Leaf 1 key_rlc` is computed using nibbles in the branches above `Branch 0`, +using `modified_node` of `Branch 0`, and using the key stored in `Leaf 1`. +Once `Leaf 1` drifted into `Branch 1`, its `key_rlc` is computed using nibbles +above `Branch 1`, using `drifed_pos` in `Branch 1`, and using the key +stored in `Leaf 11`. +If `Branch 1` is extension node instead, the computation of `Leaf 11 key_rlc` +needs to take account also the extension nibbles. + +Further, `Leaf 11` hash needs to be checked to be the same as `Branch 1` child +at `drifted_mod` position. The only other non-empty child of `Branch 1` needs +to be `Leaf 2` hash at `modified_node` position. + +In case when there are two leaves in a branch and one of them is deleted, the scenario is reversed: C proof contains placeholder branch. #### Case 2: Key not used yet @@ -952,11 +985,54 @@ leaf. #### Case 3: Key in first level - leaf turns into branch / extension node +In case there is only one leaf in storage trie, there will be no branch. +When the second leaf is added, the branch or extension node appears. +Similarly as in the first case, a placeholder branch / extension node +is added. The difference is that the hash of the leaf in the S proof is +checked to be the S storage trie root stored in the account leaf rows. +The hash of the added branch / extension node is checked to be the C +storage trie root. All other constraits are the same as in the first case. +

-#### Case 4: Key in first level - key not used yet +#### Case 4: No key in first level + +When there is no value stored yet in the storage trie, a placeholder leaf +is inserted as in the second case. Here, instead of checking that the hash +of a (placeholder) leaf is the storage trie root stored in the account leaf +rows, it is checked that the storage trie root is hash of an empty trie. +Thus, placeholder leaf is used just to not break the circuit layout. + +In the C proof, the hash of a leaf (the first leaf that is added to the trie) +is checked to be the storage trie root. When the only leaf in the storage trie +is deleted, the scenario is reversed: the placeholder is in the C proof. + +

+ +

+ +## Proof chaining + +One S/C proof proves one modification. When two or more modifications are to be +proved to be correct, a chaining between proofs is needed. +That means we need to ensure: + +``` +current S state trie root = previous C state trie root +``` + +For this reason `not_first_level` selector is used which is set to 0 for the +first rows of the account proof. These are either the rows of the first +branch / extension node or the rows of the account leaf (if only one element +in the state trie). + +The constraints make sure: + +- `current S state trie root = previous C state trie root` in the first row of the first level +- `address_rlc` is set to 0 in the first row of the first level (in the account leaf it is set to the correct value, elsewhere it is not allowed to change) +- `counter` does not change except in the first row of the first level ## Lookups into MPT From 793bc020af573312e3f77318ce23632e8bb01268 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 1 Jun 2022 16:43:38 +0200 Subject: [PATCH 21/92] minor update --- specs/mpt-proof.md | 26 ++++++++++++++++++++++---- 1 file changed, 22 insertions(+), 4 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 24c033890..617c93fc5 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -716,18 +716,18 @@ Also, when there is an even number of nibbles, `s_advices[0]` has to be `0`. ## Account leaf -There are five rows for an account leaf: +There are seven rows for an account leaf: ``` Key S +Key C Nonce balance S Nonce balance C Storage codehash S Storage codehash C +Leaf in added branch ``` -There is only one key row, because the key is always the same for the two parallel proofs (TODO: support account creation, then the keys can be different). -

@@ -969,7 +969,7 @@ Branch 1 | Branch 1 Leaf 1 | Leaf 2 ``` -In this case, the leaf constraints are switched off for the placeholder leaf. +In case of a placeholder leaf, the leaf constraints are switched off for the placeholder leaf. Instead, it is checked that there is an empty row in branch at `modified_node` position.

@@ -1009,6 +1009,7 @@ In the C proof, the hash of a leaf (the first leaf that is added to the trie) is checked to be the storage trie root. When the only leaf in the storage trie is deleted, the scenario is reversed: the placeholder is in the C proof. +

@@ -1115,6 +1116,23 @@ However, this is prevented by ensuring each storage proof has a corresponding ac proof (by checking `address_rlc` starts with 0 value in the first level of the proof and can be changed only in `account leaf key` row). +### Account create lookup + +Because MPT circuit allows only one change at a time, there are three lookups (`nonce`, `balance`, +`codehash`) using the same `counter` needed for the account creation. + +``` +lookup(counter, address_rlc, nonce_prev, nonce_cur, is_nonce_mod) +lookup(counter, address_rlc, balance_prev, balance_cur, is_balance_mod) +lookup(counter, address_rlc, codehash_prev, codehash_cur, is_codehash_mod) +``` + +Default values are to be used for `nonce_prev, nonce_cur`, `balance_prev`, `balance_cur`, `codehash_prev`, `codehash_cur`. Note that `prev` values are not important, we do not need to prove the correct modification of the trie here, we just need a proof for an account with default values to exist in the trie. Thus, there are no constraints for `prev` values to be default values. + +Also, there are no constraints for `cur` values to be default values, because the +correct values are implied by lookups - the lookups (default values passed by arguments) +will fail if there are no correct values in the circuit. + ## Helper techniques ### Zeros in s_advices after substream ends From 49a36c6bc999c39616b1ad94a9ac9ab304f40b71 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 25 Jul 2022 14:15:14 +0200 Subject: [PATCH 22/92] key compact form description --- specs/mpt-proof.md | 18 +++++++++++++++--- 1 file changed, 15 insertions(+), 3 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 617c93fc5..96026f05d 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -67,18 +67,30 @@ length 64. Let's say we have a leaf: ``` -key = [10,6,3,5,7,0,1,2,12,1,10,3,10,14,0,10,1,7,13,3,0,4,12,9,9,2,0,3,1,0,3,8,2,13,9,6,8,14,11,12,12,4,11,1,7,7,1,15,4,1,12,6,11,3,0,4,2,0,5,11,5,7,0,16] +key_nibbles = [10,6,3,5,7,0,1,2,12,1,10,3,10,14,0,10,1,7,13,3,0,4,12,9,9,2,0,3,1,0,3,8,2,13,9,6,8,14,11,12,12,4,11,1,7,7,1,15,4,1,12,6,11,3,0,4,2,0,5,11,5,7,0,16] val = [2] ``` -In a proof, key is put in the -[compact form](https://github.com/ethereum/go-ethereum/blob/master/trie/hasher.go#L110) +Note that the last value (`16`) is a terminator byte. It means this presents a key of the leaf. +In case of an extension node key, there is no terminator byte. The terminator byte (if exists) +is not part of the proof (see below the format of a key in a proof). + +In a proof, the key is put in the +[compact form](https://github.com/ethereum/go-ethereum/blob/master/trie/encoding.go#L37) It becomes: ``` [58,99,87,1,44,26,58,224,161,125,48,76,153,32,49,3,130,217,104,235,204,75,23,113,244,28,107,48,66,5,181,112] ``` +Note that `58 = 48 + 10` where `48` is a fixed value used for compact form when there is an +odd number of key nibbles. Then it goes: +``` +99 = 6 * 16 + 3 +87 = 5 * 16 + 7 +... +``` + Then the leaf is [RLP encoded](https://github.com/ethereum/go-ethereum/blob/master/trie/hasher.go#L157) It becomes: From 7d0ab8c551881facd862b68d36fd85fd41ea3067 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 29 Jul 2022 16:44:40 +0200 Subject: [PATCH 23/92] started reworking MPT specs --- specs/mpt-proof.md | 103 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 103 insertions(+) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 96026f05d..ff35e2f6b 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -56,6 +56,109 @@ be in the first element at the proper position (depends on the key). The hash of the first storage proof element (storage root) needs to be checked to be in the account leaf of the last account proof element. +## New specs (temporary name) + +The columns are split into two categories. There are `2 * (2 + 32)` columns which contain RLP +streams returned by `getProof`. The other columns are selectors (for example which kind of +row we are at). + +The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 width. +The additional 2 bytes are for RLP specific bytes which store information like +how long is the substream. +The multiplier 2 is because we always have two parallel proofs: before and after modification. +Before modification proof is names `S` as state and `C` as change. + +The struct `MainCols` contain `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. +There is `MainCols` for `S` proof (named `s_main`) and +`MainCols` for `C` proof (named `c_main`). + +Let us observe a branch. It contains 16 children which are distributed in 16 rows. +We have branch `S` and branch `C`. + +Branch rows: +``` +Branch S child 0 | Branch C child 0 +... +Branch S child 15 | Branch C child 15 +``` + +The branch does not include raw children, it includes only a hash of each children (except +when a child is shorter than 32 bytes, in this case the raw child is included in a branch). + +Branch rows (you can see there are `2 * (2 + 32)` columns): +``` +0 160 hash(S child 0) | 0 160 hash(C child 0) +... +0 160 hash(S child 15) | 0 160 hash(C child 15) +``` + +The value 160 is RLP specific and it means that the following RLP string is of length +`32 = 160 - 128`. + +Branch can have some empty children, in this case the row looks like: +``` +0 0 128 0 ... 0 | 0 0 128 0 ... 0 +``` + +In case, there is a child of length smaller than 32, its corresponding branch row looks like: +``` +0 0 194 32 1 0 ... 0 | 0 0 194 32 1 0 ... 0 +``` + +The value 194 is RLP specific and it means that the following RLP list is of length +`2 = 194 - 192`. + +### Account leaf + +Let us observe the proof for the modification of account nonce. Let us assume there is only +one account stored in the trie. We change nonce for this account from 0 to 1. + +Account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, +our circuit will only have 8 rows. + +Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each +other. The rows are the following: + +``` +ACCOUNT_LEAF_KEY_S +ACCOUNT_LEAF_KEY_C +ACCOUNT_NON_EXISTING +ACCOUNT_LEAF_NONCE_BALANCE_S +ACCOUNT_LEAF_NONCE_BALANCE_C +ACCOUNT_LEAF_STORAGE_CODEHASH_S +ACCOUNT_LEAF_STORAGE_CODEHASH_C +ACCOUNT_DRIFTED_LEAF +``` + +The witness for our proof looks like (excluding selector columns): + +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` and `S` balance in +`c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. + +In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` and `C` balance in +`c_main`. We can see nonce in `C` proof is `1`. + + +## Old specs (will be replaced by new specs above) + We split the branch information into 16 rows (one row for each node). The proof looks like:

From 9393700345de3e0bf640c6ac3e971b85c5c0e05e Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 29 Jul 2022 16:49:39 +0200 Subject: [PATCH 24/92] fix --- specs/mpt-proof.md | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index ff35e2f6b..526eacb55 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -66,13 +66,13 @@ The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 wi The additional 2 bytes are for RLP specific bytes which store information like how long is the substream. The multiplier 2 is because we always have two parallel proofs: before and after modification. -Before modification proof is names `S` as state and `C` as change. +Before modification proof is named `S` as state and after modification is named `C` as change. -The struct `MainCols` contain `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. +The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. There is `MainCols` for `S` proof (named `s_main`) and `MainCols` for `C` proof (named `c_main`). -Let us observe a branch. It contains 16 children which are distributed in 16 rows. +Let us observe a branch. It contains 16 children which are distributed over 16 rows. We have branch `S` and branch `C`. Branch rows: @@ -87,9 +87,11 @@ when a child is shorter than 32 bytes, in this case the raw child is included in Branch rows (you can see there are `2 * (2 + 32)` columns): ``` -0 160 hash(S child 0) | 0 160 hash(C child 0) +s_main | c_main +rlp1 rlp2 bytes | rlp1 rlp2 bytes +0 160 hash(S child 0) | 0 160 hash(C child 0) ... -0 160 hash(S child 15) | 0 160 hash(C child 15) +0 160 hash(S child 15) | 0 160 hash(C child 15) ``` The value 160 is RLP specific and it means that the following RLP string is of length From 5962eb0dfa8f24cd6ca4638519833b91d365dc79 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 1 Aug 2022 16:20:53 +0200 Subject: [PATCH 25/92] minor update in MPT --- specs/mpt-proof.md | 21 ++++++++++++++++++--- 1 file changed, 18 insertions(+), 3 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 526eacb55..3e3213a44 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -112,10 +112,10 @@ The value 194 is RLP specific and it means that the following RLP list is of len ### Account leaf -Let us observe the proof for the modification of account nonce. Let us assume there is only -one account stored in the trie. We change nonce for this account from 0 to 1. +Let us observe the proof for the modification of the account nonce. Let us assume there is only +one account stored in the trie. We change the nonce for this account from 0 to 1. -Account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, +An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, our circuit will only have 8 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each @@ -158,6 +158,21 @@ In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` and In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` and `C` balance in `c_main`. We can see nonce in `C` proof is `1`. +The two main things the circuit needs to check are: + * Everything is the same in `S` and `C`, except the nonce value. + * The change occurs at the proper account address. + +However, there are many other things to be checked, for example the RLP encoding and RLC accumulators. +The RLC accumulators are used to compute the RLC of the whole node, in this particular case, the RLC of +the account leaf. As an account leaf is distributed over multiple rows, we need to compute the intermediate +RLC in each row. + +All chips in the MPT circuit use the first gate to check the RLP encoding and RLC. + +The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named +`Account leaf nonce balance RLC & RLP` are give below. + +### Bool check is_nonce_long ## Old specs (will be replaced by new specs above) From 08de8e2711dd136f47a951a1b2364bf6a300ae46 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 2 Aug 2022 16:47:34 +0200 Subject: [PATCH 26/92] account leaf nonce balance docs --- specs/mpt-proof.md | 123 +++++++++++++++++++++++++++++++++++++++++---- 1 file changed, 114 insertions(+), 9 deletions(-) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 3e3213a44..87abf33c8 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -1,8 +1,10 @@ # Merkle Patricia Trie (MPT) Proof +## New specs (temporary name) + MPT circuit checks that the modification of the trie state happened correctly. -Let's assume there are two proofs (as returned by `eth getProof`): +Let us assume there are two proofs (as returned by `eth getProof`): - A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. - A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. @@ -56,17 +58,23 @@ be in the first element at the proper position (depends on the key). The hash of the first storage proof element (storage root) needs to be checked to be in the account leaf of the last account proof element. -## New specs (temporary name) +## Two parallel proofs -The columns are split into two categories. There are `2 * (2 + 32)` columns which contain RLP +This section gives a bit of intuition why MPT circuit handles two parallel proofs at the +same time. Namely, there is `S` (as `State`) proof which presents the state of the trie +before the modification. And there is `C` (as `Change`) proof which presents the state +of the trie after modification. + +The columns are split into two categories (not to be mixed with two parallel proofs). +There are `2 * (2 + 32)` columns which contain RLP streams returned by `getProof`. The other columns are selectors (for example which kind of row we are at). The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 width. The additional 2 bytes are for RLP specific bytes which store information like how long is the substream. -The multiplier 2 is because we always have two parallel proofs: before and after modification. -Before modification proof is named `S` as state and after modification is named `C` as change. +Finally, the multiplier 2 is because we always have two parallel proofs: +before and after modification. The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. There is `MainCols` for `S` proof (named `s_main`) and @@ -110,7 +118,30 @@ In case, there is a child of length smaller than 32, its corresponding branch ro The value 194 is RLP specific and it means that the following RLP list is of length `2 = 194 - 192`. -### Account leaf +## Proof type + +MPT circuit supports the following proofs: + - Storage modification + - Nonce modification + - Balance modification + - Account delete + - Non existing account + +There is a struct `ProofTypeCols` that is to be used to specify the type of a proof: +``` +struct ProofTypeCols { + is_storage_mod: Column, + is_nonce_mod: Column, + is_balance_mod: Column, + is_account_delete_mod: Column, + is_non_existing_account_proof: Column, +} +``` + +The columns in the struct falls into selectors category (as opposed to `MainCols` columns). +`SelectorsChip` ensures there is exactly one type of proof selected. + +## Account leaf chip Let us observe the proof for the modification of the account nonce. Let us assume there is only one account stored in the trie. We change the nonce for this account from 0 to 1. @@ -167,12 +198,86 @@ The RLC accumulators are used to compute the RLC of the whole node, in this part the account leaf. As an account leaf is distributed over multiple rows, we need to compute the intermediate RLC in each row. -All chips in the MPT circuit use the first gate to check the RLP encoding and RLC. +All chips in the MPT circuit use the first gate to check the RLP encoding, +the computation of RLC, and selectors being of proper values (for example being +boolean). The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named -`Account leaf nonce balance RLC & RLP` are give below. +`Account leaf nonce balance RLC & RLP` are given below. + +### Bool check is_nonce_long & Bool check is_balance_long + +If nonce (same holds for balance) is smaller or equal to 128, then it will occupy only one byte: +`s_main.bytes[0]` (`c_main.bytes[0]` for balance). +We can see such case in the example above. The nonce there is 128 (meaning 0) before modification +and 1 (meaning 1) after modification. + +In case nonce (same for balance) is bigger than 128, it will occupy more than 1 byte. +The example row below shows nonce value 142, while 129 means there is a nonce of byte +length `1 = 129 - 128`. +Balance in the example row below is: `28 + 5 * 256 + 107 * 256^2 + ... + 59 * 256^6`, while +135 means there are `7 = 135 - 128` bytes. +``` +[rlp1 rlp2 bytes[0] bytes[1]] rlp1 rlp2 bytes[0] bytes[1] ... ] +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` + +The `sel1` column in the `ACCOUNT_LEAF_KEY_S` or `ACCOUNT_LEAF_KEY_C` row +is used to mark whether nonce is of 1 byte (short) or more than 1 byte (long). +`sel1 = 1` means long, `sel1 = 0` means short. +`Bool check is_nonce_long` constraint ensures the value is boolean. + +Analogously, `sel2` holds the information whether balance is long or short. +Bool check `is_balance_long` constraint ensures the `sel2` value is boolean. -### Bool check is_nonce_long +### s_main.bytes[i] = 0 for i > 0 when is_nonce_short + +It is important that there are 0s in `s_main.bytes` after the nonce bytes end. +When nonce is short (1 byte), like in `[184,70,1,0,...]`, the constraint is simple: +`s_main.bytes[i] = 0` for all `i > 0`. + +When nonce is long, the constraints need to be written differently because we do not +know the length of nonce in advance. +The row below holds nonce length specification in `s_main.bytes[0]`. +The length in the example below is `1 = 129 - 128`, +so the constraint needs to be `s_main.bytes[i] = 0` for +all `i > 1` (note that the actual value is in `s_main.bytes[1]`). + +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` + +But instead of 129 we could have 130 or some other value in `s_main.bytes[0]`. For this +reason, the constraints are implemented using `key_len_lookup`, more about this approach +in what follows. + +### c_main.bytes[i] = 0 for i > 0 when is_balance_short + +The balance constraints are analogous to the nonce constraints described above. +The difference is that balance is stored in `c_main.bytes`. + +### is_wrong_leaf is bool + +When `non_existing_account_proof` proof type (which can be of two subtypes: with wrong leaf +and without wrong leaf, more about it below), the `is_wrong_leaf` flag specifies whether +the subtype is with wrong leaf or not. +When `non_existing_account_proof` without wrong leaf +the proof contains only branches and a placeholder account leaf. +In this case, it is checked that there is nil in the parent branch +at the proper position (see `account_non_existing`). Note that we need (placeholder) account +leaf for lookups and to know when to check that parent branch has a nil. + +In `is_wrong_leaf is bool` we only check that `is_wrong_leaf` is a boolean values. +Other wrong leaf related constraints are in other gates. + +### Leaf nonce balance c_rlp1 + + ## Old specs (will be replaced by new specs above) From 4a7d0e8f090581a5b519624cf708bf6c04efbf89 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 3 Aug 2022 16:51:13 +0200 Subject: [PATCH 27/92] documenting account leaf nonce balance --- specs/mpt-proof.md | 115 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 115 insertions(+) diff --git a/specs/mpt-proof.md b/specs/mpt-proof.md index 87abf33c8..f7073f627 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt-proof.md @@ -270,8 +270,123 @@ leaf for lookups and to know when to check that parent branch has a nil. In `is_wrong_leaf is bool` we only check that `is_wrong_leaf` is a boolean values. Other wrong leaf related constraints are in other gates. +### is_wrong_leaf needs to be 0 when not in non_existing_account proof + +`is_wrong_leaf` can be set to 1 only when the proof is not non_existing_account proof. + ### Leaf nonce balance c_rlp1 +`c_main.rlp1` needs to always be 248. This is RLP byte meaning that behind this byte +there is a list which has one byte that specifies the length - `at c_main.rlp2`. + +The only exception is when `is_non_existing_account_proof = 1` & `is_wrong_leaf = 0`. +In this case the value does not matter as the account leaf is only a placeholder and +does not use `c_main`. Note that it uses `s_main` for nibbles because the account address +is computed using nibbles and this account address needs to be as required by a lookup. +That means there is an account leaf which is just a placeholder but it still has the +correct address. + +Example: +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` +248 at c_main.rlp1 means one byte for length. This byte is 76, meaning there are 76 bytes after it. + +### Nonce RLC long + +Besides having nonce (its bytes) stored in `s_main.bytes`, we also have the RLC +of nonce bytes stored in `s_mod_node_hash_rlc` column. The value in this column +is to be used by lookups. +`Nonce RLP long` constraint ensures the RLC of a nonce is computed properly when +nonce is long. + +### Nonce RLC short + +Similarly as in `Nonce RLP long` constraint, +`Nonce RLP short` constraint ensures the RLC of a nonce is computed properly when +nonce is short. + +### Balance RLC long + +Besides having balance (its bytes) stored in `c_main.bytes`, we also have the RLC +of nonce bytes stored in `c_mod_node_hash_rlc` column. The value in this column +is to be used by lookups. +`Balance RLP long` constraint ensures the RLC of a balance is computed properly when +balance is long. + +### Balance RLC short + +Similarly as in `Balance RLP long` constraint, +`Balance RLP short` constraint ensures the RLC of a balance is computed properly when +balance is short. + +### S nonce RLC is correctly copied to C row + +To enable lookup for nonce modification we need to have `S` nonce and `C` nonce +in the same row. For this reason, `S` nonce RLC is copied to `sel1` column in `C` row. +This constraint checks whether the value is properly copied. + +### S balance RLC is correctly copied to C row + +To enable lookup for balance modification we need to have `S` balance and `C` balance +in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. +This constraint checks whether the value is properly copied. + +### If storage or balance modification: S nonce = C nonce + +We need to ensure there is only one modification at a time. If there is storage or +balance modification, we need to ensure `S` nonce and `C` nonce are the same. + +### If storage or nonce modification: S balance = C balance + +We need to ensure there is only one modification at a time. If there is storage or +nonce modification, we need to ensure `S` balance and `C` balance are the same. + +### Leaf nonce acc mult (nonce long) + +When adding nonce bytes to the account leaf RLC we do: +`rlc_after_nonce = rlc_tmp + s_main.bytes[0] * mult_tmp + s_main.bytes[1] * mult_tmp * r + + ... + s_main.bytes[k] * mult_tmp * r^k` +Note that `rlc_tmp` means the RLC after the previous row, while `mult_tmp` means the multiplier +(power of randomness `r`) that needs to be used for the first byte in the current row. + +In this case we assumed there are `k + 1` nonce bytes. After this we continue adding bytes: +`rlc_after_nonce + b1 * mult_tmp * r^{k+1} + b2 * mult_tmp * r^{k+1} * r + ... +Note that `b1` and `b2` are the first two bytes that need to used next (balance bytes). + +The problem is `k` can be different from case to case. For this reason, we store `r^{k+1}` in +`mult_diff_nonce` (which is actually `acc_c`). +That means we can compute the expression above as: +`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... + +However, we need to ensure that `mult_diff_nonce` corresponds to `s_main.bytes[0]` where the length +of the nonce is specified. This is done using `key_len_lookup` below. + +There is one more detail: when computing RLC after nonce, we compute also the bytes that come before +nonce bytes in the row. These are: `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`. +It is a bit confusing (we are limited with layout), but `c_main.rlp1` and `c_main.rlp2` +are bytes that actually appear in the account leaf RLP stream before `s_main.bytes`. +So we have: +`rlc_after_nonce = rlc_tmp + s_main.rlp1 * mult_tmp + s_main.rlp2 * mult_tmp * r + + c_main.rlp1 * mult_tmp * r^2 + c_main.rlp2 * mult_tmp * r^3 + s_main.bytes[0] * mult_tmp * r^4 + ... + + s_main.bytes[k] * mult_tmp * r^4 * r^k` +That means `mult_diff_nonce` needs to store `r^4 * r^{k+1}` and we continue computing the RLC +as mentioned above: +`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... + +Let us observe the following example. +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +Here: +`rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5` +And we continue computing the RLC: +`rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... ` + +### Leaf nonce acc mult (nonce short) + +When nonce is short (occupying only one byte), we know in advance that `mult_diff_nonce = r^5` +as there are `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, and `s_main.bytes[0]` bytes to be taken into account. + +248 at c_main.rlp1 means one byte for length. This byte is 76, meaning there are 76 bytes after it. + +### Leaf nonce balance s_main.rlp2 - c_main.rlp2 + +`c_main.rlp2` specifies the length of the remaining RLP string. Note that the string +is `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, nonce bytes, balance bytes. +Thus, `c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. +`s_main.rlp2` - `c_main.rlp2` = 2 because of two bytes difference: `c_main.rlp1` and c_main.rlp2`. + +Example: +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` +We can see: `78 - 76 - 1 - 1 = 0`. + +### Lean nonce balance c_main.rlp2 + +`c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. +Note that `32 + 32` means the number of codehash bytes + the number of storage root bytes. + +### Account leaf RLP length + +The whole RLP length of the account leaf is specified in the account leaf key row with +`s_main.rlp1 = 248` and `s_main.rlp2`. `s_main.rlp2` in key row actually specifies the length. +`s_main.rlp2` in nonce balance row specifies the length of the remaining string in nonce balance +row, so we need to check that `s_main.rlp2` corresponds to the key length (in key row) and +`s_main.rlp2` in nonce balance row. However, we need to take into account also the bytes +where the lengths are stored: +`s_main.rlp2 (key row) - key_len - 1 (because key_len is stored in 1 byte) - s_main.rlp2 (nonce balance row) - 1 (because of s_main.rlp1) - 1 (because of s_main.rlp2) = 0` + +Example: +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +We can see: `106 - 33 - 1 - 70 - 1 - 1 = 0`. + +### mult_diff_nonce + +`mult_diff_nonce` needs to correspond to nonce length + 5 bytes: +`s_main.rlp1,` `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp1`, 1 for byte with nonce length (`s_main.bytes[0]`). +That means `mult_diff_nonce` needs to be `r^{nonce_len+5}` where `nonce_len = s_main.bytes[0] - 128`. + +Note that when nonce is short, `mult_diff_nonce` is not used (see the constraint above). + +### 0s after nonce ends + +Nonce RLC is computed over `s_main.bytes[1]`, ..., `s_main.bytes[31]` because we do not know +the nonce length in advance. To prevent changing the nonce and setting `s_main.bytes[i]` for +`i > nonce_len + 1` to get the correct nonce RLC, we need to ensure that +`s_main.bytes[i] = 0` for `i > nonce_len + 1`. + +### mult_diff_balance + +`mult_diff_balance` needs to correspond to balance length + 1 byte for byte that contains balance length. +That means `mult_diff_balance` needs to be `r^{balance_len+1}` where `balance_len = c_main.bytes[0] - 128`. + +Note that when balance is short, `mult_diff_balance` is not used (see the constraint above). + +### 0s after balance ends + +Balance RLC is computed over `c_main.bytes[1]`, ..., `c_main.bytes[31]` because we do not know +the balance length in advance. To prevent changing the balance and setting `c_main.bytes[i]` for +`i > balance_len + 1` to get the correct balance RLC, we need to ensure that +`c_main.bytes[i] = 0` for `i > balance_len + 1`. + +### Range lookups + +Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 - 255). ## Old specs (will be replaced by new specs above) From 8d2b7dfdd97990f884658f7e7347e32a049aba04 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 8 Aug 2022 16:34:24 +0200 Subject: [PATCH 29/92] MPT docs restructured; account_leaf_storage_codehash docs --- specs/mpt/account-leaf.md | 455 +++++++++++++++++ specs/{ => mpt}/img/address_key.png | Bin .../{ => mpt}/img/address_key_branch_rlc.png | Bin specs/{ => mpt}/img/address_rlc.png | Bin specs/{ => mpt}/img/branch.png | Bin specs/{ => mpt}/img/branch_diagram.png | Bin specs/{ => mpt}/img/branch_in_parent.png | Bin specs/{ => mpt}/img/branch_length.png | Bin specs/{ => mpt}/img/branch_rlc.png | Bin specs/{ => mpt}/img/branch_rlc_init.png | Bin specs/{ => mpt}/img/drifted_leaf.png | Bin specs/{ => mpt}/img/extension_in_parent.png | Bin specs/{ => mpt}/img/extension_node.png | Bin specs/{ => mpt}/img/extension_node_row.png | Bin specs/{ => mpt}/img/into_branch.png | Bin specs/{ => mpt}/img/into_extension.png | Bin specs/{ => mpt}/img/key_rlc.png | Bin specs/{ => mpt}/img/leaf.png | Bin specs/{ => mpt}/img/mod_node_hash_rlc.png | Bin specs/{ => mpt}/img/mpt.png | Bin specs/{ => mpt}/img/one_leaf.png | Bin specs/{ => mpt}/img/one_leaf_in_trie.png | Bin specs/{ => mpt}/img/placeholder_branch.png | Bin specs/{ => mpt}/img/proof.png | Bin specs/{ => mpt}/img/storage_leaf.png | Bin .../img/storage_leaf_placeholder.png | Bin specs/{mpt-proof.md => mpt/mpt-proof-old.md} | 481 ------------------ specs/mpt/mpt-proof.md | 146 ++++++ 28 files changed, 601 insertions(+), 481 deletions(-) create mode 100644 specs/mpt/account-leaf.md rename specs/{ => mpt}/img/address_key.png (100%) rename specs/{ => mpt}/img/address_key_branch_rlc.png (100%) rename specs/{ => mpt}/img/address_rlc.png (100%) rename specs/{ => mpt}/img/branch.png (100%) rename specs/{ => mpt}/img/branch_diagram.png (100%) rename specs/{ => mpt}/img/branch_in_parent.png (100%) rename specs/{ => mpt}/img/branch_length.png (100%) rename specs/{ => mpt}/img/branch_rlc.png (100%) rename specs/{ => mpt}/img/branch_rlc_init.png (100%) rename specs/{ => mpt}/img/drifted_leaf.png (100%) rename specs/{ => mpt}/img/extension_in_parent.png (100%) rename specs/{ => mpt}/img/extension_node.png (100%) rename specs/{ => mpt}/img/extension_node_row.png (100%) rename specs/{ => mpt}/img/into_branch.png (100%) rename specs/{ => mpt}/img/into_extension.png (100%) rename specs/{ => mpt}/img/key_rlc.png (100%) rename specs/{ => mpt}/img/leaf.png (100%) rename specs/{ => mpt}/img/mod_node_hash_rlc.png (100%) rename specs/{ => mpt}/img/mpt.png (100%) rename specs/{ => mpt}/img/one_leaf.png (100%) rename specs/{ => mpt}/img/one_leaf_in_trie.png (100%) rename specs/{ => mpt}/img/placeholder_branch.png (100%) rename specs/{ => mpt}/img/proof.png (100%) rename specs/{ => mpt}/img/storage_leaf.png (100%) rename specs/{ => mpt}/img/storage_leaf_placeholder.png (100%) rename specs/{mpt-proof.md => mpt/mpt-proof-old.md} (66%) create mode 100644 specs/mpt/mpt-proof.md diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md new file mode 100644 index 000000000..837afb959 --- /dev/null +++ b/specs/mpt/account-leaf.md @@ -0,0 +1,455 @@ +# Account leaf + +## Nonce balance constraints + +Let us observe the proof for the modification of the account nonce. Let us assume there is only +one account stored in the trie. We change the nonce for this account from 0 to 1. + +An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, +our circuit will only have 8 rows. + +Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each +other. The rows are the following: + +``` +ACCOUNT_LEAF_KEY_S +ACCOUNT_LEAF_KEY_C +ACCOUNT_NON_EXISTING +ACCOUNT_LEAF_NONCE_BALANCE_S +ACCOUNT_LEAF_NONCE_BALANCE_C +ACCOUNT_LEAF_STORAGE_CODEHASH_S +ACCOUNT_LEAF_STORAGE_CODEHASH_C +ACCOUNT_DRIFTED_LEAF +``` + +The witness for our proof looks like (excluding selector columns): + +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` and `S` balance in +`c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. + +In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` and `C` balance in +`c_main`. We can see nonce in `C` proof is `1`. + +The two main things the circuit needs to check are: + * Everything is the same in `S` and `C`, except the nonce value. + * The change occurs at the proper account address. + +However, there are many other things to be checked, for example the RLP encoding and RLC accumulators. +The RLC accumulators are used to compute the RLC of the whole node, in this particular case, the RLC of +the account leaf. As an account leaf is distributed over multiple rows, we need to compute the intermediate +RLC in each row. + +All chips in the MPT circuit use the first gate to check the RLP encoding, +the computation of RLC, and selectors being of proper values (for example being +boolean). + +The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named +`Account leaf nonce balance RLC & RLP` are given below. + +### Bool check is_nonce_long & Bool check is_balance_long + +If nonce (same holds for balance) is smaller or equal to 128, then it will occupy only one byte: +`s_main.bytes[0]` (`c_main.bytes[0]` for balance). +We can see such case in the example above. The nonce there is 128 (meaning 0) before modification +and 1 (meaning 1) after modification. + +In case nonce (same for balance) is bigger than 128, it will occupy more than 1 byte. +The example row below shows nonce value 142, while 129 means there is a nonce of byte +length `1 = 129 - 128`. +Balance in the example row below is: `28 + 5 * 256 + 107 * 256^2 + ... + 59 * 256^6`, while +135 means there are `7 = 135 - 128` bytes. +``` +[rlp1 rlp2 bytes[0] bytes[1]] rlp1 rlp2 bytes[0] bytes[1] ... ] +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` + +The `sel1` column in the `ACCOUNT_LEAF_KEY_S` or `ACCOUNT_LEAF_KEY_C` row +is used to mark whether nonce is of 1 byte (short) or more than 1 byte (long). +`sel1 = 1` means long, `sel1 = 0` means short. +`Bool check is_nonce_long` constraint ensures the value is boolean. + +Analogously, `sel2` holds the information whether balance is long or short. +Bool check `is_balance_long` constraint ensures the `sel2` value is boolean. + +### s_main.bytes[i] = 0 for i > 0 when is_nonce_short + +It is important that there are 0s in `s_main.bytes` after the nonce bytes end. +When nonce is short (1 byte), like in `[184,70,1,0,...]`, the constraint is simple: +`s_main.bytes[i] = 0` for all `i > 0`. + +When nonce is long, the constraints need to be written differently because we do not +know the length of nonce in advance. +The row below holds nonce length specification in `s_main.bytes[0]`. +The length in the example below is `1 = 129 - 128`, +so the constraint needs to be `s_main.bytes[i] = 0` for +all `i > 1` (note that the actual value is in `s_main.bytes[1]`). + +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` + +But instead of 129 we could have 130 or some other value in `s_main.bytes[0]`. For this +reason, the constraints are implemented using `key_len_lookup`, more about this approach +in what follows. + +### c_main.bytes[i] = 0 for i > 0 when is_balance_short + +The balance constraints are analogous to the nonce constraints described above. +The difference is that balance is stored in `c_main.bytes`. + +### is_wrong_leaf is bool + +When `non_existing_account_proof` proof type (which can be of two subtypes: with wrong leaf +and without wrong leaf, more about it below), the `is_wrong_leaf` flag specifies whether +the subtype is with wrong leaf or not. +When `non_existing_account_proof` without wrong leaf +the proof contains only branches and a placeholder account leaf. +In this case, it is checked that there is nil in the parent branch +at the proper position (see `account_non_existing`). Note that we need (placeholder) account +leaf for lookups and to know when to check that parent branch has a nil. + +In `is_wrong_leaf is bool` we only check that `is_wrong_leaf` is a boolean values. +Other wrong leaf related constraints are in other gates. + +### is_wrong_leaf needs to be 0 when not in non_existing_account proof + +`is_wrong_leaf` can be set to 1 only when the proof is not non_existing_account proof. + +### Nonce RLC long + +Besides having nonce (its bytes) stored in `s_main.bytes`, we also have the RLC +of nonce bytes stored in `s_mod_node_hash_rlc` column. The value in this column +is to be used by lookups. +`Nonce RLP long` constraint ensures the RLC of a nonce is computed properly when +nonce is long. + +### Nonce RLC short + +Similarly as in `Nonce RLP long` constraint, +`Nonce RLP short` constraint ensures the RLC of a nonce is computed properly when +nonce is short. + +### Balance RLC long + +Besides having balance (its bytes) stored in `c_main.bytes`, we also have the RLC +of nonce bytes stored in `c_mod_node_hash_rlc` column. The value in this column +is to be used by lookups. +`Balance RLP long` constraint ensures the RLC of a balance is computed properly when +balance is long. + +### Balance RLC short + +Similarly as in `Balance RLP long` constraint, +`Balance RLP short` constraint ensures the RLC of a balance is computed properly when +balance is short. + +### S nonce RLC is correctly copied to C row + +To enable lookup for nonce modification we need to have `S` nonce and `C` nonce +in the same row. For this reason, `S` nonce RLC is copied to `sel1` column in `C` row. +This constraint checks whether the value is properly copied. + +### S balance RLC is correctly copied to C row + +To enable lookup for balance modification we need to have `S` balance and `C` balance +in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. +This constraint checks whether the value is properly copied. + +### If storage or balance modification: S nonce = C nonce + +We need to ensure there is only one modification at a time. If there is storage or +balance modification, we need to ensure `S` nonce and `C` nonce are the same. + +### If storage or nonce modification: S balance = C balance + +We need to ensure there is only one modification at a time. If there is storage or +nonce modification, we need to ensure `S` balance and `C` balance are the same. + +### Leaf nonce acc mult (nonce long) + +When adding nonce bytes to the account leaf RLC we do: +`rlc_after_nonce = rlc_tmp + s_main.bytes[0] * mult_tmp + s_main.bytes[1] * mult_tmp * r + ... + s_main.bytes[k] * mult_tmp * r^k` +Note that `rlc_tmp` means the RLC after the previous row, while `mult_tmp` means the multiplier +(power of randomness `r`) that needs to be used for the first byte in the current row. + +In this case we assumed there are `k + 1` nonce bytes. After this we continue adding bytes: +`rlc_after_nonce + b1 * mult_tmp * r^{k+1} + b2 * mult_tmp * r^{k+1} * r + ... +Note that `b1` and `b2` are the first two bytes that need to used next (balance bytes). + +The problem is `k` can be different from case to case. For this reason, we store `r^{k+1}` in +`mult_diff_nonce` (which is actually `acc_c`). +That means we can compute the expression above as: +`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... + +However, we need to ensure that `mult_diff_nonce` corresponds to `s_main.bytes[0]` where the length +of the nonce is specified. This is done using `key_len_lookup` below. + +There is one more detail: when computing RLC after nonce, we compute also the bytes that come before +nonce bytes in the row. These are: `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`. +It is a bit confusing (we are limited with layout), but `c_main.rlp1` and `c_main.rlp2` +are bytes that actually appear in the account leaf RLP stream before `s_main.bytes`. +So we have: +`rlc_after_nonce = rlc_tmp + s_main.rlp1 * mult_tmp + s_main.rlp2 * mult_tmp * r + c_main.rlp1 * mult_tmp * r^2 + c_main.rlp2 * mult_tmp * r^3 + s_main.bytes[0] * mult_tmp * r^4 + ... + s_main.bytes[k] * mult_tmp * r^4 * r^k` +That means `mult_diff_nonce` needs to store `r^4 * r^{k+1}` and we continue computing the RLC +as mentioned above: +`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... + +Let us observe the following example. +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +Here: +`rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5` +And we continue computing the RLC: +`rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... ` + +### Leaf nonce acc mult (nonce short) + +When nonce is short (occupying only one byte), we know in advance that `mult_diff_nonce = r^5` +as there are `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, and `s_main.bytes[0]` bytes to be taken into account. + +### Leaf balance acc mult (balance long) + +We need to prepare the multiplier that will be needed in the next row: `acc_mult_final`. +We have the multiplier after nonce bytes were added to the RLC: `acc_mult_after_nonce`. +Now, `acc_mult_final` depends on the number of balance bytes. +`rlc_after_balance = rlc_after_nonce + b1 * acc_mult_after_nonce + ... + bl * acc_mult_after_nonce * r^{l-1}` +Where `b1,...,bl` are `l` balance bytes. As with nonce, we do not know the length of balance bytes +in advance. For this reason, we store `r^l` in `mult_diff_balance` and check whether: +`acc_mult_final = acc_mult_after_nonce * mult_diff_balance`. +Note that `mult_diff_balance` is not the last multiplier in this row, but the first in +the next row (this is why there is `r^l` instead of `r^{l-1}`). + +### Leaf balance acc mult (balance short) + +When balance is short, there is only one balance byte and we know in advance that the +multiplier changes only by factor `r`. + +### Leaf nonce balance s_main.rlp1 = 184 + +`s_main.rlp1` needs always be 184. This is RLP byte meaning that behind this byte +there is a string of length more than 55 bytes and that only `1 = 184 - 183` byte is reserved +for length (`s_main.rlp2`). The string is always of length greater than 55 because there +are codehash (32 bytes) and storage root (32 bytes) in the next row as part of this string. + +The only exception is when `is_non_existing_account_proof = 1` & `is_wrong_leaf = 0`. +In this case the value does not matter as the account leaf is only a placeholder and +does not use `s_main.rlp1` and `s_main.rlp2`. Note that it uses `s_main` for nibbles +because the account address is computed using nibbles and this account address needs +to be as required by a lookup. + +### Leaf nonce balance c_main.rlp1 = 248 + +`c_main.rlp1` needs to always be 248. This is RLP byte meaning that behind this byte +there is a list which has one byte that specifies the length - `at c_main.rlp2`. + +The only exception is when `is_non_existing_account_proof = 1` & `is_wrong_leaf = 0`. +In this case the value does not matter as the account leaf is only a placeholder and +does not use `c_main`. Note that it uses `s_main` for nibbles because the account address +is computed using nibbles and this account address needs to be as required by a lookup. +That means there is an account leaf which is just a placeholder but it still has the +correct address. + +Example: +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` +248 at c_main.rlp1 means one byte for length. This byte is 76, meaning there are 76 bytes after it. + +### Leaf nonce balance s_main.rlp2 - c_main.rlp2 + +`c_main.rlp2` specifies the length of the remaining RLP string. Note that the string +is `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, nonce bytes, balance bytes. +Thus, `c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. +`s_main.rlp2` - `c_main.rlp2` = 2 because of two bytes difference: `c_main.rlp1` and c_main.rlp2`. + +Example: +``` +[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` +We can see: `78 - 76 - 1 - 1 = 0`. + +### Lean nonce balance c_main.rlp2 + +`c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. +Note that `32 + 32` means the number of codehash bytes + the number of storage root bytes. + +### Account leaf RLP length + +The whole RLP length of the account leaf is specified in the account leaf key row with +`s_main.rlp1 = 248` and `s_main.rlp2`. `s_main.rlp2` in key row actually specifies the length. +`s_main.rlp2` in nonce balance row specifies the length of the remaining string in nonce balance +row, so we need to check that `s_main.rlp2` corresponds to the key length (in key row) and +`s_main.rlp2` in nonce balance row. However, we need to take into account also the bytes +where the lengths are stored: +`s_main.rlp2 (key row) - key_len - 1 (because key_len is stored in 1 byte) - s_main.rlp2 (nonce balance row) - 1 (because of s_main.rlp1) - 1 (because of s_main.rlp2) = 0` + +Example: +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` +We can see: `106 - 33 - 1 - 70 - 1 - 1 = 0`. + +### mult_diff_nonce + +`mult_diff_nonce` needs to correspond to nonce length + 5 bytes: +`s_main.rlp1,` `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp1`, 1 for byte with nonce length (`s_main.bytes[0]`). +That means `mult_diff_nonce` needs to be `r^{nonce_len+5}` where `nonce_len = s_main.bytes[0] - 128`. + +Note that when nonce is short, `mult_diff_nonce` is not used (see the constraint above). + +### 0s after nonce ends + +Nonce RLC is computed over `s_main.bytes[1]`, ..., `s_main.bytes[31]` because we do not know +the nonce length in advance. To prevent changing the nonce and setting `s_main.bytes[i]` for +`i > nonce_len + 1` to get the correct nonce RLC, we need to ensure that +`s_main.bytes[i] = 0` for `i > nonce_len + 1`. + +### mult_diff_balance + +`mult_diff_balance` needs to correspond to balance length + 1 byte for byte that contains balance length. +That means `mult_diff_balance` needs to be `r^{balance_len+1}` where `balance_len = c_main.bytes[0] - 128`. + +Note that when balance is short, `mult_diff_balance` is not used (see the constraint above). + +### 0s after balance ends + +Balance RLC is computed over `c_main.bytes[1]`, ..., `c_main.bytes[31]` because we do not know +the balance length in advance. To prevent changing the balance and setting `c_main.bytes[i]` for +`i > balance_len + 1` to get the correct balance RLC, we need to ensure that +`c_main.bytes[i] = 0` for `i > balance_len + 1`. + +### Range lookups + +Range lookups ensure that `s_main` and `c_main` columns are all bytes (0 - 255). + +## Storage codehash constraints + +The constraints in `account_leaf_storage_codehash.rs` apply to ACCOUNT_LEAF_STORAGE_CODEHASH_S and +ACCOUNT_LEAF_STORAGE_CODEHASH_C rows. + +For example, the two rows might be: +``` +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +``` + +Here, in `ACCOUNT_LEAF_STORAGE_CODEHASH_S` example row, there is `S` storage root stored in `s_main.bytes` +and `S` codehash in `c_main.bytes`. Both these values are hash outputs. +We can see `s_main.rlp2 = 160` which specifies that the length of the following string is `32 = 160 - 128` +(which is hash output). Similarly, `c_main.rlp2 = 160`. + +In `ACCOUNT_LEAF_STORAGE_CODEHASH_C` example row, there is `C` storage root stored in `s_main.bytes` +and `C` codehash in `c_main.bytes`. Both these values are hash outputs. + +### Account leaf storage codehash s_main.rlp2 = 160 + +`s_main.rlp2` stores the RLP length of the hash of storage root. The hash output length is 32 +and thus `s_main.rlp2` needs to be `160 = 128 + 32`. + +### Account leaf storage codehash c_main.rlp2 = 160 + +`c_main.rlp2` stores the RLP length of the codehash. The hash output length is 32 +and thus `c_main.rlp2` needs to be `160 = 128 + 32`. + +### Storage root RLC + +`s_main.bytes` contain storage root hash, but to simplify lookups we need to have +the RLC of storage root hash stored in some column too. The RLC is stored in +`s_mod_node_hash_rlc`. We need to ensure that this value corresponds to the RLC +of `s_main.bytes`. + +### Codehash RLC + +`c_main.bytes` contain codehash, but to simplify lookups we need to have +the RLC of the codehash stored in some column too. The RLC is stored in +`c_mod_node_hash_rlc`. We need to ensure that this value corresponds to the RLC +of `c_main.bytes`. + +### S storage root RLC is correctly copied to C row + +To enable lookup for storage root modification we need to have S storage root +and C storage root in the same row. +For this reason, S storage root RLC is copied to `sel1` column in C row. + +Note: we do not need such constraint for codehash as the codehash never changes. + +### If nonce / balance: storage_root_s = storage_root_c + +If the modification is nonce or balance modification, the storage root needs to +stay the same. + +Note: `is_non_existing_account_proof` uses only `S` proof. + +### If nonce / balance / storage mod: codehash_s = codehash_c + +If the modification is nonce or balance or storage modification (that means +always except for `is_account_delete_mod` and `is_non_existing_account_proof`), +the storage root needs to stay the same. + +Note: `is_non_existing_account_proof` uses only `S` proof. + +### Account leaf storage codehash RLC + +The RLC of the account leaf needs to be properly computed. We take the intermediate RLC +computed in the `ACCOUNT_LEAF_NONCE_BALANCE_*` row and add the bytes from the current row. +The computed RLC needs to be the same as the stored value in `acc_s` row. + + +### Account first level leaf without branch - compared to state root + +Check hash of an account leaf to be state root when the leaf is without a branch (the leaf +is in the first level). + +Note: the constraints for the first level branch to be compared to the state root +are in `branch_hash_in_parent`. + +### Hash of an account leaf in a branch + +Hash of an account leaf needs to appear (when not in first level) at the proper position in the +parent branch. + +Note: the placeholder leaf appears when a new account is created (in this case there was +no leaf before and we add a placeholder). There are no constraints for +a placeholder leaf, it is added only to maintain the parallel layout. + +### Hash of an account leaf when branch placeholder + +When there is a placeholder branch above the account leaf (it means the account leaf +drifted into newly added branch, this branch did not exist in `S` proof), the hash of the leaf +needs to be checked to be at the proper position in the branch above the placeholder branch. + +Note: a placeholder leaf cannot appear when there is a branch placeholder +(a placeholder leaf appears when there is no leaf at certain position, while branch placeholder +appears when there is a leaf and it drifts down into a newly added branch). + +### Hash of an account leaf compared to root when branch placeholder in the first level + +When there is a placeholder branch above the account leaf (it means the account leaf +drifted into newly added branch, this branch did not exist in `s` proof) in the first level, +the hash of the leaf needs to be checked to be the state root. + +### Range lookups + +Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 - 255). + +Note: `s_main.rlp1` and `c_main.rlp1` are not used. + + diff --git a/specs/img/address_key.png b/specs/mpt/img/address_key.png similarity index 100% rename from specs/img/address_key.png rename to specs/mpt/img/address_key.png diff --git a/specs/img/address_key_branch_rlc.png b/specs/mpt/img/address_key_branch_rlc.png similarity index 100% rename from specs/img/address_key_branch_rlc.png rename to specs/mpt/img/address_key_branch_rlc.png diff --git a/specs/img/address_rlc.png b/specs/mpt/img/address_rlc.png similarity index 100% rename from specs/img/address_rlc.png rename to specs/mpt/img/address_rlc.png diff --git a/specs/img/branch.png b/specs/mpt/img/branch.png similarity index 100% rename from specs/img/branch.png rename to specs/mpt/img/branch.png diff --git a/specs/img/branch_diagram.png b/specs/mpt/img/branch_diagram.png similarity index 100% rename from specs/img/branch_diagram.png rename to specs/mpt/img/branch_diagram.png diff --git a/specs/img/branch_in_parent.png b/specs/mpt/img/branch_in_parent.png similarity index 100% rename from specs/img/branch_in_parent.png rename to specs/mpt/img/branch_in_parent.png diff --git a/specs/img/branch_length.png b/specs/mpt/img/branch_length.png similarity index 100% rename from specs/img/branch_length.png rename to specs/mpt/img/branch_length.png diff --git a/specs/img/branch_rlc.png b/specs/mpt/img/branch_rlc.png similarity index 100% rename from specs/img/branch_rlc.png rename to specs/mpt/img/branch_rlc.png diff --git a/specs/img/branch_rlc_init.png b/specs/mpt/img/branch_rlc_init.png similarity index 100% rename from specs/img/branch_rlc_init.png rename to specs/mpt/img/branch_rlc_init.png diff --git a/specs/img/drifted_leaf.png b/specs/mpt/img/drifted_leaf.png similarity index 100% rename from specs/img/drifted_leaf.png rename to specs/mpt/img/drifted_leaf.png diff --git a/specs/img/extension_in_parent.png b/specs/mpt/img/extension_in_parent.png similarity index 100% rename from specs/img/extension_in_parent.png rename to specs/mpt/img/extension_in_parent.png diff --git a/specs/img/extension_node.png b/specs/mpt/img/extension_node.png similarity index 100% rename from specs/img/extension_node.png rename to specs/mpt/img/extension_node.png diff --git a/specs/img/extension_node_row.png b/specs/mpt/img/extension_node_row.png similarity index 100% rename from specs/img/extension_node_row.png rename to specs/mpt/img/extension_node_row.png diff --git a/specs/img/into_branch.png b/specs/mpt/img/into_branch.png similarity index 100% rename from specs/img/into_branch.png rename to specs/mpt/img/into_branch.png diff --git a/specs/img/into_extension.png b/specs/mpt/img/into_extension.png similarity index 100% rename from specs/img/into_extension.png rename to specs/mpt/img/into_extension.png diff --git a/specs/img/key_rlc.png b/specs/mpt/img/key_rlc.png similarity index 100% rename from specs/img/key_rlc.png rename to specs/mpt/img/key_rlc.png diff --git a/specs/img/leaf.png b/specs/mpt/img/leaf.png similarity index 100% rename from specs/img/leaf.png rename to specs/mpt/img/leaf.png diff --git a/specs/img/mod_node_hash_rlc.png b/specs/mpt/img/mod_node_hash_rlc.png similarity index 100% rename from specs/img/mod_node_hash_rlc.png rename to specs/mpt/img/mod_node_hash_rlc.png diff --git a/specs/img/mpt.png b/specs/mpt/img/mpt.png similarity index 100% rename from specs/img/mpt.png rename to specs/mpt/img/mpt.png diff --git a/specs/img/one_leaf.png b/specs/mpt/img/one_leaf.png similarity index 100% rename from specs/img/one_leaf.png rename to specs/mpt/img/one_leaf.png diff --git a/specs/img/one_leaf_in_trie.png b/specs/mpt/img/one_leaf_in_trie.png similarity index 100% rename from specs/img/one_leaf_in_trie.png rename to specs/mpt/img/one_leaf_in_trie.png diff --git a/specs/img/placeholder_branch.png b/specs/mpt/img/placeholder_branch.png similarity index 100% rename from specs/img/placeholder_branch.png rename to specs/mpt/img/placeholder_branch.png diff --git a/specs/img/proof.png b/specs/mpt/img/proof.png similarity index 100% rename from specs/img/proof.png rename to specs/mpt/img/proof.png diff --git a/specs/img/storage_leaf.png b/specs/mpt/img/storage_leaf.png similarity index 100% rename from specs/img/storage_leaf.png rename to specs/mpt/img/storage_leaf.png diff --git a/specs/img/storage_leaf_placeholder.png b/specs/mpt/img/storage_leaf_placeholder.png similarity index 100% rename from specs/img/storage_leaf_placeholder.png rename to specs/mpt/img/storage_leaf_placeholder.png diff --git a/specs/mpt-proof.md b/specs/mpt/mpt-proof-old.md similarity index 66% rename from specs/mpt-proof.md rename to specs/mpt/mpt-proof-old.md index 0dd49a51c..42e925921 100644 --- a/specs/mpt-proof.md +++ b/specs/mpt/mpt-proof-old.md @@ -1,486 +1,5 @@ # Merkle Patricia Trie (MPT) Proof -## New specs (temporary name) - -MPT circuit checks that the modification of the trie state happened correctly. - -Let us assume there are two proofs (as returned by `eth getProof`): - -- A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. -- A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. - -The circuit checks the transition from `val1` to `val2` at `key1` that led to the change -of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). - -The proof returned by `eth getProof` looks like: - -``` -{ - "id": 1, - "jsonrpc": "2.0", - "result": { - "accountProof": [ - "0xf90211a...0701bc80", - "0xf90211a...0d832380", - "0xf90211a...5fb20c80", - "0xf90211a...0675b80", - "0xf90151a0...ca08080" - ], - "balance": "0x0", - "codeHash": "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", - "nonce": "0x0", - "storageHash": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", - "storageProof": [ - { - "key": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", - "proof": [ - "0xf90211a...0701bc80", - "0xf90211a...0d832380" - ], - "value": "0x1" - } - ] - } -} -``` - -In the above case account proof contains five elements. -The first four are branches / extension nodes, the last one is account leaf. -The hash of the account leaf is checked to -be in the fourth element (at the proper position - depends on the account address). -The hash of the fourth element is checked to be in the third element (at the proper position) ... - -The storage proof in the above case contains two elements. -The first one is branch or extension node, the second element is storage leaf. -The hash of storage leaf is checked to -be in the first element at the proper position (depends on the key). - -The hash of the first storage proof element (storage root) needs to be checked -to be in the account leaf of the last account proof element. - -## Two parallel proofs - -This section gives a bit of intuition why MPT circuit handles two parallel proofs at the -same time. Namely, there is `S` (as `State`) proof which presents the state of the trie -before the modification. And there is `C` (as `Change`) proof which presents the state -of the trie after modification. - -The columns are split into two categories (not to be mixed with two parallel proofs). -There are `2 * (2 + 32)` columns which contain RLP -streams returned by `getProof`. The other columns are selectors (for example which kind of -row we are at). - -The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 width. -The additional 2 bytes are for RLP specific bytes which store information like -how long is the substream. -Finally, the multiplier 2 is because we always have two parallel proofs: -before and after modification. - -The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. -There is `MainCols` for `S` proof (named `s_main`) and -`MainCols` for `C` proof (named `c_main`). - -Let us observe a branch. It contains 16 children which are distributed over 16 rows. -We have branch `S` and branch `C`. - -Branch rows: -``` -Branch S child 0 | Branch C child 0 -... -Branch S child 15 | Branch C child 15 -``` - -The branch does not include raw children, it includes only a hash of each children (except -when a child is shorter than 32 bytes, in this case the raw child is included in a branch). - -Branch rows (you can see there are `2 * (2 + 32)` columns): -``` -s_main | c_main -rlp1 rlp2 bytes | rlp1 rlp2 bytes -0 160 hash(S child 0) | 0 160 hash(C child 0) -... -0 160 hash(S child 15) | 0 160 hash(C child 15) -``` - -The value 160 is RLP specific and it means that the following RLP string is of length -`32 = 160 - 128`. - -Branch can have some empty children, in this case the row looks like: -``` -0 0 128 0 ... 0 | 0 0 128 0 ... 0 -``` - -In case, there is a child of length smaller than 32, its corresponding branch row looks like: -``` -0 0 194 32 1 0 ... 0 | 0 0 194 32 1 0 ... 0 -``` - -The value 194 is RLP specific and it means that the following RLP list is of length -`2 = 194 - 192`. - -## Proof type - -MPT circuit supports the following proofs: - - Storage modification - - Nonce modification - - Balance modification - - Account delete - - Non existing account - -There is a struct `ProofTypeCols` that is to be used to specify the type of a proof: -``` -struct ProofTypeCols { - is_storage_mod: Column, - is_nonce_mod: Column, - is_balance_mod: Column, - is_account_delete_mod: Column, - is_non_existing_account_proof: Column, -} -``` - -The columns in the struct falls into selectors category (as opposed to `MainCols` columns). -`SelectorsChip` ensures there is exactly one type of proof selected. - -## Account leaf chip - -Let us observe the proof for the modification of the account nonce. Let us assume there is only -one account stored in the trie. We change the nonce for this account from 0 to 1. - -An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, -our circuit will only have 8 rows. - -Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each -other. The rows are the following: - -``` -ACCOUNT_LEAF_KEY_S -ACCOUNT_LEAF_KEY_C -ACCOUNT_NON_EXISTING -ACCOUNT_LEAF_NONCE_BALANCE_S -ACCOUNT_LEAF_NONCE_BALANCE_C -ACCOUNT_LEAF_STORAGE_CODEHASH_S -ACCOUNT_LEAF_STORAGE_CODEHASH_C -ACCOUNT_DRIFTED_LEAF -``` - -The witness for our proof looks like (excluding selector columns): - -``` -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] - -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] - -[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -``` - -In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` and `S` balance in -`c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. - -In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` and `C` balance in -`c_main`. We can see nonce in `C` proof is `1`. - -The two main things the circuit needs to check are: - * Everything is the same in `S` and `C`, except the nonce value. - * The change occurs at the proper account address. - -However, there are many other things to be checked, for example the RLP encoding and RLC accumulators. -The RLC accumulators are used to compute the RLC of the whole node, in this particular case, the RLC of -the account leaf. As an account leaf is distributed over multiple rows, we need to compute the intermediate -RLC in each row. - -All chips in the MPT circuit use the first gate to check the RLP encoding, -the computation of RLC, and selectors being of proper values (for example being -boolean). - -The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named -`Account leaf nonce balance RLC & RLP` are given below. - -### Bool check is_nonce_long & Bool check is_balance_long - -If nonce (same holds for balance) is smaller or equal to 128, then it will occupy only one byte: -`s_main.bytes[0]` (`c_main.bytes[0]` for balance). -We can see such case in the example above. The nonce there is 128 (meaning 0) before modification -and 1 (meaning 1) after modification. - -In case nonce (same for balance) is bigger than 128, it will occupy more than 1 byte. -The example row below shows nonce value 142, while 129 means there is a nonce of byte -length `1 = 129 - 128`. -Balance in the example row below is: `28 + 5 * 256 + 107 * 256^2 + ... + 59 * 256^6`, while -135 means there are `7 = 135 - 128` bytes. -``` -[rlp1 rlp2 bytes[0] bytes[1]] rlp1 rlp2 bytes[0] bytes[1] ... ] -[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] -``` - -The `sel1` column in the `ACCOUNT_LEAF_KEY_S` or `ACCOUNT_LEAF_KEY_C` row -is used to mark whether nonce is of 1 byte (short) or more than 1 byte (long). -`sel1 = 1` means long, `sel1 = 0` means short. -`Bool check is_nonce_long` constraint ensures the value is boolean. - -Analogously, `sel2` holds the information whether balance is long or short. -Bool check `is_balance_long` constraint ensures the `sel2` value is boolean. - -### s_main.bytes[i] = 0 for i > 0 when is_nonce_short - -It is important that there are 0s in `s_main.bytes` after the nonce bytes end. -When nonce is short (1 byte), like in `[184,70,1,0,...]`, the constraint is simple: -`s_main.bytes[i] = 0` for all `i > 0`. - -When nonce is long, the constraints need to be written differently because we do not -know the length of nonce in advance. -The row below holds nonce length specification in `s_main.bytes[0]`. -The length in the example below is `1 = 129 - 128`, -so the constraint needs to be `s_main.bytes[i] = 0` for -all `i > 1` (note that the actual value is in `s_main.bytes[1]`). - -``` -[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] -``` - -But instead of 129 we could have 130 or some other value in `s_main.bytes[0]`. For this -reason, the constraints are implemented using `key_len_lookup`, more about this approach -in what follows. - -### c_main.bytes[i] = 0 for i > 0 when is_balance_short - -The balance constraints are analogous to the nonce constraints described above. -The difference is that balance is stored in `c_main.bytes`. - -### is_wrong_leaf is bool - -When `non_existing_account_proof` proof type (which can be of two subtypes: with wrong leaf -and without wrong leaf, more about it below), the `is_wrong_leaf` flag specifies whether -the subtype is with wrong leaf or not. -When `non_existing_account_proof` without wrong leaf -the proof contains only branches and a placeholder account leaf. -In this case, it is checked that there is nil in the parent branch -at the proper position (see `account_non_existing`). Note that we need (placeholder) account -leaf for lookups and to know when to check that parent branch has a nil. - -In `is_wrong_leaf is bool` we only check that `is_wrong_leaf` is a boolean values. -Other wrong leaf related constraints are in other gates. - -### is_wrong_leaf needs to be 0 when not in non_existing_account proof - -`is_wrong_leaf` can be set to 1 only when the proof is not non_existing_account proof. - -### Nonce RLC long - -Besides having nonce (its bytes) stored in `s_main.bytes`, we also have the RLC -of nonce bytes stored in `s_mod_node_hash_rlc` column. The value in this column -is to be used by lookups. -`Nonce RLP long` constraint ensures the RLC of a nonce is computed properly when -nonce is long. - -### Nonce RLC short - -Similarly as in `Nonce RLP long` constraint, -`Nonce RLP short` constraint ensures the RLC of a nonce is computed properly when -nonce is short. - -### Balance RLC long - -Besides having balance (its bytes) stored in `c_main.bytes`, we also have the RLC -of nonce bytes stored in `c_mod_node_hash_rlc` column. The value in this column -is to be used by lookups. -`Balance RLP long` constraint ensures the RLC of a balance is computed properly when -balance is long. - -### Balance RLC short - -Similarly as in `Balance RLP long` constraint, -`Balance RLP short` constraint ensures the RLC of a balance is computed properly when -balance is short. - -### S nonce RLC is correctly copied to C row - -To enable lookup for nonce modification we need to have `S` nonce and `C` nonce -in the same row. For this reason, `S` nonce RLC is copied to `sel1` column in `C` row. -This constraint checks whether the value is properly copied. - -### S balance RLC is correctly copied to C row - -To enable lookup for balance modification we need to have `S` balance and `C` balance -in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. -This constraint checks whether the value is properly copied. - -### If storage or balance modification: S nonce = C nonce - -We need to ensure there is only one modification at a time. If there is storage or -balance modification, we need to ensure `S` nonce and `C` nonce are the same. - -### If storage or nonce modification: S balance = C balance - -We need to ensure there is only one modification at a time. If there is storage or -nonce modification, we need to ensure `S` balance and `C` balance are the same. - -### Leaf nonce acc mult (nonce long) - -When adding nonce bytes to the account leaf RLC we do: -`rlc_after_nonce = rlc_tmp + s_main.bytes[0] * mult_tmp + s_main.bytes[1] * mult_tmp * r + ... + s_main.bytes[k] * mult_tmp * r^k` -Note that `rlc_tmp` means the RLC after the previous row, while `mult_tmp` means the multiplier -(power of randomness `r`) that needs to be used for the first byte in the current row. - -In this case we assumed there are `k + 1` nonce bytes. After this we continue adding bytes: -`rlc_after_nonce + b1 * mult_tmp * r^{k+1} + b2 * mult_tmp * r^{k+1} * r + ... -Note that `b1` and `b2` are the first two bytes that need to used next (balance bytes). - -The problem is `k` can be different from case to case. For this reason, we store `r^{k+1}` in -`mult_diff_nonce` (which is actually `acc_c`). -That means we can compute the expression above as: -`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... - -However, we need to ensure that `mult_diff_nonce` corresponds to `s_main.bytes[0]` where the length -of the nonce is specified. This is done using `key_len_lookup` below. - -There is one more detail: when computing RLC after nonce, we compute also the bytes that come before -nonce bytes in the row. These are: `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`. -It is a bit confusing (we are limited with layout), but `c_main.rlp1` and `c_main.rlp2` -are bytes that actually appear in the account leaf RLP stream before `s_main.bytes`. -So we have: -`rlc_after_nonce = rlc_tmp + s_main.rlp1 * mult_tmp + s_main.rlp2 * mult_tmp * r + c_main.rlp1 * mult_tmp * r^2 + c_main.rlp2 * mult_tmp * r^3 + s_main.bytes[0] * mult_tmp * r^4 + ... + s_main.bytes[k] * mult_tmp * r^4 * r^k` -That means `mult_diff_nonce` needs to store `r^4 * r^{k+1}` and we continue computing the RLC -as mentioned above: -`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... - -Let us observe the following example. -[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] -Here: -`rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5` -And we continue computing the RLC: -`rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... ` - -### Leaf nonce acc mult (nonce short) - -When nonce is short (occupying only one byte), we know in advance that `mult_diff_nonce = r^5` -as there are `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, and `s_main.bytes[0]` bytes to be taken into account. - -### Leaf balance acc mult (balance long) - -We need to prepare the multiplier that will be needed in the next row: `acc_mult_final`. -We have the multiplier after nonce bytes were added to the RLC: `acc_mult_after_nonce`. -Now, `acc_mult_final` depends on the number of balance bytes. -`rlc_after_balance = rlc_after_nonce + b1 * acc_mult_after_nonce + ... + bl * acc_mult_after_nonce * r^{l-1}` -Where `b1,...,bl` are `l` balance bytes. As with nonce, we do not know the length of balance bytes -in advance. For this reason, we store `r^l` in `mult_diff_balance` and check whether: -`acc_mult_final = acc_mult_after_nonce * mult_diff_balance`. -Note that `mult_diff_balance` is not the last multiplier in this row, but the first in -the next row (this is why there is `r^l` instead of `r^{l-1}`). - -### Leaf balance acc mult (balance short) - -When balance is short, there is only one balance byte and we know in advance that the -multiplier changes only by factor `r`. - -### Leaf nonce balance s_main.rlp1 = 184 - -`s_main.rlp1` needs always be 184. This is RLP byte meaning that behind this byte -there is a string of length more than 55 bytes and that only `1 = 184 - 183` byte is reserved -for length (`s_main.rlp2`). The string is always of length greater than 55 because there -are codehash (32 bytes) and storage root (32 bytes) in the next row as part of this string. - -The only exception is when `is_non_existing_account_proof = 1` & `is_wrong_leaf = 0`. -In this case the value does not matter as the account leaf is only a placeholder and -does not use `s_main.rlp1` and `s_main.rlp2`. Note that it uses `s_main` for nibbles -because the account address is computed using nibbles and this account address needs -to be as required by a lookup. - -### Leaf nonce balance c_main.rlp1 = 248 - -`c_main.rlp1` needs to always be 248. This is RLP byte meaning that behind this byte -there is a list which has one byte that specifies the length - `at c_main.rlp2`. - -The only exception is when `is_non_existing_account_proof = 1` & `is_wrong_leaf = 0`. -In this case the value does not matter as the account leaf is only a placeholder and -does not use `c_main`. Note that it uses `s_main` for nibbles because the account address -is computed using nibbles and this account address needs to be as required by a lookup. -That means there is an account leaf which is just a placeholder but it still has the -correct address. - -Example: -``` -[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] -``` -248 at c_main.rlp1 means one byte for length. This byte is 76, meaning there are 76 bytes after it. - -### Leaf nonce balance s_main.rlp2 - c_main.rlp2 - -`c_main.rlp2` specifies the length of the remaining RLP string. Note that the string -is `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, nonce bytes, balance bytes. -Thus, `c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. -`s_main.rlp2` - `c_main.rlp2` = 2 because of two bytes difference: `c_main.rlp1` and c_main.rlp2`. - -Example: -``` -[184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] -``` -We can see: `78 - 76 - 1 - 1 = 0`. - -### Lean nonce balance c_main.rlp2 - -`c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. -Note that `32 + 32` means the number of codehash bytes + the number of storage root bytes. - -### Account leaf RLP length - -The whole RLP length of the account leaf is specified in the account leaf key row with -`s_main.rlp1 = 248` and `s_main.rlp2`. `s_main.rlp2` in key row actually specifies the length. -`s_main.rlp2` in nonce balance row specifies the length of the remaining string in nonce balance -row, so we need to check that `s_main.rlp2` corresponds to the key length (in key row) and -`s_main.rlp2` in nonce balance row. However, we need to take into account also the bytes -where the lengths are stored: -`s_main.rlp2 (key row) - key_len - 1 (because key_len is stored in 1 byte) - s_main.rlp2 (nonce balance row) - 1 (because of s_main.rlp1) - 1 (because of s_main.rlp2) = 0` - -Example: -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -We can see: `106 - 33 - 1 - 70 - 1 - 1 = 0`. - -### mult_diff_nonce - -`mult_diff_nonce` needs to correspond to nonce length + 5 bytes: -`s_main.rlp1,` `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp1`, 1 for byte with nonce length (`s_main.bytes[0]`). -That means `mult_diff_nonce` needs to be `r^{nonce_len+5}` where `nonce_len = s_main.bytes[0] - 128`. - -Note that when nonce is short, `mult_diff_nonce` is not used (see the constraint above). - -### 0s after nonce ends - -Nonce RLC is computed over `s_main.bytes[1]`, ..., `s_main.bytes[31]` because we do not know -the nonce length in advance. To prevent changing the nonce and setting `s_main.bytes[i]` for -`i > nonce_len + 1` to get the correct nonce RLC, we need to ensure that -`s_main.bytes[i] = 0` for `i > nonce_len + 1`. - -### mult_diff_balance - -`mult_diff_balance` needs to correspond to balance length + 1 byte for byte that contains balance length. -That means `mult_diff_balance` needs to be `r^{balance_len+1}` where `balance_len = c_main.bytes[0] - 128`. - -Note that when balance is short, `mult_diff_balance` is not used (see the constraint above). - -### 0s after balance ends - -Balance RLC is computed over `c_main.bytes[1]`, ..., `c_main.bytes[31]` because we do not know -the balance length in advance. To prevent changing the balance and setting `c_main.bytes[i]` for -`i > balance_len + 1` to get the correct balance RLC, we need to ensure that -`c_main.bytes[i] = 0` for `i > balance_len + 1`. - -### Range lookups - -Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 - 255). - -## Old specs (will be replaced by new specs above) - We split the branch information into 16 rows (one row for each node). The proof looks like:

diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md new file mode 100644 index 000000000..cb1ad0d07 --- /dev/null +++ b/specs/mpt/mpt-proof.md @@ -0,0 +1,146 @@ +# Merkle Patricia Trie (MPT) Proof + +## New specs (temporary name) + +MPT circuit checks that the modification of the trie state happened correctly. + +Let us assume there are two proofs (as returned by `eth getProof`): + +- A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. +- A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. + +The circuit checks the transition from `val1` to `val2` at `key1` that led to the change +of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). + +The proof returned by `eth getProof` looks like: + +``` +{ + "id": 1, + "jsonrpc": "2.0", + "result": { + "accountProof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380", + "0xf90211a...5fb20c80", + "0xf90211a...0675b80", + "0xf90151a0...ca08080" + ], + "balance": "0x0", + "codeHash": "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", + "nonce": "0x0", + "storageHash": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "storageProof": [ + { + "key": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "proof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380" + ], + "value": "0x1" + } + ] + } +} +``` + +In the above case account proof contains five elements. +The first four are branches / extension nodes, the last one is account leaf. +The hash of the account leaf is checked to +be in the fourth element (at the proper position - depends on the account address). +The hash of the fourth element is checked to be in the third element (at the proper position) ... + +The storage proof in the above case contains two elements. +The first one is branch or extension node, the second element is storage leaf. +The hash of storage leaf is checked to +be in the first element at the proper position (depends on the key). + +The hash of the first storage proof element (storage root) needs to be checked +to be in the account leaf of the last account proof element. + +## Two parallel proofs + +This section gives a bit of intuition why MPT circuit handles two parallel proofs at the +same time. Namely, there is `S` (as `State`) proof which presents the state of the trie +before the modification. And there is `C` (as `Change`) proof which presents the state +of the trie after modification. + +The columns are split into two categories (not to be mixed with two parallel proofs). +There are `2 * (2 + 32)` columns which contain RLP +streams returned by `getProof`. The other columns are selectors (for example which kind of +row we are at). + +The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 width. +The additional 2 bytes are for RLP specific bytes which store information like +how long is the substream. +Finally, the multiplier 2 is because we always have two parallel proofs: +before and after modification. + +The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. +There is `MainCols` for `S` proof (named `s_main`) and +`MainCols` for `C` proof (named `c_main`). + +Let us observe a branch. It contains 16 children which are distributed over 16 rows. +We have branch `S` and branch `C`. + +Branch rows: +``` +Branch S child 0 | Branch C child 0 +... +Branch S child 15 | Branch C child 15 +``` + +The branch does not include raw children, it includes only a hash of each children (except +when a child is shorter than 32 bytes, in this case the raw child is included in a branch). + +Branch rows (you can see there are `2 * (2 + 32)` columns): +``` +s_main | c_main +rlp1 rlp2 bytes | rlp1 rlp2 bytes +0 160 hash(S child 0) | 0 160 hash(C child 0) +... +0 160 hash(S child 15) | 0 160 hash(C child 15) +``` + +The value 160 is RLP specific and it means that the following RLP string is of length +`32 = 160 - 128`. + +Branch can have some empty children, in this case the row looks like: +``` +0 0 128 0 ... 0 | 0 0 128 0 ... 0 +``` + +In case, there is a child of length smaller than 32, its corresponding branch row looks like: +``` +0 0 194 32 1 0 ... 0 | 0 0 194 32 1 0 ... 0 +``` + +The value 194 is RLP specific and it means that the following RLP list is of length +`2 = 194 - 192`. + +## Proof type + +MPT circuit supports the following proofs: + - Storage modification + - Nonce modification + - Balance modification + - Account delete + - Non existing account + +There is a struct `ProofTypeCols` that is to be used to specify the type of a proof: +``` +struct ProofTypeCols { + is_storage_mod: Column, + is_nonce_mod: Column, + is_balance_mod: Column, + is_account_delete_mod: Column, + is_non_existing_account_proof: Column, +} +``` + +The columns in the struct falls into selectors category (as opposed to `MainCols` columns). +`SelectorsChip` ensures there is exactly one type of proof selected. + +## Account leaf + +Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). \ No newline at end of file From 27fed6aad81703cbba15e7ca11b42034f84ebbee Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 10 Aug 2022 16:47:19 +0200 Subject: [PATCH 30/92] minor update to account leaf key chip --- specs/mpt/account-leaf.md | 76 +++++++++++++++++++++++++++++++++++---- specs/mpt/mpt-proof.md | 2 -- 2 files changed, 70 insertions(+), 8 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 837afb959..4bd1ebcb3 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -1,10 +1,5 @@ # Account leaf -## Nonce balance constraints - -Let us observe the proof for the modification of the account nonce. Let us assume there is only -one account stored in the trie. We change the nonce for this account from 0 to 1. - An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, our circuit will only have 8 rows. @@ -22,6 +17,76 @@ ACCOUNT_LEAF_STORAGE_CODEHASH_C ACCOUNT_DRIFTED_LEAF ``` +Example: +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +## Key constraints + +### Account leaf key s_main.rlp1 = 248 + +Account leaf always starts with 248 because its length is always longer than 55 bytes due to +containing two hashes - storage root and codehash, which are both of 32 bytes. +248 is RLP byte which means there is `1 = 248 - 247` byte specifying the length of the remaining +list. For example, in `[248,112,157,59,...]`, there are 112 byte after the second byte. + +## Leaf key RLC + +In each row of the account leaf we compute an intermediate RLC of the whole leaf. +The RLC after account leaf key row is stored in `acc` column. We check the stored value +is computed correctly. + +## Zeros in s_main.bytes & c_main.rlp1 & c_main.rlp2 after key ends + +Key RLC is computed over `s_main.bytes[1]`, ..., `s_main.bytes[31]` because we do not know +the key length in advance. To prevent changing the key and setting `s_main.bytes[i]` for +`i > nonce_len + 1` to get the correct nonce RLC, we need to ensure that +`s_main.bytes[i] = 0` for `i > key_len + 1`. +The key can also appear in `c_main.rlp1` and `c_main.rlp2`, so we need to check these two columns too. + +Note: the key length is always in `s_main.bytes[0]` here as opposed to storage +key leaf where it can appear in `s_rlp2` too. This is because the account +leaf contains nonce, balance, ... which makes it always longer than 55 bytes, +which makes a RLP to start with 248 (`s_rlp1`) and having one byte (in `s_rlp2`) +for the length of the remaining stream. + +### mult_diff + +When the account intermediate RLC needs to be computed in the next row (nonce balance row), we need +to know the intermediate RLC from the current row and the randomness multiplier (`r` to some power). +The power of randomness `r` is determined by the key length - the intermediate RLC in the current row +is computed as (key starts in `s_main.bytes[1]`): +`rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2}` +So the multiplier to be used in the next row is `r^{key_len + 2}`. + +`mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. +That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes[0] - 128`. + + + +## Nonce balance constraints + +Let us observe the proof for the modification of the account nonce. Let us assume there is only +one account stored in the trie. We change the nonce for this account from 0 to 1. + +An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, +our circuit will only have 8 rows. + The witness for our proof looks like (excluding selector columns): ``` @@ -452,4 +517,3 @@ Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 Note: `s_main.rlp1` and `c_main.rlp1` are not used. - diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index cb1ad0d07..eb811ffec 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -1,7 +1,5 @@ # Merkle Patricia Trie (MPT) Proof -## New specs (temporary name) - MPT circuit checks that the modification of the trie state happened correctly. Let us assume there are two proofs (as returned by `eth getProof`): From 8ae596c7fd326ab4475ab0efb421a66dd9dc714b Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 11 Aug 2022 17:18:03 +0200 Subject: [PATCH 31/92] account leaf key constraints update --- specs/mpt/account-leaf.md | 56 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 56 insertions(+) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 4bd1ebcb3..cfc517359 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -77,6 +77,62 @@ So the multiplier to be used in the next row is `r^{key_len + 2}`. `mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes[0] - 128`. +### Account leaf key with even nibbles: s_main.bytes[1] = 32 + +If there is an even number of nibbles in the leaf, `s_main.bytes[1]` need to be 32. + +### Address RLC + +Account leaf contains the remaining nibbles of the account address. Combining the path +of the leaf in the trie and these remaining nibbles needs to be the same as the account +address which is given in the `address_rlc` column that is to be used by a lookup (see the +constraint below). + +Address RLC needs to be computed properly - we need to take into account the path of the leaf +in the trie and the remaining nibbles in the account leaf. + +The intermediate RLC is retrieved from the last branch above the account leaf - this +presents the RLC after the path to the leaf is considered. After this, the bytes (nibbles +in a compacted form) in the leaf have to be added to the RLC. + +### Computed account address RLC same as value in address_rlc column + +The computed key RLC needs to be the same as the value in `address_rlc` column. +This seems to be redundant (we could write one constraint instead of two: +`key_rlc_acc - address_rlc = 0`), but note that `key_rlc` is used in +`account_leaf_key_in_added_branch` and in cases when there is a placeholder branch +we have `key_rlc - address_rlc != 0` because `key_rlc` is computed for the branch +that is parallel to the placeholder branch. + +Note that there is a similar constraint for the cases when the account leaf is in the first level, but +here we do not fetch for the intermediate RLC from the branch above as there is no branch above. + +### Previous key RLC + +When there is an account leaf after a placeholder branch, the intermediate key RLC needs to be +fetched from the branch above the placeholder branch. That would require a rotation over two +levels which leads into ConstrainedPoisoned because we are accessing the rows before 0 in +some cases. For this reason, we copy previous key RLC to the current branch so that we have +in each branch a current and previous key RLC at our disposal. This way we do not need to +rotate over two levels. + +We need to ensure that the key RLC from the branch above the placeholder branch is copied +to `accs.acc_c.rlc`. This enables us to compute the address RLC after a branch placeholder +(see the constraint below) by not using rotations over two levels (we have the intermediate +RLC in the current row). + +### Previous key RLC mult + +We need to ensure that the key RLC mult from the branch above the placeholder branch is copied +to `accs.acc_c.mult`. + +### Account address RLC after branch placeholder + +Although `key_rlc` is not compared to `address_rlc` in the case when the leaf +is below placeholder branch (`address_rlc` is compared to the parallel leaf `key_rlc`), +we still need properly computed `key_rlc` to reuse it in `account_leaf_key_in_added_branch`. + +Note: `key_rlc - address_rlc != 0` when placeholder branch. ## Nonce balance constraints From 1a83bc5bc13265fcb833c751e5e0313f0682baa5 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 12 Aug 2022 15:56:41 +0200 Subject: [PATCH 32/92] account leaf docs --- specs/mpt/account-leaf.md | 33 ++++++++++++++++++++++++++++++++- 1 file changed, 32 insertions(+), 1 deletion(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index cfc517359..3c5e3945b 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -128,12 +128,43 @@ to `accs.acc_c.mult`. ### Account address RLC after branch placeholder +The example layout for a branch placeholder looks like (placeholder could be in `C` proof too): +``` +Branch 1S || Branch 1C +Branch 2S (placeholder) || Branch 2C +Leaf S +Leaf C +``` + +Using `Previous key RLC` constraint we ensured that we copied the key RLC from Branch 1S +to Leaf S `accs.acc_c.rlc` column. So when add nibbles to compute the key RLC (address RLC) +of the account, we start with `accs.acc_c.rlc` value from the current row. + Although `key_rlc` is not compared to `address_rlc` in the case when the leaf -is below placeholder branch (`address_rlc` is compared to the parallel leaf `key_rlc`), +is below the placeholder branch (`address_rlc` is compared to the parallel leaf `key_rlc`), we still need properly computed `key_rlc` to reuse it in `account_leaf_key_in_added_branch`. Note: `key_rlc - address_rlc != 0` when placeholder branch. +### If account delete, there is either a placeholder leaf or a placeholder branch + +We need to make sure there is no leaf when account is deleted. Two possible cases: +1. Account leaf is deleted and there is a nil object in branch. In this case we have + a placeholder leaf. +2. Account leaf is deleted from a branch with two leaves, the remaining leaf moves one level up + and replaces the branch. In this case we have a branch placeholder. + +So we need to check there is a placeholder branch when we have the second case. + +Note: we do not need to cover the case when the (only) branch dissapears and only one +leaf remains in the trie because there will always be at least two leaves +(the genesis account) when account will be deleted, +so there will always be a branch / extension node (and thus placeholder branch). + +### Range lookups + +Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). +Note that `c_main.bytes` columns are not used. ## Nonce balance constraints From 3ce786c162ca30edbbd73a65cbf86961c65f8809 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 16 Aug 2022 16:41:31 +0200 Subject: [PATCH 33/92] account in added branch description --- specs/mpt/account-leaf.md | 110 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 110 insertions(+) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 3c5e3945b..bece11289 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -604,3 +604,113 @@ Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 Note: `s_main.rlp1` and `c_main.rlp1` are not used. +## Drifted leaf (account in added branch) + +Sometimes `S` and `C` proofs are not of the same length. For example, when a new account `A1` is added, +the following scenario might happen. Let us say that the account that is being added has the address +(in nibbles): +``` +[8, 15, 1, ...] +``` + +And let us say there already exists an account `A` with the following nibbles: +``` +[8, 15, 3, ...] +``` + +Also, let us assume that the account `A` is in the third trie level. We have `Branch0` in the first level: +``` + Branch0 +Node_0_0 Node_0_1 ... Node_0_15 +``` + +`Node_0_8` is the hash of a branch `Branch1`: +``` + Branch1 +Node_1_0 Node_1_1 ... Node_1_15 +``` + +`Node_1_15` is the hash of the account `A`. + +Before we add the account `A1`, we first obtain the `S` proof which will contain the account `A` as a leaf +because the first part of the address `[8, 15]` is the same and when going down the trie retrieving +the elements of a proof, the algorithm arrives to the account `A`. + +When we add the account `A1`, it cannot be placed at position 15 in `Branch1` because it is already +occupied by the account `A`. For this reason, a new branch `Branch2` is added. +Now, the third nibble of the accounts `A` and `A1` is considered. The account `A` drifts into a new branch +to position 3, while the account `A1` is placed at position 1 in `Branch2`. + +Thus, the `C` proof has one element more than the `S` proof (the difference is due to `Branch2`). + +``` +S proof || C proof +Branch0 || Branch0 +Branch1 || Branch1 +(Placeholder branch) || Branch2 +A || A1 +``` + +To preserve the parallel layout, the circuit uses a placeholder branch that occupies the columns +in `S` proof parallel to `Branch2`. + +Having a parallel layout is beneficial for multiple reasons, for example having the layout as below +would cause problems with selectors such as `is_branch_child` as there would be account and branch +in the same row. Also, it would make the lookups more complicated as it is much easier to enable +a lookup if accounts `A` and `A1` are in the same row. Non-parallel layout: + +``` +S proof || C proof +Branch0 || Branch0 +Branch1 || Branch1 +A || Branch2 + || A1 +``` + +We need to include the account `A` that drifted into `Branch2` in the `C` proof too. This is because +we need to check that `Branch2` contains exactly two leaves: `A1` and `A` after it moved down from +`Branch1`. We need to also check that the account `A` in `S` proof (in `Branch1`) differs +from the account `A` in `C` proof (in `Branch2`) in exactly one key nibble (this is different +if an extension node is added instead of a branch), everything else stays the same (the value +stored in the leaf). + +An example of `getProof` output where `S` proof have two elements (branch and account leaf): + +``` +[248 241 160 255 151 217 75 103 5 122 115 224 137 233 146 50 189 95 178 178 247 44 237 22 101 231 39 198 40 14 249 60 251 151 15 128 128 128 128 160 60 79 85 51 115 192 158 157 93 223 211 100 62 94 72 146 251 82 116 111 190 139 246 12 252 146 211 122 66 110 206 20 128 160 120 190 160 200 253 109 255 226 49 189 87 112 136 160 23 77 119 59 173 185 188 145 251 156 155 144 100 217 100 114 109 106 128 160 69 72 113 186 79 146 63 86 46 218 1 200 131 76 71 142 217 35 30 209 101 239 91 47 163 221 136 130 249 155 236 112 160 49 65 26 94 193 156 227 78 42 198 56 211 105 254 0 33 31 96 41 208 40 13 215 156 51 173 132 112 34 192 121 49 160 244 154 252 18 232 96 245 36 84 15 253 182 157 226 247 165 106 144 166 1 2 140 228 170 110 87 112 80 140 149 162 43 128 160 20 103 6 95 163 140 21 238 207 84 226 60 134 0 183 217 11 213 185 123 139 201 37 22 227 234 220 30 160 20 244 115 128 128 128] +[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 184 70 248 68 1 128 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124] +``` + +An example of `getProof` output where `C` proof have three elements (branch, added branch, and account leaf): + +``` +[248 241 160 188 253 144 87 144 251 204 78 148 203 12 141 0 77 176 70 67 92 90 100 110 40 255 28 218 97 116 184 26 121 18 49 128 128 128 128 160 60 79 85 51 115 192 158 157 93 223 211 100 62 94 72 146 251 82 116 111 190 139 246 12 252 146 211 122 66 110 206 20 128 160 120 190 160 200 253 109 255 226 49 189 87 112 136 160 23 77 119 59 173 185 188 145 251 156 155 144 100 217 100 114 109 106 128 160 69 72 113 186 79 146 63 86 46 218 1 200 131 76 71 142 217 35 30 209 101 239 91 47 163 221 136 130 249 155 236 112 160 49 65 26 94 193 156 227 78 42 198 56 211 105 254 0 33 31 96 41 208 40 13 215 156 51 173 132 112 34 192 121 49 160 244 154 252 18 232 96 245 36 84 15 253 182 157 226 247 165 106 144 166 1 2 140 228 170 110 87 112 80 140 149 162 43 128 160 20 103 6 95 163 140 21 238 207 84 226 60 134 0 183 217 11 213 185 123 139 201 37 22 227 234 220 30 160 20 244 115 128 128 128] +[248 81 128 128 128 128 128 128 128 160 222 45 71 217 199 68 20 55 244 206 68 197 49 191 78 208 106 209 111 87 254 9 221 230 148 86 131 219 7 121 62 140 160 190 214 56 80 83 126 135 17 104 48 181 30 249 223 80 59 155 70 206 67 24 6 82 98 81 246 212 143 253 181 15 180 128 128 128 128 128 128 128 128] +[248 102 157 32 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 184 70 248 68 1 23 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124] +``` + +The account leaf is distributed over 8 rows as described above: + +``` +ACCOUNT_LEAF_KEY_S +ACCOUNT_LEAF_KEY_C +ACCOUNT_NON_EXISTING +ACCOUNT_LEAF_NONCE_BALANCE_S +ACCOUNT_LEAF_NONCE_BALANCE_C +ACCOUNT_LEAF_STORAGE_CODEHASH_S +ACCOUNT_LEAF_STORAGE_CODEHASH_C +ACCOUNT_DRIFTED_LEAF +``` + +`ACCOUNT_DRIFTED_LEAF` row is where the account `A` when in `Branch2` is stored. + +``` +[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 6] +[248 102 157 32 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 4] +[0 0 0 32 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 18] +[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 7] +[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 8] +[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 9] +[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 11] +[248 102 157 32 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 10] +``` \ No newline at end of file From 7a8bedc631af73dbaae7a775d175bc712c9829d5 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 17 Aug 2022 16:55:11 +0200 Subject: [PATCH 34/92] documenting extension node & account leaf --- specs/mpt/account-leaf.md | 80 +++++++++++++++++++++++-- specs/mpt/extension-node.md | 116 ++++++++++++++++++++++++++++++++++++ specs/mpt/mpt-proof.md | 5 +- 3 files changed, 195 insertions(+), 6 deletions(-) create mode 100644 specs/mpt/extension-node.md diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index bece11289..3eb16b6a9 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -67,8 +67,8 @@ for the length of the remaining stream. ### mult_diff -When the account intermediate RLC needs to be computed in the next row (nonce balance row), we need -to know the intermediate RLC from the current row and the randomness multiplier (`r` to some power). +When the account intermediate RLC is computed in the next row (nonce balance row), we need +to know the intermediate RLC and the randomness multiplier (`r` to some power) from the current row. The power of randomness `r` is determined by the key length - the intermediate RLC in the current row is computed as (key starts in `s_main.bytes[1]`): `rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2}` @@ -632,6 +632,16 @@ Node_1_0 Node_1_1 ... Node_1_15 `Node_1_15` is the hash of the account `A`. +So we have: +``` + Branch0 +Node_0_0 Node_0_1 ... Node_0_8 ... Node_0_15 + | + Node_1_0 Node_1_1 ... Node_1_15 + | + A +``` + Before we add the account `A1`, we first obtain the `S` proof which will contain the account `A` as a leaf because the first part of the address `[8, 15]` is the same and when going down the trie retrieving the elements of a proof, the algorithm arrives to the account `A`. @@ -651,6 +661,9 @@ Branch1 || Branch1 A || A1 ``` +Note that the scenario is reversed (`S` and `C` are turned around) when a leaf is deleted +from the branch with exactly two leaves. + To preserve the parallel layout, the circuit uses a placeholder branch that occupies the columns in `S` proof parallel to `Branch2`. @@ -702,7 +715,9 @@ ACCOUNT_LEAF_STORAGE_CODEHASH_C ACCOUNT_DRIFTED_LEAF ``` -`ACCOUNT_DRIFTED_LEAF` row is where the account `A` when in `Branch2` is stored. +`ACCOUNT_DRIFTED_LEAF` row is where the account `A` (when in `Branch2`) is stored. +We can see the example below - the key of the account `A` (when in `Branch2`) is in the last +row. Note that key of the account `A` when in `Branch1` is in the first row. ``` [248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 6] @@ -713,4 +728,61 @@ ACCOUNT_DRIFTED_LEAF [0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 9] [0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 11] [248 102 157 32 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 92 69 153 141 251 249 206 112 188 187 128 87 78 215 166 34 146 45 44 119 94 10 35 49 254 90 139 141 204 153 244 144 242 246 191 23 44 167 166 154 14 14 27 198 200 66 149 155 102 162 36 92 147 76 227 228 141 122 139 186 245 89 5 41 252 237 52 8 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 10] -``` \ No newline at end of file +``` + +We can observe that there is a difference of one nibble in the key. In the first row, the nibbles +are compressed as: `[55, 236, 125, ...]`. In the last row, the nibbles are compressed as: +`[32, 236, 125, ...]`. The difference is that in the first row there is a first nibble `7 = 55 - 48`. +This nibble is not present in the account `A` when moved down into `Branch2` because 7 is the position +where the account `A` is placed in `Branch2`. + +The constraints for a drifted leaf are presented below. + +### Account leaf key s_rlp1 = 248 + +`s_rlp1` is always 248 because the account leaf is always longer than 55 bytes. + +### Leaf key intermediate RLC + +We check that the leaf RLC is properly computed. RLC is then taken and +nonce/balance & storage root / codehash values are added to the RLC (note that nonce/balance +& storage root / codehash are not stored for the drifted leaf because these values stay +the same as in the leaf before drift). +Finally, the lookup is used to check the hash that corresponds to this RLC is +in the parent branch at `drifted_pos` position. + +### mult_diff + +Similarly as in `account_leaf_key.rs`. +When the full account intermediate RLC is computed, we need +to know the intermediate RLC and the randomness multiplier (`r` to some power) from the key row. +The power of randomness `r` is determined by the key length - the intermediate RLC in the current row +is computed as (key starts in `s_main.bytes[1]`): +`rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2}` +So the multiplier to be used in the next row is `r^{key_len + 2}`. + +`mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. +That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes[0] - 128`. + +Note that the key length is different than the on of the leaf before it drifted (by one nibble +if a branch is added, by multiple nibbles if extension node is added). + +### Drifted leaf key RLC same as the RLC of the leaf before drift + +The key RLC of the drifted leaf needs to be the same as the key RLC of the leaf before +the drift - the nibbles are the same in both cases, the difference is that before the +drift some nibbles are stored in the leaf key, while after the drift these nibbles are used as +position in a branch or/and nibbles of the extension node. + +### Account leaf key in added branch: drifted leaf hash in the parent branch + +We take the leaf RLC computed in the key row, we then add nonce/balance and storage root/codehash +to get the final RLC of the drifted leaf. We then check whether the drifted leaf is at +the `drifted_pos` in the parent branch - we use a lookup to check that the hash that +corresponds to this RLC is in the parent branch at `drifted_pos` position. + +### Range lookups + +Range lookups ensure that the value in the columns are all bytes (between 0 - 255). +Note that `c_main.bytes` columns are not used. + diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md new file mode 100644 index 000000000..1be044fc4 --- /dev/null +++ b/specs/mpt/extension-node.md @@ -0,0 +1,116 @@ +# Extension node + +An extension node occupies 2 rows. Extension node is an extension to the branch and can be viewed +as a special kind of branch. The branch / extension node layout is as follows: + +``` +IS_INIT +IS_CHILD 0 +... +IS_CHILD 15 +IS_EXTENSION_NODE_S +IS_EXTENSION_NODE_C +``` + +Contrary as in the branch rows, the `S` and `C` extension nodes are not positioned parallel to each +other. We have extension node for `S` proof in `IS_EXTENSION_NODE_S` row and extension node for `C` proof +in `IS_EXTENSION_NODE_C` row. + +Let us observe the following example (similar to the on for +[account-leaf.md](account-leaf.md)). We are adding a new account `A1` to the trie. +Let us say that the account `A1` has the address +(in nibbles): +``` +[8, 15, 1, 8, 7, ...] +``` + +And let us say there already exists an account `A` in the trie with the following nibbles: +``` +[8, 15, 1, 8, 4, ...] +``` + +Also, let us assume that the account `A` is in the third trie level. We have `Branch0` in the first level: +``` + Branch0 +Node_0_0 Node_0_1 ... Node_0_15 +``` + +`Node_0_8` is the hash of a branch `Branch1`: +``` + Branch1 +Node_1_0 Node_1_1 ... Node_1_15 +``` + +`Node_1_15` is the hash of the account `A`. + +We have: +``` + Branch0 +Node_0_0 Node_0_1 ... Node_0_8 ... Node_0_15 + | + Node_1_0 Node_1_1 ... Node_1_15 + | + A +``` + +Now, we want to add `A1`. We cannot replace `A` with a branch because we would need to put both, +`A` and `A1` at position 1 (see the third nibble). We check how many nibbles from the third nibble on +the two accounts share and put these nibbles in the extension node. These nibbles are: `[1, 8]`. +So we have an extension of `[1, 8]` and then we place a branch `Branch2`. We put `A` in `Branch2` +at position 4 and we put `A1` in `Branch2` at position 7. + +So we have: +``` + Branch0 +Node_0_0 Node_0_1 ... Node_0_8 ... Node_0_15 + | + Node_1_0 Node_1_1 ... Node_1_15 + | + nil nil nil nil Node_2_4 nil nil Node_2_7 nil ... nil + | | + A A1 +``` + +Extension node contains two things: extension nibbles and hash of the underlying branch. +In our case, the extension node would contain `[1, 8]` and `Branch2` hash. Note that before `A1` has been +added, `Node_1_15` was hash of `A`. After `A1` was added, `Node_1_15` is hash of the extension node. + +## RLP encoding + +The RLP encoding of the extension node might look like as follows. +1. Having only one nibble in the extension: +``` +[226,16,160,172,105,12... +``` +In this case `s_main.rlp2` marks the nibble being `0 = 16 - 16`. `s_main.bytes[0]` denotes the length +of the following string (`32 = 160 - 128`). The string `[172,105,12,...]` is hash of the underlying +branch. + +2. Having only one nibble and the branch being shorter than 32 bytes (being non-hashed): +``` +[223,16,221,198,132,32,0,0,0,1,198,132,32,0,0,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128] +``` +In this case `s_main.bytes[0]` marks the length of the non-hashed branch: `29 = 221 - 192`. + +Similar example but with more nibbles (note that if extension node contains up to 55 bytes, +`s_main.rlp1` will be up to `247 = 192 + 55`). +``` +[247,160,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,213,128,194,32,1,128,194,32,1,128,128,128,128,128,128,128,128,128,128,128,128,128] +``` + +When the extension node contains more than 55 bytes: +``` +[248,58,159,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,217,128,196,130,32,0,1,128,196,130,32,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128] +``` +In this case `s_main.rlp2` marks the length of the remaining stream, `s_main.bytes[0]` denotes the +length of the bytes that store nibbles: `31 = 159 - 128`. + +3. Having more than one nibble: +``` +[228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +``` +In this case `s_main.rlp2` marks the length of the bytes that store nibbles: `2 = 130 - 128`. +The actual nibbles are `[9, 5]` as `149 = 9 * 16 + 5`. + + + diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index eb811ffec..d4b47d451 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -139,6 +139,7 @@ struct ProofTypeCols { The columns in the struct falls into selectors category (as opposed to `MainCols` columns). `SelectorsChip` ensures there is exactly one type of proof selected. -## Account leaf +## Constraints for different nodes -Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). \ No newline at end of file +Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). +Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file From 2380bf38154b6fa4dd18697a7c1df2b7e2ad41f6 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 18 Aug 2022 16:33:59 +0200 Subject: [PATCH 35/92] account leaf minor update --- specs/mpt/account-leaf.md | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 3eb16b6a9..9c8b1ca62 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -36,6 +36,22 @@ Example: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] ``` +There are two main scenarios when an account is added to the trie: + 1. There exists an account which has the same address to the some point. There are 64 + nibbles, if any number of the starting nibbles are the same for both addresses, a branch + will be added to trie. The existing account will drift down one level to the branch. The newly + added account will also appear in this branch. For example, let us say we have the account `A` + with nibbles `[3, 12, 3]` in the trie. We then add the account `A1` with nibbles `[3, 12, 5]` + to the trie. The branch will appear (at position `[3, 12]`) which will have `A` at position 3 + and `A1` at position 5. That means there will be an additional branch in `C` proof (or in `S` + proof when the situation is reversed - we are deleting the leaf instead of adding) and + a placeholder branch will be used to maintain the circuit layout (more details below). + + 2. There does not exist an account which has the same address to the some point. That means + there exists a branch with `nil` child where the account will be added. In this case, + the `getProof` response does not end with a leaf, but with a branch. To maintain the layout, + a placeholder account leaf is added. + ## Key constraints ### Account leaf key s_main.rlp1 = 248 From 07ade7413e518de21deb4e9c4c08242d1b38c6b1 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 19 Aug 2022 16:30:50 +0200 Subject: [PATCH 36/92] account non existing proof summary --- specs/mpt/account-leaf.md | 65 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 65 insertions(+) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 9c8b1ca62..940783e2a 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -802,3 +802,68 @@ corresponds to this RLC is in the parent branch at `drifted_pos` position. Range lookups ensure that the value in the columns are all bytes (between 0 - 255). Note that `c_main.bytes` columns are not used. +## Non-existing account proof constraints + +The rows of the account leaf are the following: +``` +ACCOUNT_LEAF_KEY_S +ACCOUNT_LEAF_KEY_C +ACCOUNT_NON_EXISTING +ACCOUNT_LEAF_NONCE_BALANCE_S +ACCOUNT_LEAF_NONCE_BALANCE_C +ACCOUNT_LEAF_STORAGE_CODEHASH_S +ACCOUNT_LEAF_STORAGE_CODEHASH_C +ACCOUNT_DRIFTED_LEAF +``` + +The constraints in this file apply to ACCOUNT_NON_EXISTING. + +For example, the row might be: +``` +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +We are proving that there is no account at the specified address. There are two versions of proof: + 1. A leaf is returned by getProof that is not at the required address (we call this a wrong leaf). + In this case, the `ACCOUNT_NON_EXISTING` row contains the nibbles of the address (the nibbles that remain + after the nibbles used for traversing through the branches are removed) that was enquired + while `ACCOUNT_LEAF_KEY` row contains the nibbles of the wrong leaf. We need to prove that + the difference is nonzero. This way we prove that there exists some account which has some + number of the starting nibbles the same as the enquired address (the path through branches + above the leaf), but at the same time the full address is not the same - the nibbles stored in a leaf differ. + 2. A branch is the last element of the getProof response and there is a nil object + at the address position. Placeholder account leaf is added in this case. + In this case, the `ACCOUNT_NON_EXISTING` row contains the same nibbles as `ACCOUNT_LEAF_KEY` and it is not needed. We just need to prove that the branch contains nil object (128) at the enquired address. + +The whole account leaf looks like: +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +For the example of non-existing account proof account leaf see below: + +``` +[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6] +[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4] +[1 0 0 56 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18] +[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7] +[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8] +[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 9] +[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 11] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10] +``` + +In this case, the nibbles in the third row are different from the nibbles in the first or second row. Here, we are +proving that the account does not exist at the address which starts with the same nibbles as the leaf that is +in the rows above (except for the `ACCOUNT_NON_EXISTING` row) and continues with nibbles `ACCOUNT_NON_EXISTING` row. + +Note that the selector (being 1 in this case) at `s_main.rlp1` specifies whether it is wrong leaf or nil case. + + From 62d28562ff1a64b70bcec20cf7b336dc67d562f2 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 22 Aug 2022 16:22:53 +0200 Subject: [PATCH 37/92] account leaf: account non existing constraints --- specs/mpt/account-leaf.md | 80 +++++++++++++++++++++++++++++++++++---- 1 file changed, 73 insertions(+), 7 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 940783e2a..65ebd7e85 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -69,16 +69,16 @@ is computed correctly. ## Zeros in s_main.bytes & c_main.rlp1 & c_main.rlp2 after key ends -Key RLC is computed over `s_main.bytes[1]`, ..., `s_main.bytes[31]` because we do not know -the key length in advance. To prevent changing the key and setting `s_main.bytes[i]` for -`i > nonce_len + 1` to get the correct nonce RLC, we need to ensure that +Key RLC is computed over all of `s_main.bytes[1], ..., s_main.bytes[31], c_main.rlp1, c_main.rlp2` +because we do not know the key length in advance. +To prevent changing the key and setting `s_main.bytes[i]` (or `c_main.rlp1/c_main.rlp2`) for +`i > key_len + 1` to get the desired key RLC, we need to ensure that `s_main.bytes[i] = 0` for `i > key_len + 1`. -The key can also appear in `c_main.rlp1` and `c_main.rlp2`, so we need to check these two columns too. -Note: the key length is always in `s_main.bytes[0]` here as opposed to storage -key leaf where it can appear in `s_rlp2` too. This is because the account +Note: the key length is always in s_main.bytes[0] here as opposed to storage +key leaf where it can appear in s_rlp2 too. This is because the account leaf contains nonce, balance, ... which makes it always longer than 55 bytes, -which makes a RLP to start with 248 (`s_rlp1`) and having one byte (in `s_rlp2`) +which makes a RLP to start with 248 (s_rlp1) and having one byte (in s_rlp2) for the length of the remaining stream. ### mult_diff @@ -866,4 +866,70 @@ in the rows above (except for the `ACCOUNT_NON_EXISTING` row) and continues with Note that the selector (being 1 in this case) at `s_main.rlp1` specifies whether it is wrong leaf or nil case. +### Account address RLC + +Differently as for the other proofs, the account-non-existing proof compares `address_rlc` with the address +stored in `ACCOUNT_NON_EXISTING` row, not in `ACCOUNT_LEAF_KEY` row. + +The crucial thing is that we have a wrong leaf at the address (not exactly the same, just some starting +set of nibbles is the same) where we are proving there is no account. +If there would be an account at the specified address, it would be positioned in the branch where +the wrong account is positioned. Note that the position is determined by the starting set of nibbles. +Once we add the remaining nibbles to the starting ones, we need to obtain the enquired address. +There is a complementary constraint that makes sure the remaining nibbles are different for wrong leaf +and the non-existing account (in the case of wrong leaf, while the case with nil being in branch +is different). + +### Wrong leaf sum check + +We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed +value is the same as the one stored in `accs.key.rlc` column. + +### Wrong leaf sum_prev check + +We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed +value is the same as the one stored in `accs.key.mult` column. + +### Address of a leaf is different than address being inquired (corresponding to address_rlc) + +The address in the `ACCOUNT_LEAF_KEY` row and the address in the `ACCOUNT_NON_EXISTING` row +are indeed different. + +### Nil object in parent branch + +In case when there is no wrong leaf, we need to check there is a nil object in the parent branch. +Note that the constraints in `branch.rs` ensure that `sel1` is 1 if and only if there is a nil object +at `modified_node` position. We check that in case of no wrong leaf in +the non-existing-account proof, `sel1` is 1. + +### Non existing account proof leaf address RLC (leaf in first level) + +Ensuring that the account does not exist when there is only one account in the state trie. +Similarly as `Account address RLC` constraint but for the first level. +Note 1: The hash of the only account is checked to be the state root in `account_leaf_storage_codehash.rs`. +Note 2: There is no nil_object case checked in this gate, because it is covered in the gate +above. That is because when there is a branch (with nil object) in the first level, +it automatically means the account leaf is not in the first level. + +### s_main.bytes[i] = 0 when key ends + +Key RLC is computed over all of `s_main.bytes[1], ..., s_main.bytes[31], c_main.rlp1, c_main.rlp2` +because we do not know the key length in advance. +To prevent changing the key and setting `s_main.bytes[i]` (or `c_main.rlp1/c_main.rlp2`) for +`i > key_len + 1` to get the desired key RLC, we need to ensure that +`s_main.bytes[i] = 0` for `i > key_len + 1`. + +Note that the number of the key bytes in the `ACCOUNT_NON_EXISTING` row needs to be the same as +the number of the key bytes in the `ACCOUNT_LEAF_KEY` row. + +Note: the key length is always in s_main.bytes[0] here as opposed to storage +key leaf where it can appear in `s_rlp2` too. This is because the account +leaf contains nonce, balance, ... which makes it always longer than 55 bytes, +which makes a RLP to start with 248 (`s_rlp1`) and having one byte (in `s_rlp2`) +for the length of the remaining stream. + +### Range lookups + +Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). +Note that `c_main.bytes` columns are not used. From 53d648d0ea3a3cde0bffca722fec5238a36f4ed6 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 23 Aug 2022 16:34:33 +0200 Subject: [PATCH 38/92] MPT account leaf updated --- specs/mpt/account-leaf.md | 230 ++++++++++++++++++++++++++++---------- specs/mpt/mpt-proof.md | 11 +- 2 files changed, 181 insertions(+), 60 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 65ebd7e85..b5997b2a4 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -1,10 +1,8 @@ # Account leaf -An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, -our circuit will only have 8 rows. - +An account leaf occupies 8 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each -other. The rows are the following: +other. The rows are as follows: ``` ACCOUNT_LEAF_KEY_S @@ -37,22 +35,36 @@ Example: ``` There are two main scenarios when an account is added to the trie: - 1. There exists an account which has the same address to the some point. There are 64 - nibbles, if any number of the starting nibbles are the same for both addresses, a branch - will be added to trie. The existing account will drift down one level to the branch. The newly - added account will also appear in this branch. For example, let us say we have the account `A` + 1. There exists another account which has the same address to the some point as the one that + is being added, including the position of this account in the branch. + In this case a new branch is added to the trie. + The existing account drifts down one level to the new branch. The newly + added account will also appear in this branch. For example, let us say that we have the account `A` with nibbles `[3, 12, 3]` in the trie. We then add the account `A1` with nibbles `[3, 12, 5]` to the trie. The branch will appear (at position `[3, 12]`) which will have `A` at position 3 - and `A1` at position 5. That means there will be an additional branch in `C` proof (or in `S` + and `A1` at position 5. This means there will be an additional branch in `C` proof (or in `S` proof when the situation is reversed - we are deleting the leaf instead of adding) and - a placeholder branch will be used to maintain the circuit layout (more details below). + for this reason we add a placeholder branch for `S` proof (for `C` proof in reversed situation) + to preserve the circuit layout (more details about this technicality are given below). + + 2. The branch where the new account is to be added has nil node at the position where the new account + is to be added. For example, let us have a branch at `[3, 12]`, we are adding a leaf with the + first three nibbles as `[3, 12, 5]`, and the position 5 in our branch is not occupied. + There does not exist an account which has the same address to the some point. + In this case, the `getProof` response does not end with a leaf, but with a branch. + To preserve the layout, a placeholder account leaf is added. - 2. There does not exist an account which has the same address to the some point. That means - there exists a branch with `nil` child where the account will be added. In this case, - the `getProof` response does not end with a leaf, but with a branch. To maintain the layout, - a placeholder account leaf is added. +In what follows we present the constraints for the account leaf. These are grouped into five +files: + * `account_leaf_key.rs` + * `account_leaf_nonce_balance.rs` + * `account_leaf_storage_codehash.rs` + * `account_leaf_key_in_added_branch.rs` + * `account_non_existing.rs` -## Key constraints +In the last section, we give an example of nonce modification proof. + +## Account key constraints ### Account leaf key s_main.rlp1 = 248 @@ -61,7 +73,7 @@ containing two hashes - storage root and codehash, which are both of 32 bytes. 248 is RLP byte which means there is `1 = 248 - 247` byte specifying the length of the remaining list. For example, in `[248,112,157,59,...]`, there are 112 byte after the second byte. -## Leaf key RLC +### Leaf key RLC In each row of the account leaf we compute an intermediate RLC of the whole leaf. The RLC after account leaf key row is stored in `acc` column. We check the stored value @@ -75,10 +87,10 @@ To prevent changing the key and setting `s_main.bytes[i]` (or `c_main.rlp1/c_mai `i > key_len + 1` to get the desired key RLC, we need to ensure that `s_main.bytes[i] = 0` for `i > key_len + 1`. -Note: the key length is always in s_main.bytes[0] here as opposed to storage -key leaf where it can appear in s_rlp2 too. This is because the account +Note: the key length is always in `s_main.bytes[0]` here as opposed to storage +key leaf where it can appear in `s_rlp2` too. This is because the account leaf contains nonce, balance, ... which makes it always longer than 55 bytes, -which makes a RLP to start with 248 (s_rlp1) and having one byte (in s_rlp2) +which makes a RLP to start with 248 (`s_rlp1`) and having one byte (in `s_rlp2`) for the length of the remaining stream. ### mult_diff @@ -87,7 +99,11 @@ When the account intermediate RLC is computed in the next row (nonce balance row to know the intermediate RLC and the randomness multiplier (`r` to some power) from the current row. The power of randomness `r` is determined by the key length - the intermediate RLC in the current row is computed as (key starts in `s_main.bytes[1]`): -`rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2}` + +``` +rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2} +``` + So the multiplier to be used in the next row is `r^{key_len + 2}`. `mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. @@ -182,15 +198,9 @@ so there will always be a branch / extension node (and thus placeholder branch). Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). Note that `c_main.bytes` columns are not used. -## Nonce balance constraints - -Let us observe the proof for the modification of the account nonce. Let us assume there is only -one account stored in the trie. We change the nonce for this account from 0 to 1. - -An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, -our circuit will only have 8 rows. +## Account leaf nonce balance constraints -The witness for our proof looks like (excluding selector columns): +An example rows of the account leaf are: ``` [248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] @@ -210,24 +220,11 @@ The witness for our proof looks like (excluding selector columns): [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] ``` -In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` and `S` balance in -`c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. +In `ACCOUNT_LEAF_NONCE_BALANCE_S` row (fourth row), there is `S` nonce stored in `s_main` +and `S` balance in `c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. -In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` and `C` balance in -`c_main`. We can see nonce in `C` proof is `1`. - -The two main things the circuit needs to check are: - * Everything is the same in `S` and `C`, except the nonce value. - * The change occurs at the proper account address. - -However, there are many other things to be checked, for example the RLP encoding and RLC accumulators. -The RLC accumulators are used to compute the RLC of the whole node, in this particular case, the RLC of -the account leaf. As an account leaf is distributed over multiple rows, we need to compute the intermediate -RLC in each row. - -All chips in the MPT circuit use the first gate to check the RLP encoding, -the computation of RLC, and selectors being of proper values (for example being -boolean). +In `ACCOUNT_LEAF_NONCE_BALANCE_C` row (fifth row), there is `C` nonce stored in `s_main` +and `C` balance in `c_main`. We can see nonce in `C` proof is `1`. The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named `Account leaf nonce balance RLC & RLP` are given below. @@ -354,7 +351,11 @@ nonce modification, we need to ensure `S` balance and `C` balance are the same. ### Leaf nonce acc mult (nonce long) When adding nonce bytes to the account leaf RLC we do: -`rlc_after_nonce = rlc_tmp + s_main.bytes[0] * mult_tmp + s_main.bytes[1] * mult_tmp * r + ... + s_main.bytes[k] * mult_tmp * r^k` + +``` +rlc_after_nonce = rlc_tmp + s_main.bytes[0] * mult_tmp + s_main.bytes[1] * mult_tmp * r + ... + s_main.bytes[k] * mult_tmp * r^k +``` + Note that `rlc_tmp` means the RLC after the previous row, while `mult_tmp` means the multiplier (power of randomness `r`) that needs to be used for the first byte in the current row. @@ -375,17 +376,30 @@ nonce bytes in the row. These are: `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, It is a bit confusing (we are limited with layout), but `c_main.rlp1` and `c_main.rlp2` are bytes that actually appear in the account leaf RLP stream before `s_main.bytes`. So we have: -`rlc_after_nonce = rlc_tmp + s_main.rlp1 * mult_tmp + s_main.rlp2 * mult_tmp * r + c_main.rlp1 * mult_tmp * r^2 + c_main.rlp2 * mult_tmp * r^3 + s_main.bytes[0] * mult_tmp * r^4 + ... + s_main.bytes[k] * mult_tmp * r^4 * r^k` + +``` +rlc_after_nonce = rlc_tmp + s_main.rlp1 * mult_tmp + s_main.rlp2 * mult_tmp * r + c_main.rlp1 * mult_tmp * r^2 + c_main.rlp2 * mult_tmp * r^3 + s_main.bytes[0] * mult_tmp * r^4 + ... + s_main.bytes[k] * mult_tmp * r^4 * r^k +``` + That means `mult_diff_nonce` needs to store `r^4 * r^{k+1}` and we continue computing the RLC as mentioned above: -`rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... + +``` +rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_nonce * r + ... +``` Let us observe the following example. [184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] Here: -`rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5` + +```rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5 +``` + And we continue computing the RLC: -`rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... ` + +``` +rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... +``` ### Leaf nonce acc mult (nonce short) @@ -397,10 +411,18 @@ as there are `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, and `s_ We need to prepare the multiplier that will be needed in the next row: `acc_mult_final`. We have the multiplier after nonce bytes were added to the RLC: `acc_mult_after_nonce`. Now, `acc_mult_final` depends on the number of balance bytes. -`rlc_after_balance = rlc_after_nonce + b1 * acc_mult_after_nonce + ... + bl * acc_mult_after_nonce * r^{l-1}` + +``` +rlc_after_balance = rlc_after_nonce + b1 * acc_mult_after_nonce + ... + bl * acc_mult_after_nonce * r^{l-1} +``` + Where `b1,...,bl` are `l` balance bytes. As with nonce, we do not know the length of balance bytes in advance. For this reason, we store `r^l` in `mult_diff_balance` and check whether: -`acc_mult_final = acc_mult_after_nonce * mult_diff_balance`. + +``` +acc_mult_final = acc_mult_after_nonce * mult_diff_balance +``` + Note that `mult_diff_balance` is not the last multiplier in this row, but the first in the next row (this is why there is `r^l` instead of `r^{l-1}`). @@ -466,7 +488,10 @@ The whole RLP length of the account leaf is specified in the account leaf key ro row, so we need to check that `s_main.rlp2` corresponds to the key length (in key row) and `s_main.rlp2` in nonce balance row. However, we need to take into account also the bytes where the lengths are stored: -`s_main.rlp2 (key row) - key_len - 1 (because key_len is stored in 1 byte) - s_main.rlp2 (nonce balance row) - 1 (because of s_main.rlp1) - 1 (because of s_main.rlp2) = 0` + +``` +s_main.rlp2 (key row) - key_len - 1 (because key_len is stored in 1 byte) - s_main.rlp2 (nonce balance row) - 1 (because of s_main.rlp1) - 1 (because of s_main.rlp2) = 0 +``` Example: ``` @@ -508,7 +533,7 @@ the balance length in advance. To prevent changing the balance and setting `c_ma Range lookups ensure that `s_main` and `c_main` columns are all bytes (0 - 255). -## Storage codehash constraints +## Account leaf storage codehash constraints The constraints in `account_leaf_storage_codehash.rs` apply to ACCOUNT_LEAF_STORAGE_CODEHASH_S and ACCOUNT_LEAF_STORAGE_CODEHASH_C rows. @@ -620,7 +645,7 @@ Range lookups ensure that `s_main` and `c_main` columns are all bytes (between 0 Note: `s_main.rlp1` and `c_main.rlp1` are not used. -## Drifted leaf (account in added branch) +## Account leaf in added branch (drifted leaf) constraints Sometimes `S` and `C` proofs are not of the same length. For example, when a new account `A1` is added, the following scenario might happen. Let us say that the account that is being added has the address @@ -774,7 +799,11 @@ When the full account intermediate RLC is computed, we need to know the intermediate RLC and the randomness multiplier (`r` to some power) from the key row. The power of randomness `r` is determined by the key length - the intermediate RLC in the current row is computed as (key starts in `s_main.bytes[1]`): -`rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2}` + +``` +rlc = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + key_bytes[0] * r^3 + ... + key_bytes[key_len-1] * r^{key_len + 2} +``` + So the multiplier to be used in the next row is `r^{key_len + 2}`. `mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. @@ -802,7 +831,7 @@ corresponds to this RLC is in the parent branch at `drifted_pos` position. Range lookups ensure that the value in the columns are all bytes (between 0 - 255). Note that `c_main.bytes` columns are not used. -## Non-existing account proof constraints +## Account leaf non-existing-account constraints The rows of the account leaf are the following: ``` @@ -933,3 +962,90 @@ for the length of the remaining stream. Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). Note that `c_main.bytes` columns are not used. + + +## Example + +Let us observe the proof for the modification of the account nonce. Let us assume there is only +one account stored in the trie. We change the nonce for this account from 0 to 1. + +An account leaf occupies 8 rows. Thus, in our example, where there is only one account in the trie, +our circuit will only have 8 rows. + +The witness for our proof looks like (excluding selector columns): + +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] + +[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +The rows are: +``` +ACCOUNT_LEAF_KEY_S +ACCOUNT_LEAF_KEY_C +ACCOUNT_NON_EXISTING +ACCOUNT_LEAF_NONCE_BALANCE_S +ACCOUNT_LEAF_NONCE_BALANCE_C +ACCOUNT_LEAF_STORAGE_CODEHASH_S +ACCOUNT_LEAF_STORAGE_CODEHASH_C +ACCOUNT_DRIFTED_LEAF +``` + +In `ACCOUNT_LEAF_NONCE_BALANCE_S` row, there is `S` nonce stored in `s_main` +and `S` balance in `c_main`. We can see nonce in `S` proof is `0 = 128 - 128`. + +In `ACCOUNT_LEAF_NONCE_BALANCE_C` row, there is `C` nonce stored in `s_main` +and `C` balance in `c_main`. We can see nonce in `C` proof is `1`. + +The two main things the circuit needs to check are: + * Everything is the same in `S` and `C`, except the nonce value. + * The change occurs at the proper account address. + +However, there are many other things to be checked, for example the RLP encoding and RLC accumulators. +The RLC accumulators are used to compute the RLC of the whole node, in this particular case the RLC of +the account leaf. As the account leaf is distributed over multiple rows, we need to compute +the intermediate RLC in each row. That means we compute the RLC after the first row, then starts +with this value in the second row, compute the RLC after the second row: + +``` +account_s_rlc = account_leaf_key_s_rlc + account_leaf_nonce_balance_s_rlc * mult1 + account_leaf_storage_codehash_s_rlc * mult2 +``` + +Note that `mult1` and `mult2` depend on the number of bytes in `account_leaf_key_s` and +`account_leaf_nonce_balance_s` bytes respectively. The RLC computed after the last row +and the RLC of the state trie hash (we only have this account in the trie) need +to be in the keccak table in the same row. + +When we check that the computed account address is the same as the given address where the change +should occur, all address nibles are in the account leaf (no nibbles used in the branches as there +are no branches). +We can see this in the `ACCOUNT_LEAF_KEY_S` row: + +``` +[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +``` + +There are `33 = 161 - 128` bytes that store the nibbles. The value 32 does not hold any nibble +(this is how nibbles are compressed in case of even nibbles), but then we have 32 bytes that +store the nibbles: +``` +[252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73] +``` + +Each of these bytes stores two nibbles. The address is computed as: +``` +address_rlc = 252 + 237 * r + ... + 73 * r^31 +``` \ No newline at end of file diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index d4b47d451..33ca015c1 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -139,7 +139,12 @@ struct ProofTypeCols { The columns in the struct falls into selectors category (as opposed to `MainCols` columns). `SelectorsChip` ensures there is exactly one type of proof selected. -## Constraints for different nodes +## Constraints for different types of nodes -Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). -Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file +All configs of the MPT circuit use the first gate to check the RLP encoding, +the computation of RLC, and the selectors being of proper values (for example being +boolean). + +The constraints are grouped according to different trie node types: + * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). + * Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file From ce0e79e4224ff89712d7fdbae664c5e05c700404 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 23 Aug 2022 16:38:10 +0200 Subject: [PATCH 39/92] fix --- specs/mpt/account-leaf.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index b5997b2a4..8f3820527 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -62,7 +62,7 @@ files: * `account_leaf_key_in_added_branch.rs` * `account_non_existing.rs` -In the last section, we give an example of nonce modification proof. +In the last section, we give an example of the nonce modification proof. ## Account key constraints @@ -389,10 +389,14 @@ rlc_after_nonce + b1 * mult_tmp * mult_diff_nonce + b2 * mult_tmp * mult_diff_no ``` Let us observe the following example. +``` [184 78 129 142 0 0 ... 0 248 76 135 28 5 107 201 118 120 59 0 0 ... 0] +``` + Here: -```rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5 +``` +rlc_after_nonce = rlc_tmp + 184 * mult_tmp + 78 * mult_tmp * r + 248 * mult_tmp * r^2 + 76 * mult_tmp * r^3 + 129 * mult_tmp * r^4 + 142 * mult_tmp * r^5 ``` And we continue computing the RLC: From 0b16f7d8e067d38c488234be1aa66560e2b59a5b Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 24 Aug 2022 16:29:29 +0200 Subject: [PATCH 40/92] documenting MPT branch --- specs/mpt/account-leaf.md | 2 +- specs/mpt/branch.md | 71 +++++++++++++++++++++++++++++++++++++++ 2 files changed, 72 insertions(+), 1 deletion(-) create mode 100644 specs/mpt/branch.md diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 8f3820527..eaf3caee2 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -79,7 +79,7 @@ In each row of the account leaf we compute an intermediate RLC of the whole leaf The RLC after account leaf key row is stored in `acc` column. We check the stored value is computed correctly. -## Zeros in s_main.bytes & c_main.rlp1 & c_main.rlp2 after key ends +### Zeros in s_main.bytes & c_main.rlp1 & c_main.rlp2 after key ends Key RLC is computed over all of `s_main.bytes[1], ..., s_main.bytes[31], c_main.rlp1, c_main.rlp2` because we do not know the key length in advance. diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md new file mode 100644 index 000000000..cdb901316 --- /dev/null +++ b/specs/mpt/branch.md @@ -0,0 +1,71 @@ +# Branch + +A branch occupies 19 rows: +``` +BRANCH.IS_INIT +BRANCH.IS_CHILD 0 +... +BRANCH.IS_CHILD 15 +BRANCH.IS_EXTENSION_NODE_S +BRANCH.IS_EXTENSION_NODE_C +``` + +Example: + +``` +[1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 1] +[0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 1] +[0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 1] +[0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] +``` + +Note that when `BRANCH.IS_CHILD` row presents a nil node, there is only one byte non-zero: +128 at `s_main.bytes[0] / c_main.bytes[0]`. + +## Branch + +The gate `Branch S and C equal at NON modified_node position` ensures that the only change in +`S` and `C` proof occur at `modified_node` (denoting which child of the branch is changed) position. +This is needed because the circuit allows only one change at at time. The gate has the following +constraints: + +### rlp2 + +We check `s_main.rlp2 = c_main.rlp2` everywhere except at `modified_node`. + +Note: We do not compare `s_main.rlp1 = c_main.rlp1` because there is no information +about branch. We use `rlp1` to store information about `S` branch and +`C` branch RLP length (see the gate below). + +### s = c when NOT is_modified + +Similarly as above for `rlp2` we check here that `s_main.bytes[i] = c_main.bytes[i]` +except at `modified_node`. + +### + + +### Range lookups + +Range lookups ensure that `s_main.bytes` and `c_main.bytes` columns are all bytes (between 0 - 255). + +Note: We do not check this for branch init row here. +Branch init row contains selectors related to drifted_pos, +modified_node, branch placeholders, extension node selectors. The constraints for these +selectors are in `branch_init.rs`. +Range lookups for extension node rows are in `extension_node_key.rs`. \ No newline at end of file From 4bff73fc5b16c7127aeb185180967e182f9652b3 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 26 Aug 2022 16:30:56 +0200 Subject: [PATCH 41/92] Documenting MPT branch and account leaf --- specs/mpt/account-leaf.md | 13 +++++++- specs/mpt/branch.md | 69 +++++++++++++++++++++++++++++++++++++-- specs/mpt/mpt-proof.md | 1 + 3 files changed, 80 insertions(+), 3 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index eaf3caee2..bf822f1d7 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -139,6 +139,12 @@ that is parallel to the placeholder branch. Note that there is a similar constraint for the cases when the account leaf is in the first level, but here we do not fetch for the intermediate RLC from the branch above as there is no branch above. +### Total number of address nibbles + +Total number of account address nibbles nees to be 64. This is to prevent having short addresses +which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That +means the trie could be manipulated to reach a desired root. + ### Previous key RLC When there is an account leaf after a placeholder branch, the intermediate key RLC needs to be @@ -935,7 +941,7 @@ Note that the constraints in `branch.rs` ensure that `sel1` is 1 if and only if at `modified_node` position. We check that in case of no wrong leaf in the non-existing-account proof, `sel1` is 1. -### Non existing account proof leaf address RLC (leaf in first level) +### Non existing account proof leaf address RLC Ensuring that the account does not exist when there is only one account in the state trie. Similarly as `Account address RLC` constraint but for the first level. @@ -945,6 +951,11 @@ Note 2: There is no nil_object case checked in this gate, because it is covered above. That is because when there is a branch (with nil object) in the first level, it automatically means the account leaf is not in the first level. +### Address of wrong leaf and the enquired address are of the same length + +This constraint is to prevent the attacker to prove that some account does not exist by setting +some arbitrary number of nibbles in the account leaf which would lead to a desired RLC. + ### s_main.bytes[i] = 0 when key ends Key RLC is computed over all of `s_main.bytes[1], ..., s_main.bytes[31], c_main.rlp1, c_main.rlp2` diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index cdb901316..fe5511043 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -39,7 +39,9 @@ Note that when `BRANCH.IS_CHILD` row presents a nil node, there is only one byte ## Branch -The gate `Branch S and C equal at NON modified_node position` ensures that the only change in +The gate +`Branch S and C equal at NON modified_node position & only two non-nil nodes when placeholder` +ensures that the only change in `S` and `C` proof occur at `modified_node` (denoting which child of the branch is changed) position. This is needed because the circuit allows only one change at at time. The gate has the following constraints: @@ -57,8 +59,71 @@ about branch. We use `rlp1` to store information about `S` branch and Similarly as above for `rlp2` we check here that `s_main.bytes[i] = c_main.bytes[i]` except at `modified_node`. -### +### Only two nil-nodes when placeholder branch + + This constraint applies for when we have a placeholder branch. +In this case, both branches are the same - the placeholder branch and its +parallel counterpart, which is not a placeholder, but a regular branch (newly added branch). +The regular branch has only two non-nil nodes, because the placeholder branch +appears only when an existing leaf drifts down into a newly added branch. +Besides an existing leaf, we have a leaf that was being added and that caused +a new branch to be added. So we need to check that there are exactly two non-nil nodes +(otherwise the attacker could add two or more new leaves at the same time). + +The non-nil nodes need to be at `is_modified` and `is_at_drifted_pos`, elsewhere +there have to be zeros. When there is no placeholder branch, this constraint is ignored. + +### RLP length + +We need to check that the length of the branch corresponds to the bytes at the beginning of +the RLP stream that specify the length of the RLP stream. There are three possible scenarios: + + 1. Branch (length `21 = 213 - 192`) with one byte of RLP meta data + ``` + [213,128,194,32,1,128,194,32,1,128,128,128,128,128,128,128,128,128,128,128,128,128] + ``` + + 2. Branch (length 83) with two bytes of RLP meta data + ``` + [248,81,128,128,... + ``` + + 3. Branch (length 340) with three bytes of RLP meta data + ``` + 249,1,81,128,16,... + ``` + +We specify which of the scenarios is in the current row as (note that `S` branch and +`C` branch could be of different length. `s_rlp1, s_rlp2` is used for `S` and +`s_main.bytes[0], s_main.bytes[1]` is used for `C`): +``` +rlp1, rlp2: 1, 1 means 1 RLP byte +rlp1, rlp2: 1, 0 means 2 RLP bytes +rlp1, rlp2: 0, 1 means 3 RLP bytes +``` + +### Not both zeros: rlp1, rlp2 + +There should never be `rlp1, rlp2: 0, 0` for `S` (we only have three cases, there is no case with +both being 0). + +### First branch children one RLP meta byte + +We check that the first branch children has properly stored the number of the remaining +bytes. For example, if there are 81 bytes in the branch and the first branch child +contains 1 byte, then it needs to store the value `80 = 81 - 1`. + +### Branch children node_index > 0 RLP + +We check that the non-first branch children has properly stored the number of the remaining +bytes. For example, if there are 81 bytes in the branch, the first branch child +contains 1 byte, the second child contains 33 bytes, then the third child +needs to store the value `81 - 1 - 33`. + +### Branch last child RLP length + In the final branch child `s_rlp1` and `c_rlp1` need to be 1 (because RLP length +specifies also ValueNode which occupies 1 byte). ### Range lookups diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index 33ca015c1..750908fbc 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -147,4 +147,5 @@ boolean). The constraints are grouped according to different trie node types: * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). + * Branch constraints documentation is in [branch.md](branch.md). * Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file From 67537644c4a0e487c6c9d13001ee16b21d92fda6 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 29 Aug 2022 16:43:36 +0200 Subject: [PATCH 42/92] MPT specs reformatted --- specs/mpt/account-leaf.md | 133 ++++++++++++++++++++++++-------------- specs/mpt/branch.md | 36 ++++++++--- 2 files changed, 110 insertions(+), 59 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index bf822f1d7..7f15ede95 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -66,14 +66,16 @@ In the last section, we give an example of the nonce modification proof. ## Account key constraints -### Account leaf key s_main.rlp1 = 248 +### Account leaf RLC after key + +#### Account leaf key s_main.rlp1 = 248 Account leaf always starts with 248 because its length is always longer than 55 bytes due to containing two hashes - storage root and codehash, which are both of 32 bytes. 248 is RLP byte which means there is `1 = 248 - 247` byte specifying the length of the remaining list. For example, in `[248,112,157,59,...]`, there are 112 byte after the second byte. -### Leaf key RLC +#### Leaf key RLC In each row of the account leaf we compute an intermediate RLC of the whole leaf. The RLC after account leaf key row is stored in `acc` column. We check the stored value @@ -109,11 +111,13 @@ So the multiplier to be used in the next row is `r^{key_len + 2}`. `mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes[0] - 128`. -### Account leaf key with even nibbles: s_main.bytes[1] = 32 +### Account leaf address RLC & nibbles count (leaf not in first level, branch not placeholder) + +#### Account leaf key with even nibbles: s_main.bytes[1] = 32 If there is an even number of nibbles in the leaf, `s_main.bytes[1]` need to be 32. -### Address RLC +#### Address RLC Account leaf contains the remaining nibbles of the account address. Combining the path of the leaf in the trie and these remaining nibbles needs to be the same as the account @@ -127,7 +131,7 @@ The intermediate RLC is retrieved from the last branch above the account leaf - presents the RLC after the path to the leaf is considered. After this, the bytes (nibbles in a compacted form) in the leaf have to be added to the RLC. -### Computed account address RLC same as value in address_rlc column +#### Computed account address RLC same as value in address_rlc column The computed key RLC needs to be the same as the value in `address_rlc` column. This seems to be redundant (we could write one constraint instead of two: @@ -139,13 +143,19 @@ that is parallel to the placeholder branch. Note that there is a similar constraint for the cases when the account leaf is in the first level, but here we do not fetch for the intermediate RLC from the branch above as there is no branch above. -### Total number of address nibbles +#### Total number of address nibbles Total number of account address nibbles nees to be 64. This is to prevent having short addresses which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That means the trie could be manipulated to reach a desired root. -### Previous key RLC +### Account leaf address RLC & nibbles count (leaf in first level) + +Similar constraints as in the gate described above, but for account leaf being in the first level. + +### Previous level address RLC + +#### Previous key RLC When there is an account leaf after a placeholder branch, the intermediate key RLC needs to be fetched from the branch above the placeholder branch. That would require a rotation over two @@ -159,12 +169,16 @@ to `accs.acc_c.rlc`. This enables us to compute the address RLC after a branch p (see the constraint below) by not using rotations over two levels (we have the intermediate RLC in the current row). -### Previous key RLC mult +#### Previous key RLC mult We need to ensure that the key RLC mult from the branch above the placeholder branch is copied to `accs.acc_c.mult`. -### Account address RLC after branch placeholder +### Account leaf address RLC & nibbles count (after placeholder) + +This gate is again similar to the gate `Account leaf address RLC & nibbles count (leaf not in first level, branch not placeholder)`, but with a leaf being after a branch placeholder. + +#### Account address RLC after branch placeholder The example layout for a branch placeholder looks like (placeholder could be in `C` proof too): ``` @@ -184,7 +198,9 @@ we still need properly computed `key_rlc` to reuse it in `account_leaf_key_in_ad Note: `key_rlc - address_rlc != 0` when placeholder branch. -### If account delete, there is either a placeholder leaf or a placeholder branch +### Account delete + +#### If account delete, there is either a placeholder leaf or a placeholder branch We need to make sure there is no leaf when account is deleted. Two possible cases: 1. Account leaf is deleted and there is a nil object in branch. In this case we have @@ -235,7 +251,9 @@ and `C` balance in `c_main`. We can see nonce in `C` proof is `1`. The constraints for the first gate of `AccountLeafNonceBalanceChip` which is named `Account leaf nonce balance RLC & RLP` are given below. -### Bool check is_nonce_long & Bool check is_balance_long +### Account leaf nonce balance RLC & RLP + +#### Bool check is_nonce_long & Bool check is_balance_long If nonce (same holds for balance) is smaller or equal to 128, then it will occupy only one byte: `s_main.bytes[0]` (`c_main.bytes[0]` for balance). @@ -260,7 +278,7 @@ is used to mark whether nonce is of 1 byte (short) or more than 1 byte (long). Analogously, `sel2` holds the information whether balance is long or short. Bool check `is_balance_long` constraint ensures the `sel2` value is boolean. -### s_main.bytes[i] = 0 for i > 0 when is_nonce_short +#### s_main.bytes[i] = 0 for i > 0 when is_nonce_short It is important that there are 0s in `s_main.bytes` after the nonce bytes end. When nonce is short (1 byte), like in `[184,70,1,0,...]`, the constraint is simple: @@ -281,12 +299,12 @@ But instead of 129 we could have 130 or some other value in `s_main.bytes[0]`. F reason, the constraints are implemented using `key_len_lookup`, more about this approach in what follows. -### c_main.bytes[i] = 0 for i > 0 when is_balance_short +#### c_main.bytes[i] = 0 for i > 0 when is_balance_short The balance constraints are analogous to the nonce constraints described above. The difference is that balance is stored in `c_main.bytes`. -### is_wrong_leaf is bool +#### is_wrong_leaf is bool When `non_existing_account_proof` proof type (which can be of two subtypes: with wrong leaf and without wrong leaf, more about it below), the `is_wrong_leaf` flag specifies whether @@ -300,11 +318,11 @@ leaf for lookups and to know when to check that parent branch has a nil. In `is_wrong_leaf is bool` we only check that `is_wrong_leaf` is a boolean values. Other wrong leaf related constraints are in other gates. -### is_wrong_leaf needs to be 0 when not in non_existing_account proof +#### is_wrong_leaf needs to be 0 when not in non_existing_account proof `is_wrong_leaf` can be set to 1 only when the proof is not non_existing_account proof. -### Nonce RLC long +#### Nonce RLC long Besides having nonce (its bytes) stored in `s_main.bytes`, we also have the RLC of nonce bytes stored in `s_mod_node_hash_rlc` column. The value in this column @@ -312,13 +330,13 @@ is to be used by lookups. `Nonce RLP long` constraint ensures the RLC of a nonce is computed properly when nonce is long. -### Nonce RLC short +#### Nonce RLC short Similarly as in `Nonce RLP long` constraint, `Nonce RLP short` constraint ensures the RLC of a nonce is computed properly when nonce is short. -### Balance RLC long +#### Balance RLC long Besides having balance (its bytes) stored in `c_main.bytes`, we also have the RLC of nonce bytes stored in `c_mod_node_hash_rlc` column. The value in this column @@ -326,35 +344,39 @@ is to be used by lookups. `Balance RLP long` constraint ensures the RLC of a balance is computed properly when balance is long. -### Balance RLC short +#### Balance RLC short Similarly as in `Balance RLP long` constraint, `Balance RLP short` constraint ensures the RLC of a balance is computed properly when balance is short. -### S nonce RLC is correctly copied to C row +#### S nonce RLC is correctly copied to C row To enable lookup for nonce modification we need to have `S` nonce and `C` nonce in the same row. For this reason, `S` nonce RLC is copied to `sel1` column in `C` row. This constraint checks whether the value is properly copied. -### S balance RLC is correctly copied to C row +#### S balance RLC is correctly copied to C row To enable lookup for balance modification we need to have `S` balance and `C` balance in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. This constraint checks whether the value is properly copied. -### If storage or balance modification: S nonce = C nonce +#### If storage or balance modification: S nonce = C nonce We need to ensure there is only one modification at a time. If there is storage or balance modification, we need to ensure `S` nonce and `C` nonce are the same. -### If storage or nonce modification: S balance = C balance +#### If storage or nonce modification: S balance = C balance We need to ensure there is only one modification at a time. If there is storage or nonce modification, we need to ensure `S` balance and `C` balance are the same. -### Leaf nonce acc mult (nonce long) +#### Leaf nonce balance RLC + +Computed RLC after nonce balance row is the same as the stored RLC value. + +#### Leaf nonce RLC mult (nonce long) When adding nonce bytes to the account leaf RLC we do: @@ -411,12 +433,12 @@ And we continue computing the RLC: rlc_after_nonce + 135 * mult_tmp * mult_diff_nonce + 28 + mult_tmp * mult_diff_nonce * r + ... ``` -### Leaf nonce acc mult (nonce short) +#### Leaf nonce RLC mult (nonce short) When nonce is short (occupying only one byte), we know in advance that `mult_diff_nonce = r^5` as there are `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, and `s_main.bytes[0]` bytes to be taken into account. -### Leaf balance acc mult (balance long) +#### Leaf balance RLC mult (balance long) We need to prepare the multiplier that will be needed in the next row: `acc_mult_final`. We have the multiplier after nonce bytes were added to the RLC: `acc_mult_after_nonce`. @@ -436,12 +458,12 @@ acc_mult_final = acc_mult_after_nonce * mult_diff_balance Note that `mult_diff_balance` is not the last multiplier in this row, but the first in the next row (this is why there is `r^l` instead of `r^{l-1}`). -### Leaf balance acc mult (balance short) +#### Leaf balance RLC mult (balance short) When balance is short, there is only one balance byte and we know in advance that the multiplier changes only by factor `r`. -### Leaf nonce balance s_main.rlp1 = 184 +#### Leaf nonce balance s_main.rlp1 = 184 `s_main.rlp1` needs always be 184. This is RLP byte meaning that behind this byte there is a string of length more than 55 bytes and that only `1 = 184 - 183` byte is reserved @@ -454,7 +476,7 @@ does not use `s_main.rlp1` and `s_main.rlp2`. Note that it uses `s_main` for nib because the account address is computed using nibbles and this account address needs to be as required by a lookup. -### Leaf nonce balance c_main.rlp1 = 248 +#### Leaf nonce balance c_main.rlp1 = 248 `c_main.rlp1` needs to always be 248. This is RLP byte meaning that behind this byte there is a list which has one byte that specifies the length - `at c_main.rlp2`. @@ -472,7 +494,7 @@ Example: ``` 248 at c_main.rlp1 means one byte for length. This byte is 76, meaning there are 76 bytes after it. -### Leaf nonce balance s_main.rlp2 - c_main.rlp2 +#### Leaf nonce balance s_main.rlp2 - c_main.rlp2 `c_main.rlp2` specifies the length of the remaining RLP string. Note that the string is `s_main.rlp1`, `s_main.rlp2`, `c_main.rlp1`, `c_main.rlp2`, nonce bytes, balance bytes. @@ -485,12 +507,12 @@ Example: ``` We can see: `78 - 76 - 1 - 1 = 0`. -### Lean nonce balance c_main.rlp2 +#### Lean nonce balance c_main.rlp2 `c_main.rlp2 = #(nonce bytes) + #(balance bytes) + 32 + 32`. Note that `32 + 32` means the number of codehash bytes + the number of storage root bytes. -### Account leaf RLP length +#### Account leaf RLP length The whole RLP length of the account leaf is specified in the account leaf key row with `s_main.rlp1 = 248` and `s_main.rlp2`. `s_main.rlp2` in key row actually specifies the length. @@ -562,24 +584,26 @@ We can see `s_main.rlp2 = 160` which specifies that the length of the following In `ACCOUNT_LEAF_STORAGE_CODEHASH_C` example row, there is `C` storage root stored in `s_main.bytes` and `C` codehash in `c_main.bytes`. Both these values are hash outputs. -### Account leaf storage codehash s_main.rlp2 = 160 +### Account leaf storage codehash + +#### Account leaf storage codehash s_main.rlp2 = 160 `s_main.rlp2` stores the RLP length of the hash of storage root. The hash output length is 32 and thus `s_main.rlp2` needs to be `160 = 128 + 32`. -### Account leaf storage codehash c_main.rlp2 = 160 +#### Account leaf storage codehash c_main.rlp2 = 160 `c_main.rlp2` stores the RLP length of the codehash. The hash output length is 32 and thus `c_main.rlp2` needs to be `160 = 128 + 32`. -### Storage root RLC +#### Storage root RLC `s_main.bytes` contain storage root hash, but to simplify lookups we need to have the RLC of storage root hash stored in some column too. The RLC is stored in `s_mod_node_hash_rlc`. We need to ensure that this value corresponds to the RLC of `s_main.bytes`. -### Codehash RLC +#### Codehash RLC `c_main.bytes` contain codehash, but to simplify lookups we need to have the RLC of the codehash stored in some column too. The RLC is stored in @@ -594,14 +618,14 @@ For this reason, S storage root RLC is copied to `sel1` column in C row. Note: we do not need such constraint for codehash as the codehash never changes. -### If nonce / balance: storage_root_s = storage_root_c +#### If nonce / balance: storage_root_s = storage_root_c If the modification is nonce or balance modification, the storage root needs to stay the same. Note: `is_non_existing_account_proof` uses only `S` proof. -### If nonce / balance / storage mod: codehash_s = codehash_c +#### If nonce / balance / storage mod: codehash_s = codehash_c If the modification is nonce or balance or storage modification (that means always except for `is_account_delete_mod` and `is_non_existing_account_proof`), @@ -609,13 +633,12 @@ the storage root needs to stay the same. Note: `is_non_existing_account_proof` uses only `S` proof. -### Account leaf storage codehash RLC +#### Account leaf storage codehash RLC The RLC of the account leaf needs to be properly computed. We take the intermediate RLC computed in the `ACCOUNT_LEAF_NONCE_BALANCE_*` row and add the bytes from the current row. The computed RLC needs to be the same as the stored value in `acc_s` row. - ### Account first level leaf without branch - compared to state root Check hash of an account leaf to be state root when the leaf is without a branch (the leaf @@ -787,13 +810,13 @@ are compressed as: `[55, 236, 125, ...]`. In the last row, the nibbles are compr This nibble is not present in the account `A` when moved down into `Branch2` because 7 is the position where the account `A` is placed in `Branch2`. -The constraints for a drifted leaf are presented below. +### Account drifted leaf: intermediate leaf RLC after key" -### Account leaf key s_rlp1 = 248 +#### Account leaf key s_rlp1 = 248 `s_rlp1` is always 248 because the account leaf is always longer than 55 bytes. -### Leaf key intermediate RLC +#### Account leaf key intermediate RLC We check that the leaf RLC is properly computed. RLC is then taken and nonce/balance & storage root / codehash values are added to the RLC (note that nonce/balance @@ -822,7 +845,9 @@ That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes Note that the key length is different than the on of the leaf before it drifted (by one nibble if a branch is added, by multiple nibbles if extension node is added). -### Drifted leaf key RLC same as the RLC of the leaf before drift +### Account drifted leaf key RLC + +#### Drifted leaf key RLC same as the RLC of the leaf before drift The key RLC of the drifted leaf needs to be the same as the key RLC of the leaf before the drift - the nibbles are the same in both cases, the difference is that before the @@ -905,7 +930,13 @@ in the rows above (except for the `ACCOUNT_NON_EXISTING` row) and continues with Note that the selector (being 1 in this case) at `s_main.rlp1` specifies whether it is wrong leaf or nil case. -### Account address RLC +### Non existing account proof leaf address RLC (leaf not in first level, branch not placeholder) + +#### Account leaf key acc s_advice1 + +If there is an even number of nibbles stored in a leaf, `s_advice1` needs to be 32. + +#### Account address RLC Differently as for the other proofs, the account-non-existing proof compares `address_rlc` with the address stored in `ACCOUNT_NON_EXISTING` row, not in `ACCOUNT_LEAF_KEY` row. @@ -919,22 +950,22 @@ There is a complementary constraint that makes sure the remaining nibbles are di and the non-existing account (in the case of wrong leaf, while the case with nil being in branch is different). -### Wrong leaf sum check +#### Wrong leaf sum check We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed value is the same as the one stored in `accs.key.rlc` column. -### Wrong leaf sum_prev check +#### Wrong leaf sum_prev check We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed value is the same as the one stored in `accs.key.mult` column. -### Address of a leaf is different than address being inquired (corresponding to address_rlc) +#### Address of a leaf is different than address being inquired (corresponding to address_rlc) The address in the `ACCOUNT_LEAF_KEY` row and the address in the `ACCOUNT_NON_EXISTING` row are indeed different. -### Nil object in parent branch +#### Nil object in parent branch In case when there is no wrong leaf, we need to check there is a nil object in the parent branch. Note that the constraints in `branch.rs` ensure that `sel1` is 1 if and only if there is a nil object @@ -951,6 +982,10 @@ Note 2: There is no nil_object case checked in this gate, because it is covered above. That is because when there is a branch (with nil object) in the first level, it automatically means the account leaf is not in the first level. +### Non existing account proof leaf address RLC (leaf in first level) + +Similarly as the gate above, but for the account leaf being in the first level. + ### Address of wrong leaf and the enquired address are of the same length This constraint is to prevent the attacker to prove that some account does not exist by setting diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index fe5511043..e816ece78 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -39,14 +39,15 @@ Note that when `BRANCH.IS_CHILD` row presents a nil node, there is only one byte ## Branch +### Branch S and C equal at NON modified_node position & only two non-nil nodes when placeholder + The gate `Branch S and C equal at NON modified_node position & only two non-nil nodes when placeholder` ensures that the only change in `S` and `C` proof occur at `modified_node` (denoting which child of the branch is changed) position. -This is needed because the circuit allows only one change at at time. The gate has the following -constraints: +This is needed because the circuit allows only one change at at time. -### rlp2 +#### rlp2 We check `s_main.rlp2 = c_main.rlp2` everywhere except at `modified_node`. @@ -54,12 +55,12 @@ Note: We do not compare `s_main.rlp1 = c_main.rlp1` because there is no informat about branch. We use `rlp1` to store information about `S` branch and `C` branch RLP length (see the gate below). -### s = c when NOT is_modified +#### s = c when NOT is_modified Similarly as above for `rlp2` we check here that `s_main.bytes[i] = c_main.bytes[i]` except at `modified_node`. -### Only two nil-nodes when placeholder branch +#### Only two nil-nodes when placeholder branch This constraint applies for when we have a placeholder branch. In this case, both branches are the same - the placeholder branch and its @@ -102,29 +103,44 @@ rlp1, rlp2: 1, 0 means 2 RLP bytes rlp1, rlp2: 0, 1 means 3 RLP bytes ``` -### Not both zeros: rlp1, rlp2 +#### Not both zeros: rlp1, rlp2 There should never be `rlp1, rlp2: 0, 0` for `S` (we only have three cases, there is no case with both being 0). -### First branch children one RLP meta byte +#### First branch children one RLP meta byte We check that the first branch children has properly stored the number of the remaining bytes. For example, if there are 81 bytes in the branch and the first branch child contains 1 byte, then it needs to store the value `80 = 81 - 1`. -### Branch children node_index > 0 RLP +#### Branch children node_index > 0 RLP We check that the non-first branch children has properly stored the number of the remaining bytes. For example, if there are 81 bytes in the branch, the first branch child contains 1 byte, the second child contains 33 bytes, then the third child needs to store the value `81 - 1 - 33`. -### Branch last child RLP length +#### Branch last child RLP length - In the final branch child `s_rlp1` and `c_rlp1` need to be 1 (because RLP length +In the final branch child `s_rlp1` and `c_rlp1` need to be 1 (because RLP length specifies also ValueNode which occupies 1 byte). +### Branch children selectors + +#### is_branch_child after is_branch_init + +If we have `is_branch_init` in the previous row, we have `is_branch_child = 1` in the current row. + +#### node_index = 0 after is_branch_init + +We could have only one constraint using sum, but then we would need +to limit `node_index` (to prevent values like -1). Now, `node_index` is +limited by ensuring its first value is 0, its last value is 15, +and it is being increased by 1. +If we have `is_branch_init` in the previous row, we have +`node_index = 0` in the current row. + ### Range lookups Range lookups ensure that `s_main.bytes` and `c_main.bytes` columns are all bytes (between 0 - 255). From 295832922198c81b60bd8db0242c11f7b6efe30f Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 1 Sep 2022 16:15:44 +0200 Subject: [PATCH 43/92] MPT branch docs updated --- specs/mpt/branch.md | 267 +++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 266 insertions(+), 1 deletion(-) diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index e816ece78..1d894464c 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -141,6 +141,114 @@ and it is being increased by 1. If we have `is_branch_init` in the previous row, we have `node_index = 0` in the current row. +#### Last branch child node_index + +When `is_branch_child` changes back to 0, previous `node_index` needs to be 15. + +#### is_last_child index + +When `node_index` is not 15, `is_last_child` needs to be 0. + +#### is_last_child when node_index = 15 + +When `node_index` is 15, `is_last_child` needs to be 1. + +#### node_index increasing for branch children + +`node_index` is increased by 1 for each is_branch_child node. + +#### modified_node the same for all branch children + +`modified_node` (the index of the branch child that is modified) +needs to be the same for all branch nodes. + +#### drifted_pos the same for all branch children + +`drifted_pos` (the index of the branch child that drifted down into a newly added branch) +needs to be the same for all branch nodes. + +#### NOT is_branch_placeholder_s: s_mod_node_hash_rlc corresponds to s_main.bytes at modified pos + +For a branch placeholder we do not have any constraints. However, in the parallel +(regular) branch we have an additional constraint (besides `is_modified` row +corresponding to `mod_nod_hash_rlc`) in this case: `is_at_drifted_pos main.bytes RLC` +is stored in the placeholder `mod_node_hash_rlc`. For example, if there is a placeholder +branch in `S` proof, we have: +* `is_modified c_main.bytes RLC = c_mod_node_hash_rlc` +* `is_at_drifted_pos c_main.bytes RLC = s_mod_node_hash_rlc` +That means we simply use `mod_node_hash_rlc` column (because it is not occupied) +in the placeholder branch for `is_at_drifted_pos main.bytes RLC` of +the regular parallel branch. + +When `S` branch is NOT a placeholder, `s_main.bytes RLC` corresponds to the value +stored in `accumulators.s_mod_node_rlc` in `is_modified` row. + +#### is_branch_placeholder_s: s_mod_node_hash_rlc corresponds to c_main.bytes at drifted pos + +When `S` branch is a placeholder, `c_main.bytes RLC` corresponds to the value +stored in `accumulators.s_mod_node_rlc` in `is_at_drifted_pos` row. + +#### NOT is_branch_placeholder_c: c_mod_node_hash_rlc corresponds to c_main.bytes at modified pos + +When `C` branch is NOT a placeholder, `c_main.bytes RLC` corresponds to the value +stored in `accumulators.c_mod_node_rlc` in `is_modified` row. + +#### is_branch_placeholder_c: c_mod_node_hash_rlc corresponds to s_main.bytes at drifted pos + +When `C` branch is a placeholder, `s_main.bytes RLC` corresponds to the value +stored in `accumulators.c_mod_node_rlc` in `is_at_drifted_pos` row. + +#### is_modified = 1 only for modified node + +`is_modified` is boolean (booleanity is checked in `selectors.rs`): + * 0 when `node_index != modified_node` + * 1 when `node_index == modified_node` + +#### is_at_drifted_pos = 1 only for modified node + +`is_at_drifted_pos` is boolean (booleanity is checked in `selectors.rs`): + * 0 when `node_index != drifted_pos` + * 1 when `node_index == drifted_pos` + +### Branch placeholder selectors + +#### Bool check is_branch_placeholder_s + +`is_branch_placeholder_s` needs to be boolean. + +#### Bool check is_branch_placeholder_c + +`is_branch_placeholder_c` needs to be boolean. + +#### Bool check is_branch_non_hashed_s + +`is_branch_non_hashed_s` needs to be boolean. + +#### Bool check is_branch_non_hashed_c + +`is_branch_non_hashed_c` needs to be boolean. + +### Branch number of nibbles (not first level) + +The cell `s_main.bytes[NIBBLES_COUNTER_POS - RLP_NUM]` in branch init row stores the number of +nibbles used up to this point (up to this branch). If a regular branch, the counter increases only +by 1 as only one nibble is used to determine the position of `modified_node` in a branch. +On the contrary, when it is an extension node the counter increases by the number of nibbles +in the extension key and the additional nibble for the position in a branch (this constraint +is in `extension_node.rs` though). + +### Branch number of nibbles (first level) + +If we are in the first level of the trie, `nibbles_count` needs to be 1. + +#### nibbles_count first level account + +If branch is in the first level of the account trie, `nibbles_count` needs to be 1. + +#### nibbles_count first level storage + +If branch is in the first level of the storage trie, `nibbles_count` needs to be 1. + ### Range lookups Range lookups ensure that `s_main.bytes` and `c_main.bytes` columns are all bytes (between 0 - 255). @@ -149,4 +257,161 @@ Note: We do not check this for branch init row here. Branch init row contains selectors related to drifted_pos, modified_node, branch placeholders, extension node selectors. The constraints for these selectors are in `branch_init.rs`. -Range lookups for extension node rows are in `extension_node_key.rs`. \ No newline at end of file +Range lookups for extension node rows are in `extension_node_key.rs`. + +## Branch hash in parent + +A branch occupies 19 rows: +BRANCH.IS_INIT +BRANCH.IS_CHILD 0 +... +BRANCH.IS_CHILD 15 +BRANCH.IS_EXTENSION_NODE_S +BRANCH.IS_EXTENSION_NODE_C + +Example: + +[1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 1] +[0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 1] +[0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 1] +[0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] + +The constraints in this file check whether the RLC of the whole branch is in its parent node +at the proper position. The RLC is computed over the first 17 rows (the last 2 rows are reserved +for the cases when the parent of the branch is an extension node). + +Let us say we have the following situation: + +``` +Branch1: + node1_0 node3_0_RLC + ... node3_0_RLC + node1_15 node3_0_RLC +Branch2 + node2_0 + ... + node2_15 +``` + +Let us say we are checking `Branch2` to be at the proper position in `Branch1`. +We compute `Branch2` RLC (the constraints for ensuring the proper RLC computation are in `branch_rlc.rs`). +Let us say the `modified_node = 3` in `Branch1`. That means there is `node3_0_RLC` stored in all 16 +rows. We need to check that `(Branch2_RLC, node3_0_RLC)` is in the Keccak table which would mean +that `hash(Branch2) = node3_0`. + +### Branch in first level of account trie - hash compared to root + +When branch is in the first level of the account trie, we need to check whether +`hash(branch) = account_trie_root`. We do this by checking whether +`(branch_RLC, account_trie_root_RLC)` is in the Keccak table. + +Note: branch in the first level cannot be shorter than 32 bytes (it is always hashed). + +### Branch hash in parent branch + +This is the scenario described at the top of the file. +When branch is in some other branch, we need to check whether +`hash(branch) = parent_branch_modified_node`. We do this by checking whether +`(branch_RLC, parent_branch_modified_node_RLC)` is in the Keccak table. + +### NON-HASHED branch hash in parent branch + +Similar as the gate above, but here the branch is not hashed. +Instead of checking `hash(branch) = parent_branch_modified_node`, we check whether +`branch_RLC = parent_branch_modified_node_RLC`. + +## Branch init + +A branch occupies 19 rows: +BRANCH.IS_INIT +BRANCH.IS_CHILD 0 +... +BRANCH.IS_CHILD 15 +BRANCH.IS_EXTENSION_NODE_S +BRANCH.IS_EXTENSION_NODE_C + +Example: + +[1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 1] +[0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 1] +[0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 1] +[0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] + +The constraints in `branch_init.rs` check whether the RLC of the branch init row (first branch row) +is computed correctly. + +There are three possible cases: +1. Branch (length 21 = 213 - 192) with one byte of RLP meta data + `[213,128,194,32,1,128,194,32,1,128,128,128,128,128,128,128,128,128,128,128,128,128]` + In this case the init row looks like (specifying only for `S`, we put `x` for `C`): + `[1,1,x,x,213,0,0,...]` + The RLC is simply `213`. + +2. Branch (length 83) with two bytes of RLP meta data + `[248,81,128,128,...]` + In this case the init row looks like (specifying only for `S`, we put `x` for `C`): + `[1,0,x,x,248,81,0,...]` + The RLC is `248 + 81*r`. + + +3. Branch (length 340) with three bytes of RLP meta data + `[249,1,81,128,16,...]` + In this case the init row looks like (specifying only for `S`, we put `x` for `C`): + `[1,0,x,x,249,1,81,...]` + The RLC is `249 + 1*r + 81*r^2`. + +We specify the case as (note that `S` branch and +`C` branch can be of different length. `s_rlp1, s_rlp2` is used for `S` and +`s_main.bytes[0], s_main.bytes[1]` is used for `C`): +``` +rlp1, rlp2: 1, 1 means 1 RLP byte +rlp1, rlp2: 1, 0 means 2 RLP bytes +rlp1, rlp2: 0, 1 means 3 RLP bytes +``` + +The example branch init above is the second case (two RLP meta bytes). + +Note: the constraints for the selectors in branch init row to be boolean are in `branch.rs` +and `extension_node.rs`. + +### Branch init RLC + +The RLC of the init branch comprises 1, 2, or 3 bytes. This gate ensures the RLC +is computed properly in each of the three cases. It also ensures that the values +that specify the case are boolean. + + +### Range lookups + +Range lookups ensure that the values in the used columns are all bytes (between 0 - 255). +Note: range lookups for extension node rows are in `extension_node_key.rs`. From be4bdec4070af7ef860b6dfb6fc6375d4f5d33c0 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 2 Sep 2022 16:25:02 +0200 Subject: [PATCH 44/92] branch key docs; proof type update --- specs/mpt/account-leaf.md | 16 +++- specs/mpt/branch.md | 156 +++++++++++++++++++++++++++++++++++++- specs/mpt/mpt-proof.md | 16 +++- 3 files changed, 183 insertions(+), 5 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 7f15ede95..a087ba50c 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -367,11 +367,19 @@ This constraint checks whether the value is properly copied. We need to ensure there is only one modification at a time. If there is storage or balance modification, we need to ensure `S` nonce and `C` nonce are the same. +Note: For `is_non_existing_account_proof` we do not need this constraint, +`S` and `C` proofs are the same and we need to do a lookup into only one +(the other one could really be whatever). Similarly for `is_codehash_proof`. + #### If storage or nonce modification: S balance = C balance We need to ensure there is only one modification at a time. If there is storage or nonce modification, we need to ensure `S` balance and `C` balance are the same. +Note: For `is_non_existing_account_proof` we do not need this constraint, +`S` and `C` proofs are the same and we need to do a lookup into only one +(the other one could really be whatever). Similarly for `is_codehash_proof`. + #### Leaf nonce balance RLC Computed RLC after nonce balance row is the same as the stored RLC value. @@ -623,7 +631,9 @@ Note: we do not need such constraint for codehash as the codehash never changes. If the modification is nonce or balance modification, the storage root needs to stay the same. -Note: `is_non_existing_account_proof` uses only `S` proof. +Note: For `is_non_existing_account_proof` we do not need this constraint, +`S` and `C` proofs are the same and we need to do a lookup into only one +(the other one could really be whatever). Similarly for `is_codehash_proof`. #### If nonce / balance / storage mod: codehash_s = codehash_c @@ -631,7 +641,9 @@ If the modification is nonce or balance or storage modification (that means always except for `is_account_delete_mod` and `is_non_existing_account_proof`), the storage root needs to stay the same. -Note: `is_non_existing_account_proof` uses only `S` proof. +Note: For `is_non_existing_account_proof` we do not need this constraint, +`S` and `C` proofs are the same and we need to do a lookup into only one +(the other one could really be whatever). Similarly for `is_codehash_proof`. #### Account leaf storage codehash RLC diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index 1d894464c..5ade57ec1 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -262,15 +262,18 @@ Range lookups for extension node rows are in `extension_node_key.rs`. ## Branch hash in parent A branch occupies 19 rows: +``` BRANCH.IS_INIT BRANCH.IS_CHILD 0 ... BRANCH.IS_CHILD 15 BRANCH.IS_EXTENSION_NODE_S BRANCH.IS_EXTENSION_NODE_C +``` Example: +``` [1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] @@ -290,6 +293,7 @@ Example: [0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] +``` The constraints in this file check whether the RLC of the whole branch is in its parent node at the proper position. The RLC is computed over the first 17 rows (the last 2 rows are reserved @@ -338,15 +342,18 @@ Instead of checking `hash(branch) = parent_branch_modified_node`, we check wheth ## Branch init A branch occupies 19 rows: +``` BRANCH.IS_INIT BRANCH.IS_CHILD 0 ... BRANCH.IS_CHILD 15 BRANCH.IS_EXTENSION_NODE_S BRANCH.IS_EXTENSION_NODE_C +``` Example: +``` [1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] @@ -366,6 +373,7 @@ Example: [0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] +``` The constraints in `branch_init.rs` check whether the RLC of the branch init row (first branch row) is computed correctly. @@ -410,8 +418,154 @@ The RLC of the init branch comprises 1, 2, or 3 bytes. This gate ensures the RLC is computed properly in each of the three cases. It also ensures that the values that specify the case are boolean. - ### Range lookups Range lookups ensure that the values in the used columns are all bytes (between 0 - 255). Note: range lookups for extension node rows are in `extension_node_key.rs`. + +## Branch key + +The constraints in this `branch_key.rs` checks whether the key RLC is being properly +computed using `modified_node`. Note that `modified_node` presents the branch node +to be modified and is one of the nibbles of a key. + +Let us have the following scenario: + +``` +Branch1: + node1_0 + node1_1 <- modified_node + ... + node1_15 +Branch2 + node2_0 + ... + node2_7 <- modified_node + ... + node2_15 +Branch3 + node3_0 + ... + node3_5 <- modified_node + ... + node3_15 +Branch4 + node4_0 + ... + node4_11 <- modified_node + ... + node4_15 +Leaf1 +``` + +We have four branches and finally a leaf in the fourth branch. The modified nodes are: `1, 7, 5, 11`. +The modified nodes occupy two bytes, the remaining 30 bytes are stored in `Leaf1`: +`b_0, ..., b_29`. + +The key at which the change occurs is thus: `1 * 16 + 7, 5 * 16 + 11, b_0, ..., b_29`. +The RLC of the key is: `(1 * 16 + 7) + (5 * 16 + 11) * r + b_0 * r^2 + b_29 * r^31`. + +In each branch we check whether the intermediate RLC is computed correctly. The intermediate +values are stored in `accumulators.key`. There is always the actual RLC value and the multiplied +that is to be used when adding the next summand: `accumulators.key.rlc, accumulators.key.mult`. + +For example, in `Branch1` we check whether the intermediate RLC is `1 * 16`. +In `Branch2`, we check whether the intermediate RLC is `rlc_prev_branch_init_row + 7`. +In `Branch3`, we check whether the intermediate RLC is `rlc_prev_branch_init_row + 5 * 16 * r`. +In `Branch4`, we check whether the intermediate RLC is `rlc_prev_branch_init_row + 11 * r`. + +There are auxiliary columns `sel1` and `sel2` which specify whether we are in branch where +the nibble has to be multiplied by 16 or by 1. `sel1 = 1` means multiplying by 16, +`sel2 = 1` means multiplying by 1. + +### Branch key RLC + +#### Key RLC sel1 not first level + +When we are not in the first level and when sel1, the intermediate key RLC needs to be +computed by adding `modified_node * 16 * mult_prev` to the previous intermediate key RLC. + +#### Key RLC sel2 not first level + +When we are not in the first level and when sel2, the intermediate key RLC needs to be +computed by adding `modified_node * mult_prev` to the previous intermediate key RLC. + +#### Key RLC sel1 not first level mult +When we are not in the first level and when sel1, the intermediate key RLC mult needs to +stay the same - `modified_node` in the next branch will be multiplied by the same mult +when computing the intermediate key RLC. + +#### Key RLC sel2 not first level mult + +When we are not in the first level and when sel1, the intermediate key RLC mult needs to +be multiplied by `r` - `modified_node` in the next branch will be multiplied +by `mult * r`. + +#### Account address RLC first level + +In the first level, address RLC is simply `modified_node * 16`. + +#### Account address RLC mult first level + +In the first level, address RLC mult is simply 1. + +#### Storage key RLC first level + +In the first level, storage key RLC is simply `modified_node * 16`. + +#### Storage key RLC first level mult + +In the first level, storage key RLC mult is simply 1. + +#### sel1, sel2 + +Selectors `sel1` and `sel2` need to be boolean and `sel1 + sel2 = 1`. + +#### Account first level sel1 (regular branch) + +`sel1` in the first level is 1. + +#### Account first level sel1 = 1 (extension node even key) + +`sel1/sel2` present with what multiplier (16 or 1) is to be multiplied +the `modified_node` in a branch, so when we have an extension node as a parent of +a branch, we need to take account the nibbles of the extension node. + +If extension node, `sel1` and `sel2` in the first level depend on the extension key +(whether it is even or odd). If key is even, the constraints stay the same. If key +is odd, the constraints get turned around. Note that even/odd +presents the number of key nibbles (what we actually need here) and +not key byte length (how many bytes key occupies in RLP). + +#### Account first level sel1 = 0 (extension node odd key) + +`sel1/sel2` get turned around when odd number of nibbles. + +#### Storage first level sel1 = 1 (regular branch) + +Similarly as for the account first level above. + +#### Storage first level sel1 = 1 (extension node even key) + +Similarly as for the account first level above (extension node even key). + +#### Storage first level sel1 = 0 (extension node odd key) + +Similarly as for the account first level above (extension node odd key). + +#### sel1 0->1->0->... + +`sel1` alernates between 0 and 1 for regular branches. +Note that `sel2` alternates implicitly because of `sel1 + sel2 = 1`. + +#### sel1 0->1->0->... (extension node even key) + +`sel1` alernates between 0 and 1 for extension nodes with even number of nibbles. + +#### sel1 stays the same (extension node odd key) + +`sel1` stays the same for extension nodes with odd number of nibbles. + + + + \ No newline at end of file diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index 750908fbc..e1c457e67 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -122,8 +122,9 @@ MPT circuit supports the following proofs: - Storage modification - Nonce modification - Balance modification - - Account delete - - Non existing account + - Codehash proof + - Account delete modification + - Non existing account proof There is a struct `ProofTypeCols` that is to be used to specify the type of a proof: ``` @@ -131,11 +132,22 @@ struct ProofTypeCols { is_storage_mod: Column, is_nonce_mod: Column, is_balance_mod: Column, + is_codehash_proof: Column, is_account_delete_mod: Column, is_non_existing_account_proof: Column, } ``` +The lookup for nonce modification would thus look like: + +``` +| Address | is_storage_mod | is_nonce_mod | is_balance_mod | is_codehash_proof | is_account_delete_mod | is_non_existing_account_proof | Key | ValuePrev | Value | RootPrev | Root | +| - | - | - | - | - | - | - | +| $addr | 0 | 1 | 0 | 0 | 0 | 0 | 0 | $noncePrev | $nonceCur | $rootPrev | $root | +``` + +For `is_account_delete_mod` and `is_non_existing_account_proof` we use 0 for `ValuePrev` and `Value`. Note that there is no `is_account_create_proof` because we can create the account implicitly by `is_nonce_mod` or `is_balance_mod` (and in this case we do not need to check that the account previously did no exist, while for `is_account_delete_mod` the MPT circuit checks whether there really is not an account with the specified address anymore). + The columns in the struct falls into selectors category (as opposed to `MainCols` columns). `SelectorsChip` ensures there is exactly one type of proof selected. From b0a9456547d4d3681d54ab1af694db4394b28a9b Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 5 Sep 2022 16:18:06 +0200 Subject: [PATCH 45/92] branch docs --- specs/mpt/branch.md | 206 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 206 insertions(+) diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index 5ade57ec1..112287444 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -183,6 +183,13 @@ the regular parallel branch. When `S` branch is NOT a placeholder, `s_main.bytes RLC` corresponds to the value stored in `accumulators.s_mod_node_rlc` in `is_modified` row. +Note that `s_hash_rlc` is a bit misleading naming, because sometimes the branch +child is not hashed (shorter than 32 bytes), but in this case we need to compute +the RLC too - the same computation is used (stored in variable `s_hash_rlc`), but +we check in `branch_parallel` that the non-hashed child is of the appropriate length +(the length is specified by `rlp2`) and that there are 0s after the last branch child byte. +The same applies for `c_hash_rlc`. + #### is_branch_placeholder_s: s_mod_node_hash_rlc corresponds to c_main.bytes at drifted pos When `S` branch is a placeholder, `c_main.bytes RLC` corresponds to the value @@ -566,6 +573,205 @@ Note that `sel2` alternates implicitly because of `sel1 + sel2 = 1`. `sel1` stays the same for extension nodes with odd number of nibbles. +## Branch parallel + +``` +A branch occupies 19 rows: +BRANCH.IS_INIT +BRANCH.IS_CHILD 0 +... +BRANCH.IS_CHILD 15 +BRANCH.IS_EXTENSION_NODE_S +BRANCH.IS_EXTENSION_NODE_C +``` + +Example: + +``` +[1 0 1 0 248 241 0 248 241 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 0 160 60 157 212 182 167 69 206 32 151 2 14 23 149 67 58 187 84 249 195 159 106 68 203 199 199 65 194 33 215 102 71 138 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 0 160 21 230 18 20 253 84 192 151 178 53 157 0 9 105 229 121 222 71 120 109 159 109 9 218 254 1 50 139 117 216 194 252 1] +[0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 0 160 229 29 220 149 183 173 68 40 11 103 39 76 251 20 162 242 21 49 103 245 160 99 143 218 74 196 2 61 51 34 105 123 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 0 160 0 140 67 252 58 164 68 143 34 163 138 133 54 27 218 38 80 20 142 115 221 100 73 161 165 75 83 53 8 58 236 1 1] +[0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 0 160 149 169 206 0 129 86 168 48 42 127 100 73 109 90 171 56 216 28 132 44 167 14 46 189 224 213 37 0 234 165 140 236 1] +[0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 0 160 42 63 45 28 165 209 201 220 231 99 153 208 48 174 250 66 196 18 123 250 55 107 64 178 159 49 190 84 159 179 138 235 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] +``` + +The constraints that are the same for `S` and `C` proofs are implemented in `branch_parallel.rs`. +For example, in a an empty row (nil branch child) like +``` +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +``` +we need to check that `rlp2 = 0`, `bytes[0] = 128`, and `bytes[i] = 0` for `i > 0`. + +Also, we check that the RLC corresponding to the `modified_node` is stored in `mod_node_hash_rlc` column. +In the above example we have `modified_node = 2` which corresponds to the row: +``` +[0 160 164 92 78 34 81 137 173 236 78 208 145 118 128 60 46 5 176 8 229 165 42 222 110 4 252 228 93 243 26 160 241 85 0 160 95 174 59 239 229 74 221 53 227 115 207 137 94 29 119 126 56 209 55 198 212 179 38 213 219 36 111 62 46 43 176 168 1] +``` + +So the `S` RLC of the `modified_node` is: `164 + 92 * r + 78 * r^2 + ... + 85 * r^31` +The `C` RLC is: `95 + 174*r + 59* r^2 + ... + 168 * r^31` + +The `S` RLC is stored in `s_mod_node_hash_rlc` column, in all 16 branch children rows. +The `C` RLC is stored in `c_mod_node_hash_rlc` column, in all 16 branch children rows. + +Having the values stored in all 16 rows makes it easier to check whether it is really the value that +corresponds to the `modified_node`. Otherwise, having this value stored for example only in branch init row +we would not know what rotation to use into branch init when in `modified_node` row. + +Note that the constraints about having the RLC value corresponds to the `modified_node` row are +implemented in `branch.rs`. This is because we do not have full symmetry between `S` and `C` proofs in the case +of branch placeholders. + +Finally, when there is a non-hashed branch child, we need to check that there are 0s after the last +branch child byte. The example is: +``` +[0,0,198,132,48,0,0,0,1,...] +``` + +In this case the branch child is of length `6 = 198 - 192`: `[132, 48, 0, 0, 0, 1]`. +We need to make sure there are 0s after these 6 bytes. + +### Empty and non-empty branch children + +Empty nodes have 0 at `rlp2`, have `128` at `bytes[0]` and 0 everywhere else: +``` +[0, 0, 128, 0, ..., 0]. +``` +While non-empty nodes have `160` at `rlp2` and then any byte at `bytes`: +``` +[0, 160, a0, ..., a31]. +``` + +Note: `s_rlp1` and `c_rlp1` store the number of RLP still left in the in the branch rows. +The constraints are in `branch.rs`, see `RLP length` gate. + +#### rlp2 = 0 or rlp2 = 160 + +Empty nodes have `rlp2 = 0`. Non-empty nodes have: `rlp2 = 160`. + +### bytes[0] = 128 in empty node + +When an empty node (0 at `rlp2`), `bytes[0] = 128`. Note that `rlp2` can be only 0 or 128 (see constraint +above). + +#### bytes[i] = 0 for i > 0 in empty + +When an empty node (0 at `rlp2`), `bytes[i] = 0` for `i > 0`. + +### Branch child RLC & selector for specifying whether the modified node is empty + +#### mod_node_hash_rlc the same for all branch children + +`mod_node_hash_rlc` is the same for all `is_branch_child` rows. +Having the values stored in all 16 rows makes it easier to check whether it is really the value that +corresponds to the `modified_node`. This is used in `branch.rs` constraints like: +``` +* is_modified.clone() +* (hash_rlc.clone() - mod_node_hash_rlc_cur.clone() +``` + +`hash_rlc` is computed in each row as: `bytes[0] + bytes[1] * r + ... + bytes[31] * r^31`. + +Note that `hash_rlc` is somehow misleading name because the branch child can be non-hashed too. + +#### Empty branch child modified: bytes[0] = 128 + +When a value is being added (and reverse situation when deleted) to the trie and +there is no other leaf at the position where it is to be added, we have empty branch child +in `S` proof and hash of a newly added leaf at the parallel position in `C` proof. +That means we have empty node in `S` proof at `modified_node`. +When this happens, we denote this situation by having `sel = 1`. +In this case we need to check that `main.bytes = [128, 0, ..., 0]`. +We first check `bytes[0] = 128`. + +#### Empty branch child modified: bytes[i] = 0 for i > 0 + +The remaining constraints for `main.bytes = [128, 0, ..., 0]`: +`bytes[i] = 0` for `i > 0`. + +#### Selector for the modified child being empty the same for all branch children + +Having selector `sel` the same for all branch children makes it easier to write +the constraint above for checking that `main.bytes = [128, 0, ..., 0]` +when `modified_node`. As for writing the constraints for RLC above, we would not know +what rotation to use otherwise (if information about modified node being empty would +be stored for example in branch init row). + +### Non-hashed nodes have 0s after the last byte + +When branch child is shorter than 32 bytes it does not get hashed, that means some positions +in `main.bytes` stay unused. But we need to ensure there are 0s at unused positions to avoid +attacks on the RLC which is computed taking into account all `main.bytes`. + +## Branch RLC + +The constraints in `branch_rlc.rs` check whether the branch RLC is being properly computed row by row. +There are three type of branch children rows: empty children, non-empty hashed children, +non-empty non-hashed children. We need to take into account these three types when computing +the intermediate RLC of the current row. + +Note that the RLC for branch init row is checked in `branch_init.rs`. + +### Branch RLC + +#### Branch RLC empty + +When a branch child is empty, we only have one byte (128 at `bytes[0]`) +that needs to be added to the RLC: +`branch_acc_curr = branch_acc_prev + 128 * branch_mult_prev` + +`branch_mult_prev` is the value that is to be used when multiplying the byte to be added +to the RLC. Note that `branch_mult_prev` is stored in the previous row. + +#### Branch RLC mult empty + +When a branch child is empty, we only have one byte in a row and the multiplier only +changes by factor `r`. + +#### Branch RLC non-empty hashed + +When a branch child is non-empty and hashed, we have 33 bytes in a row. +We need to add these 33 bytes to the RLC. + +#### Branch RLC mult non-empty hashed", + +When a branch child is non-empty and hashed, we have 33 bytes in a row. +The multiplier changes by factor `r^33`. + +#### Branch RLC non-hashed", + +When a branch child is non-hashed, we have `bytes[0] - 192` bytes in a row. +We need to add these bytes to the RLC. Note that we add all `bytes` to the RLC, but +we rely that there are 0s after the last non-hashed byte (see constraints in `branch.rs`). + +For example we have 6 bytes in the following child: `[0,0,198,132,48,0,0,0,1,...]`. + +#### Branch RLC mult non-hashed + +When a branch child is non-hashed, we have `f = bytes[0] - 192` bytes in a row. +The multiplier changes by factor `r^{f+1}`. `+1` is for the byte that specifies the length. + +We do not know in advance the factor `f`, so we use the lookup table that it corresponds +to the length specified at `rlp2` position. See `mult_diff_lookup` constraint below. + +### mult_diff_lookup + +We need to check that the multiplier in non-hashed nodes changes according to the non-hashed +node length. \ No newline at end of file From fafced49f4192174cb20344cf2a31d68b9c00eaa Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 6 Sep 2022 16:27:17 +0200 Subject: [PATCH 46/92] extension node key docs --- specs/mpt/extension-node.md | 119 ++++++++++++++++++++++++++++++++++-- 1 file changed, 115 insertions(+), 4 deletions(-) diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index 1be044fc4..6c03269e5 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -43,7 +43,7 @@ Node_1_0 Node_1_1 ... Node_1_15 `Node_1_15` is the hash of the account `A`. -We have: +Thus we have: ``` Branch0 Node_0_0 Node_0_1 ... Node_0_8 ... Node_0_15 @@ -71,9 +71,9 @@ Node_0_0 Node_0_1 ... Node_0_8 A A1 ``` -Extension node contains two things: extension nibbles and hash of the underlying branch. +Extension node contains two parts: extension nibbles and hash of the underlying branch. In our case, the extension node would contain `[1, 8]` and `Branch2` hash. Note that before `A1` has been -added, `Node_1_15` was hash of `A`. After `A1` was added, `Node_1_15` is hash of the extension node. +added, `Node_1_15` was the hash of `A`. After `A1` was added, `Node_1_15` is the hash of the extension node. ## RLP encoding @@ -82,7 +82,7 @@ The RLP encoding of the extension node might look like as follows. ``` [226,16,160,172,105,12... ``` -In this case `s_main.rlp2` marks the nibble being `0 = 16 - 16`. `s_main.bytes[0]` denotes the length +In this case `s_main.rlp2` denotes the nibble being `0 = 16 - 16`. `s_main.bytes[0]` denotes the length of the following string (`32 = 160 - 128`). The string `[172,105,12,...]` is hash of the underlying branch. @@ -112,5 +112,116 @@ length of the bytes that store nibbles: `31 = 159 - 128`. In this case `s_main.rlp2` marks the length of the bytes that store nibbles: `2 = 130 - 128`. The actual nibbles are `[9, 5]` as `149 = 9 * 16 + 5`. +## Extension node key constraints +A branch occupies 19 rows: +``` +BRANCH.IS_INIT +BRANCH.IS_CHILD 0 +... +BRANCH.IS_CHILD 15 +BRANCH.IS_EXTENSION_NODE_S +BRANCH.IS_EXTENSION_NODE_C +``` + +Example: + +``` +[1 0 1 0 248 81 0 248 81 0 14 1 0 6 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 29 143 36 49 6 106 55 88 195 10 34 208 147 134 155 181 100 142 66 21 255 171 228 168 85 11 239 170 233 241 171 242 0 160 29 143 36 49 6 106 55 88 195 10 34 208 147 134 155 181 100 142 66 21 255 171 228 168 85 11 239 170 233 241 171 242 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[0 160 135 117 154 48 1 221 143 224 133 179 90 254 130 41 47 5 101 84 204 111 220 62 215 253 155 107 212 69 138 221 91 174 0 160 135 117 154 48 1 221 143 224 133 179 90 254 130 41 47 5 101 84 204 111 220 62 215 253 155 107 212 69 138 221 91 174 1] +[0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] +[226 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 160 30 252 7 160 150 158 68 221 229 48 73 181 91 223 120 156 43 93 5 199 95 184 42 20 87 178 65 243 228 156 123 174 0 16] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 160 30 252 7 160 150 158 68 221 229 48 73 181 91 223 120 156 43 93 5 199 95 184 42 20 87 178 65 243 228 156 123 174 0 17] +``` + +The last two rows present the extension node. This might be a bit misleading, because the extension +node appears in the trie above the branch (the first 17 rows). + +The constraints in `extension_node_key.rs` check the intermediate +key RLC (address RLC) in the extension node is properly computed. Here, we need to take into +account the extension node nibbles and the branch `modified_node`. + +Other constraints for extension nodes, like checking that the branch hash +is in the extension node (the bytes `[30 252 ... 174]` in extension node rows present the hash +of the underlying branch) or checking the hash of the extension is in the parent node are +checking in `extension_node.rs`. + +### Extension node key RLC + +When we have a regular branch (not in extension node), the key RLC is simple to compute: +``` +key_rlc = key_rlc_prev + modified_node * key_rlc_mult_prev * selMult +``` + +The multiplier `selMult` being 16 or 1 depending on the number (even or odd) number +of nibbles used in the levels above. + +Extension node makes it more complicated because we need to take into account its nibbles +too. If there are for example two nibbles in the extension node `n1` and `n2` and if we +assume that there have been even nibbles in the levels above, then: + +``` +key_rlc = key_rlc_prev + n1 * key_rlc_mult_prev * 16 + n2 * key_rlc_mult_prev * 1 + + modified_node * key_rlc_mult_prev * r * 16 +``` + +#### Extension node row S and C key RLC are the same + +Currently, the extension node S and extension node C both have the same key RLC - +however, sometimes extension node can be replaced by a shorter extension node +(in terms of nibbles), this is still to be implemented. + +#### Extension node row S and C key RLC mult are the same + +Same as above but for the multiplier that is to be used for the first nibble +of the extension node. + +#### Long even sel1 extension node RLC + +We check the extension node intermediate RLC for the case when we have +long even nibbles (meaning there is an even number of nibbles > 1) +and sel1 (branch modified_node needs to be multiplied by 16). + + +#### Long even sel1 extension node > branch key RLC + +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +``` +key_rlc_branch = key_rlc_ext_node + modified_node * mult_prev * mult_diff * 16 +``` + +Note that the multiplier used is `mult_prev * mult_diff`. This is because `mult_prev` +is the multiplier to be used for the first extension node nibble, but we then +need to take into account the number of nibbles in the extension node to have +the proper multiplier for the `modified_node`. `mult_diff` stores the power or `r` +such that the desired multiplier is `mult_prev * mult_diff`. +However, `mult_diff` needs to be checked to correspond to the length of the nibbles +(see `mult_diff` lookups below). + +We check branch key RLC in `IS_EXTENSION_NODE_C` row (and not in branch rows), +otherwise +rotation would be needed +because we first have branch rows and then extension rows. + +#### Long even sel1 extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = mult_prev * mult_diff`. +While we can use the expression `mult_prev * mult_diff` in the constraints in this file, +we need to have `key_rlc_mult_branch` properly stored because it is accessed from the +child nodes when computing the key RLC in child nodes. From 67ed004b8f336c008e66fc566a4f7723f0f7ce9f Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 7 Sep 2022 16:57:52 +0200 Subject: [PATCH 47/92] extension node key docs --- specs/mpt/extension-node.md | 163 +++++++++++++++++++++++++++++++++++- 1 file changed, 159 insertions(+), 4 deletions(-) diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index 6c03269e5..d53d87bbb 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -190,12 +190,11 @@ however, sometimes extension node can be replaced by a shorter extension node Same as above but for the multiplier that is to be used for the first nibble of the extension node. -#### Long even sel1 extension node RLC +#### Long even sel1 extension node key RLC We check the extension node intermediate RLC for the case when we have -long even nibbles (meaning there is an even number of nibbles > 1) -and sel1 (branch modified_node needs to be multiplied by 16). - +long even nibbles (meaning there is an even number of nibbles and this number is bigger than 1) +and sel1 (branch `modified_node` needs to be multiplied by 16). #### Long even sel1 extension node > branch key RLC @@ -225,3 +224,159 @@ We need to check that the multiplier stored in a branch is: While we can use the expression `mult_prev * mult_diff` in the constraints in this file, we need to have `key_rlc_mult_branch` properly stored because it is accessed from the child nodes when computing the key RLC in child nodes. + +#### Long odd sel2 first_nibble second_nibble + +In some cases we need to store some helper values in `BRANCH.IS_EXTENSION_NODE_C` row. + +For example in `long odd sel2` case. Long odd means there are odd number of nibbles and this +number is bigger than 1. `sel2` means there are odd number of nibbles above the branch. As long odd +means there are odd number of nibbles in the extension node, there are even +number of nibbles above the extension node: +`nibbles_above_branch = nibbles_above_ext_node + ext_node_nibbles`. + +The example could be: +[228, 130, 16 + 3, 9*16 + 5, 0, ...] + +In this example, we have three nibbles: `[3, 9, 5]`. Because the number of nibbles +is odd, we have the first nibble already at position `s_main.bytes[0]` (16 is added to the +first nibble in `hexToCompact` function). As opposed, in the example below where we have +two nibbles, we have 0 at `s_main.bytes[0]`: +[228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] + +To get the first nibble we need to compute `s_main.bytes[0] - 16`. + +The additional helper values are needed in this case because +we have odd number of nibbles in the extension node. +When we have an even number of nibbles this is not needed, because all we need +is `n1 * 16 + n2`, `n3 * 16 + n4`, ... and we already have nibbles stored in that format +in the extension node. +When odd number, we have `n1 + 16`, `n2 * 16 + n3`, `n4 * 16 + n5`,..., +but we need `n1 * 16 + n2`, `n3 * 16 + n4`,... (actually we need this only if there +are also even number of nibbles above the extension node as is the case in long odd sel2). + +To get `n1 * 16 + n2`, `n3 * 16 + n4`,... +from +`n1 + 16`, `n2 * 16 + n3`, `n4 * 16 + n5`,... +we store the nibbles `n3`, `n5`,... in +`BRANCH.IS_EXTENSION_NODE_C` row. + +`BRANCH.IS_EXTENSION_NODE_S` and `BRANCH.IS_EXTENSION_NODE_C` rows of our example are thus: +[228, 130, 16 + 3, 9*16 + 5, 0, ...] +[5, 0, ...] + +We name the values in `BRANCH.IS_EXTENSION_NODE_C` as `second_nibbles`. +Using the knowledge of `second_nibble` of the pair, we can compute `first_nibble`. +Having a list of `first_nibble` and `second_nibble`, we can compute the key RLC. + +However, we need to check that the list of `second_nibbles` is correct. For example having +`first_nibble = 9 = ((9*16 + 5) - 5) / 16` +we check: +`first_nibble * 16 + 5 = s_main.bytes[1]`. + +#### Long odd sel2 extension node key RLC + +We check the extension node intermediate RLC for the case when we have +long odd nibbles (meaning there is an odd number of nibbles and this number is bigger than 1) +and sel2 (branch `modified_node` needs to be multiplied by 1). + +Note that for the computation of the intermediate RLC we need `first_nibbles` and +`second_nibbles` mentioned in the constraint above. + +#### Long odd sel2 extension node > branch key RLC + +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +``` +key_rlc_branch = key_rlc_ext_node + modified_node * mult_prev * mult_diff * 1 +``` + +#### Long odd sel2 extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = mult_prev * mult_diff * r_table[0]`. + +Note that compared to `Long even sel1` case, we have an additional factor +`r` here. This is because we have even number of nibbles above the extension node +and then we have odd number of nibbles in the extension node: this means the multiplier +for `n1` (which is stored in `s_main.bytes[0]`) will need a multiplier `key_rlc_mult_branch * r`. +For `n3` we will need a multiplier `key_rlc_mult_branch * r^2`,... +The difference with `Long even sel1` is that here we have an additional nibble in +`s_main.bytes[0]` which requires an increased multiplier. + +#### Short sel1 extension node key RLC + +Short means there is one nibble in the extension node +sel1 means there are even number of nibbles above the branch, +so there are odd number of nibbles above the extension node in this case: +`nibbles_above_branch = nibbles_above_ext_node + 1`. + +We check the extension node intermediate RLC for the case when we have +one nibble and sel1 (branch `modified_node` needs to be multiplied by 16). + +#### Short sel1 extension node > branch key RLC + +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +`key_rlc_branch = key_rlc_ext_node + modified_node * mult_prev * mult_diff * 16`. + +Note: `mult_diff = r` because we only have one nibble in the extension node. + +#### Short sel1 extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = mult_prev * r_table[0]`. + +#### Long even sel2 first_nibble second_nibble + +`Long even sel2` case is similar to `Long odd sel1` case above - similar in a way +that we need helper values for `first_nibbles`. + +Here we have an even number of nibbles in the extension node and this number is bigger than 1. +And `sel2` means branch `modified_node` needs to be multiplied by 1, which is the same as +saying there are odd number of nibbles above the branch. +It holds: `nibbles_above_branch = nibbles_above_ext_node + ext_node_nibbles`. +That means we have an odd number of nibbles above extension node. + +Example: +`[228, 130, 0, 9*16 + 5, 0, ...]` // we only have two nibbles here (`even`) +`[5, 0, ...]` + +We cannot use directly `n1 * 16 + n2` (`9*16 + 5` in the example) when computing the key RLC +because there is an odd number of nibbles above the extension node. +So we first need to compute: `key_rlc_prev_branch + n1 * key_rlc_mult_prev_branch`. +Which is the same as: +`key_rlc_prev_branch + (s_main.bytes[1] - second_nibble)/16 * key_rlc_mult_prev_branch`. + +We then continue adding the rest of the nibbles. +In our example there is only one more nibble, so the extension node key RLC is: +`key_rlc_prev_branch + (s_main.bytes[1] - second_nibble)/16 * key_rlc_mult_prev_branch + first_nibble * key_rlc_mult_prev_branch * r * 16`. +Note that we added a factor `r` because we moved to a new pair of nibbles (a new byte). + +In this constraints we check whether the list of `second_nibbles` is correct. + +#### Long even sel2 extension node key RLC + +We check the extension node intermediate RLC for the case when we have +long even nibbles (meaning there is an even number of nibbles and this number is bigger than 1) +and `sel2` (branch `modified_node` needs to be multiplied by 1). + +Note that for the computation of the intermediate RLC we need `first_nibbles` and +`second_nibbles` mentioned in the constraint above. + +#### Long even sel2 extension node > branch key RLC + +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +``` +key_rlc_branch = key_rlc_ext_node + modified_node * key_rlc_mult_prev_branch * mult_diff * 1 +``` + +#### Long even sel2 extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = key_rlc_mult_prev_branch * mult_diff * r_table[0]`. + + + + From e081a36484328ffbe6d3dd162a13d68e9bb33244 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 8 Sep 2022 16:47:37 +0200 Subject: [PATCH 48/92] extension node key docs --- specs/mpt/extension-node.md | 75 +++++++++++++++++++++++++++++++++++++ 1 file changed, 75 insertions(+) diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index d53d87bbb..0b55f1568 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -377,6 +377,81 @@ key_rlc_branch = key_rlc_ext_node + modified_node * key_rlc_mult_prev_branch * m We need to check that the multiplier stored in a branch is: `key_rlc_mult_branch = key_rlc_mult_prev_branch * mult_diff * r_table[0]`. +#### Long odd sel1 extension node key RLC +`Long odd` means there is an odd number of nibbles and the number is bigger than 1. +`sel1` means there is an even number of nibbles above the branch. +Thus, there is an odd number of nibbles above the extension node. +Because of an odd number of nibbles in the extension node, we have the first +nibble `n1` stored in `s_main.bytes[0]` (actually `n1 + 16`). We multiply it with +`key_rlc_mult_prev_branch`. Further nibbles are already paired in `s_main.bytes[i]` +for `i > 0` and we do not need information about `second_nibbles`. +#### Long odd sel1 extension node > branch key RLC +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +``` +key_rlc_branch = key_rlc_ext_node + modified_node * key_rlc_mult_prev_branch * mult_diff * 16 +``` + +#### Long odd sel1 extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = key_rlc_mult_prev_branch * mult_diff`. + +#### Short sel2 extension node key RLC + +`Short` means there is only one nibble in the extension node. +`sel2` means there are odd number of nibbles above the branch. +That means there are even number of nibbles above the extension node. + +Because of `short`, we have the first (and only) nibble in `s_main.rlp2`. +We add this nibble to the previous key RLC to obtain the extension node key RLC. + +#### Short sel2 extension node > branch key RLC + +Once we have extension node key RLC computed we need to take into account also the nibble +corresponding to the branch (this nibble is `modified_node`): +`key_rlc_branch = key_rlc_ext_node + modified_node * key_rlc_mult_prev_branch`. + +Note that there is no multiplication by power of `r` needed because `modified_node` +nibble uses the same multiplier as the nibble in the extension node as the two +of them form a byte in a key. + +#### Short sel2 branch extension node > branch key RLC mult + +We need to check that the multiplier stored in a branch is: +`key_rlc_mult_branch = key_rlc_mult_prev_branch * r`. + +Note that we only need to multiply by `r`, because only one key byte is used +in this extension node (one nibble in extension node + modified node nibble). + +#### s_main.bytes[i] = 0 for short + +We need to ensure `s_main.bytes` are all 0 when short - the only nibble is in `s_main.rlp2`. +For long version, the constraints to have 0s after nibbles end in `s_main.bytes` are +implemented using `key_len_lookup`. + +### Extension node key mult_diff + +It needs to be checked that `mult_diff` value corresponds to the number +of the extension node nibbles. The information about the number of nibbles +is encoded in `s_main.rlp2` - except in `short` case, but in this case we only +have one nibble and we already know what value should have `mult_diff`. +Thus, we check whether `(RMult, s_main.rlp2, mult_diff)` is in `fixed_table`. + +### Extension node second_nibble + +It needs to be checked that `second_nibbles` stored in `IS_EXTENSION_NODE_C` row +are all between 0 and 15. + +### s_main.bytes[i] = 0 after last extension node nibble + +Note that for a short version (only one nibble), all +`s_main.bytes` need to be 0 (the only nibble is in `s_main.rlp2`) - this is checked +separately. + +### Range lookups + +Range lookups ensure that the values in columns are all bytes (0 - 255). \ No newline at end of file From 6f7a2b2a364df92591b4f5eaf4d64f29251d8947 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 9 Sep 2022 15:37:39 +0200 Subject: [PATCH 49/92] extension node docs --- specs/mpt/extension-node.md | 236 +++++++++++++++++++++++++++++++++++- 1 file changed, 235 insertions(+), 1 deletion(-) diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index 0b55f1568..c491e00b0 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -454,4 +454,238 @@ separately. ### Range lookups -Range lookups ensure that the values in columns are all bytes (0 - 255). \ No newline at end of file +Range lookups ensure that the values in columns are all bytes (0 - 255). + +## Extension node constraints + +### Extension node RLC + +#### s_main RLC + +The intermediate RLC after `s_main` bytes needs to be properly computed. + +#### c_rlp2 = 160 + +When the branch is hashed, we have `c_rlp2 = 160` because it specifies the length of the +hash: `32 = 160 - 128`. + +#### Hashed extension node RLC + +Check whether the extension node RLC is properly computed. +The RLC is used to check whether the extension node is a node at the appropriate position +in the parent node. That means, it is used in a lookup to check whether +`(extension_node_RLC, node_hash_RLC)` is in the keccak table. + +#### Non-hashed extension node RLC + +Check whether the extension node (non-hashed) RLC is properly computed. +The RLC is used to check whether the non-hashed extension node is a node at the appropriate position +in the parent node. That means, there is a constraint to ensure that +`extension_node_RLC = node_hash_RLC` for some `node` in parent branch. + +### Extension node selectors & RLP + +#### Extension node selectors are boolean + +We first check that the selectors in branch init row are boolean. + +We have the following selectors in branch init: +``` +is_ext_short_c16 +is_ext_short_c1 +is_ext_long_even_c16 +is_ext_long_even_c1 +is_ext_long_odd_c16 +is_ext_long_odd_c1 +``` + +`short` means there is only one nibble in the extension node, `long` means there +are at least two. `even` means the number of nibbles is even, `odd` means the number +of nibbles is odd. `c16` means that above the branch there are even number of +nibbles (the same as saying that `modified_node` of the branch needs to be +multiplied by 16 in the computation of the key RLC), `c1` means +that above the branch there are odd number of +nibbles (the same as saying that `modified_node` of the branch needs to be +multiplied by 1 in the computation of the key RLC). + +#### Bool check extension node selectors sum + +Only one of the six options can appear. When we have an extension node it holds: +`is_ext_short_c16 + is_ext_short_c1 + is_ext_long_even_c16 + is_ext_long_even_c1 + is_ext_long_odd_c16 + is_ext_long_odd_c1 = 1`. +And when it is a regular branch: +`is_ext_short_c16 + is_ext_short_c1 + is_ext_long_even_c16 + is_ext_long_even_c1 + is_ext_long_odd_c16 + is_ext_long_odd_c1 = 0`. + +Note that if the attacker sets `is_extension_node = 1` +for a regular branch (or `is_extension_node = 0` for the extension node), +the final key RLC check fails because key RLC is computed differently +for extension nodes and regular branches - a regular branch occupies only one +key nibble (`modified_node`), while extension node occupies at least one additional +nibble (the actual extension of the extension node). + +#### Branch c16/c1 selector - extension c16/c1 selector + +`is_branch_c16` and `is_branch_c1` information is duplicated with +extension node selectors when we have an extension node (while in case of a regular +branch the extension node selectors do not hold this information). +That means when we have an extension node and `is_branch_c16 = 1`, +there is `is_ext_short_c16 = 1` or +`is_ext_long_even_c16 = 1` or `is_ext_long_odd_c16 = 1`. + +We have such a duplication to reduce the expression degree - for example instead of +using `is_ext_long_even * is_branch_c16` we just use `is_ext_long_even_c16`. + +But we need to check that `is_branch_c16` and `is_branch_c1` are consistent +with extension node selectors. + +#### Long & even implies s_bytes0 = 0 + +This constraint prevents the attacker to set the number of nibbles to be even +when it is not even. +Note that when it is not even it holds `s_bytes0 != 0` (hexToCompact adds 16). + +If the number of nibbles is 1, like in +`[226,16,160,172,105,12...` +there is no byte specifying the length. +If the number of nibbles is bigger than 1 and it is even, like in +`[228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249]` +the second byte (`s_main.rlp2`) specifies the length (we need to subract 128 to get it), +the third byte (`s_main.bytes[0]`) is 0. + +#### One nibble & hashed branch RLP + +We need to check that the length specified in `s_main.rlp1` corresponds to the actual +length of the extension node. + +For example, in +`[226,16,160,172,105,12...` +we check that `226 - 192 = 1 + 32 + 1`. +1 is for `s_main.rlp2`, 32 is for 32 bytes of the branch hash, +1 is for the byte 160 which denotes the length +of the hash (128 + 32). + +#### One nibble & non-hashed branch RLP + +We need to check that the length specified in `s_main.rlp1` corresponds to the actual +length of the extension node. + +For example, in +`[223,16,221,198,132,32,0,0,0,1,198,132,32,0,0,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128]` +we check that `223 - 192 = 1 + 29 + 1`. +1 is for `s_main.rlp2`, +29 is for the branch RLP (which is not hashed because it is shorter than 32 bytes), +1 is for `c_main.bytes[0]` which denotes the length of the branch RLP. + +#### More than one nibble & hashed branch & ext not longer than 55 RLP + +We need to check that the length specified in `s_main.rlp1` corresponds to the actual +length of the extension node. + +For example, in +`[228,130,0,149,160,114,253...` +we check that `228 - 192 = (130 - 128) + 1 + 32 + 1`. +1 is for `s_main.rlp2` which specifies the length of the nibbles part, +32 is for the branch hash, +1 is for the byte 160 which denotes the length +of the hash (128 + 32). + +#### More than one nibble & non-hashed branch & ext not longer than 55 RLP + +We need to check that the length specified in `s_main.rlp1` corresponds to the actual +length of the extension node. + +We check that `s_main.rlp1 - 192` = `s_main.rlp2 - 128 + 1 + c_main.bytes[0] - 192 + 1`. + +#### Extension longer than 55 RLP: s_rlp1 = 248 + +When extension node RLP is longer than 55 bytes, the RLP has an additional byte +at second position and the first byte specifies the length of the substream +that specifies the length of the RLP. The substream is always just one byte: `s_main.rlp2`. +And `s_main.rlp1 = 248` where `248 = 247 + 1` means the length of 1 byte. + +Example: +`[248,67,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,161,160,...` + +#### Hashed branch & ext longer than 55 RLP" + +We need to check that the length specified in `s_main.rlp2` corresponds to the actual +length of the extension node. + +Example: +`[248,67,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,161,160,...` + +We check that `s_main.rlp2 = (s_main.bytes[0] - 128) + 1 + 32 + 1`. +`s_main.bytes[0] - 128` specifies the extension node nibbles part, +1 is for `s_main.rlp2` which specifies the length of the RLP stream, +32 is for the branch hash, +1 is for the byte 160 which denotes the length of the hash (128 + 32). + +#### Non-hashed branch & ext longer than 55 RLP + +We need to check that the length specified in `s_main.rlp2` corresponds to the actual +length of the extension node. + +We check that `s_main.rlp2 = (s_main.bytes[0] - 128) + 1 + c_main.bytes[0] - 192 + 1`. +`s_main.bytes[0] - 128` specifies the extension node nibbles part, +1 is for `s_main.rlp2` which specifies the length of the RLP stream, +`c_main.bytes[0] - 192` is for the branch RLP (which is not hashed because it is shorter than 32 bytes), +1 is for the byte 160 which denotes the length of the hash (128 + 32). + +### Extension node branch hash in extension row + +Check whether branch hash is in the extension node row - we check that the branch hash RLC +(computed over the first 17 rows) corresponds to the extension node hash stored in +the extension node row. That means `(branch_RLC, extension_node_hash_RLC`) needs to +be in a keccak table. + +### Extension node branch hash in extension row (non-hashed branch) + +#### Non-hashed branch in extension node + +Check whether branch is in extension node row (non-hashed branch) - +we check that the branch RLC is the same as the extension node branch part RLC +(RLC computed over `c_main.bytes`). + +Note: there need to be 0s after branch ends in the extension node `c_main.bytes` +(see below). + +### c_main.bytes[i] = 0 after the last non-hashed branch byte + +There are 0s after non-hashed branch ends in `c_main.bytes`. + +### Account first level extension node hash - compared to root + +When we have an extension node in the first level of the account trie, +its hash needs to be compared to the root of the trie. + +Note: the branch counterpart is implemented in `branch_hash_in_parent.rs`. + +### Extension node hash in parent branch + +Check whether the extension node hash is in the parent branch. +That means we check whether +`(extension_node_RLC, node_hash_RLC)` is in the keccak table where `node` is a parent +brach child at `modified_node` position. + +Note: do not check if it is in the first storage level (see `storage_root_in_account_leaf.rs`). + +### Extension node in parent branch (non-hashed extension node) + +#### Non-hashed extension node in parent branch + +### Extension node number of nibbles (not first level) + +When an extension node is not hashed, we do not check whether it is in a parent +branch using a lookup (see above), instead we need to check whether the branch child +at `modified_node` position is exactly the same as the extension node. + +We need to make sure the total number of nibbles is 64. This constraint ensures the number +of nibbles used (stored in branch init) is correctly computed - nibbles up until this +extension node + nibbles in this extension node. +Once in a leaf, the remaining nibbles stored in a leaf need to be added to the count. +The final count needs to be 64. + + + + + + From 94d0f24d9799108dd3e503e82a9a4460feb1da08 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 12 Sep 2022 16:57:10 +0200 Subject: [PATCH 50/92] documenting storage leaf --- specs/mpt/extension-node.md | 62 +++++++++++++- specs/mpt/mpt-proof.md | 1 + specs/mpt/storage_leaf.md | 158 ++++++++++++++++++++++++++++++++++++ 3 files changed, 219 insertions(+), 2 deletions(-) create mode 100644 specs/mpt/storage_leaf.md diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index c491e00b0..5c0fb01f9 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -672,18 +672,76 @@ Note: do not check if it is in the first storage level (see `storage_root_in_acc #### Non-hashed extension node in parent branch -### Extension node number of nibbles (not first level) - When an extension node is not hashed, we do not check whether it is in a parent branch using a lookup (see above), instead we need to check whether the branch child at `modified_node` position is exactly the same as the extension node. +### Extension node number of nibbles (not first level) + We need to make sure the total number of nibbles is 64. This constraint ensures the number of nibbles used (stored in branch init) is correctly computed - nibbles up until this extension node + nibbles in this extension node. Once in a leaf, the remaining nibbles stored in a leaf need to be added to the count. The final count needs to be 64. +#### Nibbles number when one nibble + +When there is only one nibble in the extension node, `nibbles_count` changes +for 2: one nibble and `modified_node` in a branch. + +#### Nibbles number when even number of nibbles & ext not longer than 55 + +When there is an even number of nibbles in the extension node, +we compute the number of nibbles as: `(s_rlp2 - 128 - 1) * 2`. +By `s_rlp2 - 128` we get the number of bytes where nibbles are compressed, but +then we need to subtract 1 because `s_main.bytes[0]` does not contain any nibbles +(it is just 0 when even number of nibbles). + +In the example below it is: `(130 - 128 - 1) * 2`. +`[228,130,0,149,160,114,253...` + +#### Nibbles num when odd number (>1) of nibbles & ext not longer than 55 + +When there is an odd number of nibbles in the extension node, +we compute the number of nibbles as: `(s_rlp2 - 128) * 2`. +By `s_rlp2 - 128` we get the number of bytes where nibbles are compressed. We +multiply by 2 to get the nibbles, but then subtract 1 because in +`s_main.bytes[0]` there is only 1 nibble. + +#### Nibbles num when even number of nibbles & ext longer than 55 + +When there is an even number of nibbles in the extension node and the extension +node is longer than 55 bytes, the number of bytes containing the nibbles +is given by `s_main.bytes[0]`. +We compute the number of nibbles as: `(s_bytes0 - 128 - 1) * 2`. +By `s_bytes0 - 128` we get the number of bytes where nibbles are compressed, but +then we need to subtract 1 because `s_main.bytes[1]` does not contain any nibbles +(it is just 0 when even number of nibbles). + +#### Nibbles num when odd number (>1) of nibbles & ext longer than 55 + +When there is an odd number of nibbles in the extension node and the extension, +node is longer than 55 bytes, the number of bytes containing the nibbles +is given by `s_main.bytes[0]`. +We compute the number of nibbles as: `(s_main.bytes[0] - 128) * 2`. +By `s_main.bytes[0] - 128` we get the number of bytes where nibbles are compressed. We +multiply by 2 to get the nibbles, but then subtract 1 because in +`s_main.bytes[1]` there is only 1 nibble. + +Example: +`[248,58,159,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,217,128,196,130,32,0,1,128,196,130,32,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128]` + +### Extension node number of nibbles (first level) + +#### Nibbles num when one nibble (first level account) + +When there is one nibble in the extension node and we are in the first account +level in the trie, the nibbles count has to be 2 (1 for nibble, 1 for +`modified_node` in a branch). + +Note that we distinguish between first level in the account trie and first level +in the storage trie just because we have different selectors to trigger the +constraint for these two cases. diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index e1c457e67..e741a74a4 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -159,5 +159,6 @@ boolean). The constraints are grouped according to different trie node types: * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). + * Storage leaf constraints documentation is in [storage-leaf.md](storage-leaf.md). * Branch constraints documentation is in [branch.md](branch.md). * Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md new file mode 100644 index 000000000..4c64f7747 --- /dev/null +++ b/specs/mpt/storage_leaf.md @@ -0,0 +1,158 @@ +# Storage leaf + +A storage leaf occupies 5 rows. +Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. +The rows are the following: +``` +LEAF_KEY_S +LEAF_VALUE_S +LEAF_KEY_C +LEAF_VALUE_C +LEAF_DRIFTED +``` + +An example of leaf rows: +``` +[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +``` + +In the above example the value has been changed from 1 (`LEAF_VALUE_S`) to 17 (`LEAF_VALUE_C`). + +In the example below the value in `LEAF_VALUE_C` takes more than 1 byte: `[187 239 170 ...]` +This has two consequences: + - Two additional RLP bytes: `[161 160]` where `33 = 161 - 128` means there are `31` bytes behind `161`, + `32 = 160 - 128` means there are `30` bytes behind `160`. + - `LEAF_KEY_S` starts with `248` because the leaf has more than 55 bytes, `1 = 248 - 247` means + there is 1 byte after `248` which specifies the length - the length is `67`. We can see that + that the leaf key is shifted by 1 position compared to the example above. + +For this reason we need to distinguish two cases: 1 byte in leaf value, more than 1 byte in leaf value. +These two cases are denoted by `is_short` and `is_long`. There are two other cases we need to +distinguish: `last_level` when the leaf is in the last level and has no nibbles, `one_nibble` when +the leaf has only one nibble. + +`last_level`: +``` +[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[161 160 187 239 170 18 88 1 56 188 38 60 149 117 120 38 223 78 36 235 129 201 170 170 170 170 170 170 170 170 170 170 170 170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +``` + +`last_level` +``` +[194 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[194 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +``` + +`one_nibble`: +``` +[194 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[194 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +``` + +`s_mod_node_rlc` (`flag1`) and `c_mod_node_rlc` (`flag2`) columns store the information of what +kind of case we have: + `flag1: 1, flag2: 0`: `is_long` + `flag1: 0, flag2: 1`: `is_short` + `flag1: 1, flag2: 1`: `last_level` + `flag1: 0, flag0: 1`: `one_nibble` + +The constraints in `leaf_key.rs` apply to `LEAF_KEY_S` and `LEAF_KEY_C` rows. + +## Storage leaf key constraints + +### Storage leaf key RLC + +#### is_long: s_rlp1 = 248 + +When `is_long` (the leaf value is longer than 1 byte), `s_main.rlp1` needs to be 248. + +Example: +`[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` + +#### last_level: s_rlp2 = 32 + +When `last_level`, there is no nibble stored in the leaf key, it is just the value +`32` in `s_main.rlp2`. In the `getProof` output, there is then the value stored immediately +after `32`. However, in the MPT witness, we have value in the next row, so there are 0s +in `s_main.bytes` (we do not need to check `s_main.bytes[i]` to be 0 due to how the RLC +constraints are written). + +Example: +`[194 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` + +#### flag1 is boolean & flag2 is boolean + +The two values that store the information about what kind of case we have need to be boolean. + +#### Leaf key RLC (short or long) + +We need to ensure that the RLC of the row is computed properly for `is_short` and +`is_long`. We compare the computed value with the value stored in `accumulators.acc_s.rlc`. + +#### Leaf key RLC (last level or one nibble) + +We need to ensure that the RLC of the row is computed properly for `last_level` and +`one_nibble`. We compare the computed value with the value stored in `accumulators.acc_s.rlc`. + +`last_level` and `one_nibble` cases have one RLP byte (`s_rlp1`) and one byte (`s_rlp2`) +where it is 32 (for `last_level`) or `48 + last_nibble` (for `one_nibble`). + +#### 0s after the last key nibble + +There are 0s in `s_main.bytes` after the last key nibble (this does not need to be checked for `last_level` and `one_nibble` as in these cases `s_main.bytes` are not used). + +### mult_diff + +The intermediate RLC value of this row is stored in `accumulators.acc_s.rlc`. +To compute the final leaf RLC in `LEAF_VALUE` row, we need to know the multiplier to be used +for the first byte in `LEAF_VALUE` row too. The multiplier is stored in `accumulators.acc_s.mult`. +We check that the multiplier corresponds to the length of the key that is stored in `s_main.rlp2` +for `is_short` and in `s_main.bytes[0]` for `is_long`. + +Note: `last_level` and `one_nibble` have fixed multiplier because the length of the nibbles +in these cases is fixed. + +### Storage leaf key RLC & nibbles count (leaf not in first level, branch not placeholder) + +We need to ensure that the storage leaf is at the key specified in `key_rlc` column (used +by MPT lookup). To do this we take the key RLC computed in the branches above the leaf +and add the remaining bytes (nibbles) stored in the leaf. + +We also ensure that the number of all nibbles (in branches / extension nodes above +the leaf and in the leaf) is 64. + +#### Leaf key RLC s_bytes0 (short) + +If `c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[0]`. +This is because `c1` in the branch above means there is an even number of nibbles left +and we have an even number of nibbles in the leaf, the first byte (after RLP bytes +specifying the length) of the key is 32. + +#### Key RLC (short) + +We need to ensure the leaf key RLC is computed properly. We take the key RLC value +from the last branch and add the bytes from position +`s_main.bytes[0]` up at most to `c_main.rlp1`. We need to ensure that there are 0s +after the last key byte, this is done by `key_len_lookup`. + +The computed value needs to be the same as the value stored `key_rlc` column. + +`is_short` example: +[226,160,59,138,106,70,105,186,37,13,38[227,32,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170] + +Note: No need to distinguish between `c16` and `c1` here as it was already +when computing `key_rlc_acc_short`. + From 7bd7c83159cbe3e5d92ac185a4844be7cb10885d Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 14 Sep 2022 19:46:54 +0200 Subject: [PATCH 51/92] MPT specs updated --- specs/mpt/account-leaf.md | 27 +------------------- specs/mpt/storage_leaf.md | 53 ++++++++++++++++++++++++++++++++++++++- 2 files changed, 53 insertions(+), 27 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index a087ba50c..4958b84c1 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -111,7 +111,7 @@ So the multiplier to be used in the next row is `r^{key_len + 2}`. `mult_diff` needs to correspond to the key length + 2 RLP bytes + 1 byte for byte that contains the key length. That means `mult_diff` needs to be `r^{key_len+1}` where `key_len = s_main.bytes[0] - 128`. -### Account leaf address RLC & nibbles count (leaf not in first level, branch not placeholder) +### Account leaf address RLC & nibbles count (branch not placeholder) #### Account leaf key with even nibbles: s_main.bytes[1] = 32 @@ -149,31 +149,6 @@ Total number of account address nibbles nees to be 64. This is to prevent having which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That means the trie could be manipulated to reach a desired root. -### Account leaf address RLC & nibbles count (leaf in first level) - -Similar constraints as in the gate described above, but for account leaf being in the first level. - -### Previous level address RLC - -#### Previous key RLC - -When there is an account leaf after a placeholder branch, the intermediate key RLC needs to be -fetched from the branch above the placeholder branch. That would require a rotation over two -levels which leads into ConstrainedPoisoned because we are accessing the rows before 0 in -some cases. For this reason, we copy previous key RLC to the current branch so that we have -in each branch a current and previous key RLC at our disposal. This way we do not need to -rotate over two levels. - -We need to ensure that the key RLC from the branch above the placeholder branch is copied -to `accs.acc_c.rlc`. This enables us to compute the address RLC after a branch placeholder -(see the constraint below) by not using rotations over two levels (we have the intermediate -RLC in the current row). - -#### Previous key RLC mult - -We need to ensure that the key RLC mult from the branch above the placeholder branch is copied -to `accs.acc_c.mult`. - ### Account leaf address RLC & nibbles count (after placeholder) This gate is again similar to the gate `Account leaf address RLC & nibbles count (leaf not in first level, branch not placeholder)`, but with a leaf being after a branch placeholder. diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 4c64f7747..b9914e929 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -134,7 +134,7 @@ and add the remaining bytes (nibbles) stored in the leaf. We also ensure that the number of all nibbles (in branches / extension nodes above the leaf and in the leaf) is 64. -#### Leaf key RLC s_bytes0 (short) +#### Leaf key RLC s_bytes0 = 32 (short) If `c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[0]`. This is because `c1` in the branch above means there is an even number of nibbles left @@ -156,3 +156,54 @@ The computed value needs to be the same as the value stored `key_rlc` column. Note: No need to distinguish between `c16` and `c1` here as it was already when computing `key_rlc_acc_short`. +#### Leaf key acc s_bytes1 = 32 (long) + +If `c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[1]`. +This is because `c1` in the branch above means there is an even number of nibbles left +and we have an even number of nibbles in the leaf, the first byte (after RLP bytes +specifying the length) of the key is 32. + +#### Key RLC (long) + +We need to ensure the leaf key RLC is computed properly. We take the key RLC value +from the last branch and add the bytes from position +`s_main.bytes[1]` up at most to `c_main.rlp2`. We need to ensure that there are 0s +after the last key byte, this is done by `key_len_lookup`. + +The computed value needs to be the same as the value stored `key_rlc` column. + +`is_long` example: +`[248,67,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,161,160,...` + +Note: No need to distinguish between `c16` and `c1` here as it was already +when computing `key_rlc_acc_long`. + +#### Key RLC (last level) + +We need to ensure the leaf key RLC is computed properly. +When the leaf is in the last level we simply take the key RLC value +from the last branch and this is the final key RLC value as there is no +nibble in the leaf. + +The computed value needs to be the same as the value stored `key_rlc` column. + +Last level example: +`[227,32,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170]` + +#### Key RLC (one nibble) + +We need to ensure the leaf key RLC is computed properly. +When there is only one nibble in the leaf, we take the key RLC value +from the last branch and add the last remaining nibble stored in `s_main.rlp2`. + +The computed value needs to be the same as the value stored `key_rlc` column. + +One nibble example short value: +`[194,48,1]` + +One nibble example long value: +`[227,48,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170]` + +#### + + From f2d1c05ab0eeabf9be6914b8868c92274d09e57f Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 16 Sep 2022 16:02:25 +0200 Subject: [PATCH 52/92] MPT specs updated --- specs/mpt/account-leaf.md | 20 +++--- specs/mpt/extension-node.md | 5 -- specs/mpt/mpt-proof.md | 4 +- specs/mpt/storage_leaf.md | 136 +++++++++++++++++++++++++++++++++++- 4 files changed, 147 insertions(+), 18 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 4958b84c1..d4f247a68 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -337,23 +337,23 @@ To enable lookup for balance modification we need to have `S` balance and `C` ba in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. This constraint checks whether the value is properly copied. -#### If storage or balance modification: S nonce = C nonce +#### If storage or balance or codehash modification: S nonce = C nonce We need to ensure there is only one modification at a time. If there is storage or -balance modification, we need to ensure `S` nonce and `C` nonce are the same. +balance or codehash modification, we need to ensure `S` nonce and `C` nonce are the same. Note: For `is_non_existing_account_proof` we do not need this constraint, `S` and `C` proofs are the same and we need to do a lookup into only one -(the other one could really be whatever). Similarly for `is_codehash_proof`. +(the other one could really be whatever). -#### If storage or nonce modification: S balance = C balance +#### If storage or nonce or codehash modification: S balance = C balance We need to ensure there is only one modification at a time. If there is storage or nonce modification, we need to ensure `S` balance and `C` balance are the same. Note: For `is_non_existing_account_proof` we do not need this constraint, `S` and `C` proofs are the same and we need to do a lookup into only one -(the other one could really be whatever). Similarly for `is_codehash_proof`. +(the other one could really be whatever). #### Leaf nonce balance RLC @@ -601,16 +601,16 @@ For this reason, S storage root RLC is copied to `sel1` column in C row. Note: we do not need such constraint for codehash as the codehash never changes. -#### If nonce / balance: storage_root_s = storage_root_c +#### If nonce or balance or codehash modification: storage_root_s = storage_root_c -If the modification is nonce or balance modification, the storage root needs to +If the modification is nonce or balance or codehash modification, the storage root needs to stay the same. Note: For `is_non_existing_account_proof` we do not need this constraint, `S` and `C` proofs are the same and we need to do a lookup into only one -(the other one could really be whatever). Similarly for `is_codehash_proof`. +(the other one could really be whatever). -#### If nonce / balance / storage mod: codehash_s = codehash_c +#### If nonce or balance or storage modification: codehash_s = codehash_c If the modification is nonce or balance or storage modification (that means always except for `is_account_delete_mod` and `is_non_existing_account_proof`), @@ -618,7 +618,7 @@ the storage root needs to stay the same. Note: For `is_non_existing_account_proof` we do not need this constraint, `S` and `C` proofs are the same and we need to do a lookup into only one -(the other one could really be whatever). Similarly for `is_codehash_proof`. +(the other one could really be whatever). #### Account leaf storage codehash RLC diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index 5c0fb01f9..63da0fb20 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -185,11 +185,6 @@ Currently, the extension node S and extension node C both have the same key RLC however, sometimes extension node can be replaced by a shorter extension node (in terms of nibbles), this is still to be implemented. -#### Extension node row S and C key RLC mult are the same - -Same as above but for the multiplier that is to be used for the first nibble -of the extension node. - #### Long even sel1 extension node key RLC We check the extension node intermediate RLC for the case when we have diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index e741a74a4..4d1e2c09d 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -132,7 +132,7 @@ struct ProofTypeCols { is_storage_mod: Column, is_nonce_mod: Column, is_balance_mod: Column, - is_codehash_proof: Column, + is_codehash_mod: Column, is_account_delete_mod: Column, is_non_existing_account_proof: Column, } @@ -141,7 +141,7 @@ struct ProofTypeCols { The lookup for nonce modification would thus look like: ``` -| Address | is_storage_mod | is_nonce_mod | is_balance_mod | is_codehash_proof | is_account_delete_mod | is_non_existing_account_proof | Key | ValuePrev | Value | RootPrev | Root | +| Address | is_storage_mod | is_nonce_mod | is_balance_mod | is_codehash_mod | is_account_delete_mod | is_non_existing_account_proof | Key | ValuePrev | Value | RootPrev | Root | | - | - | - | - | - | - | - | | $addr | 0 | 1 | 0 | 0 | 0 | 0 | 0 | $noncePrev | $nonceCur | $rootPrev | $root | ``` diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index b9914e929..8d15a53f8 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -204,6 +204,140 @@ One nibble example short value: One nibble example long value: `[227,48,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170]` -#### +#### Total number of storage address nibbles is 64 (not first level, not branch placeholder) + +Checking the total number of nibbles is to prevent having short addresses +which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That +means the trie could be manipulated to reach a desired root. + +### Storage leaf key RLC (after placeholder) + +For leaf under the placeholder branch we would not need to check the key RLC - +this leaf is something we did not ask for, it is just a leaf that happened to be +at the place where adding a new leaf causes adding a new branch. +For example, when adding a leaf `L` causes that a leaf `L1` +(this will be the leaf under the branch placeholder) +is replaced by a branch, we get a placeholder branch at `S` side +and leaf `L1` under it. However, the key RLC needs to be compared for leaf `L`, +because this is where the modification takes place. +In delete, the situation is turned around. + +However, we also check that the key RLC for `L1` is computed properly because +we need `L1` key RLC for the constraints for checking that leaf `L1` is the same +as the drifted leaf in the branch parallel. This can be checked by +comparing the key RLC of the leaf before being replaced by branch and the key RLC +of this same leaf after it drifted into a branch. +Constraints for this are in `leaf_key_in_added_branch.rs`. + +Note that the hash of a leaf `L1` needs to be checked to be in the branch +above the placeholder branch - this is checked in `leaf_value.rs`. + +#### Leaf key acc s_bytes0 (short) + +If `is_c1 = 1` which means there is an even number of nibbles stored in a leaf, +we have 32 in `s_main.bytes[0]`. + +#### Key RLC (short) + +When `is_short` the first key byte is at `s_main.bytes[0]`. We retrieve the key RLC from the +branch above the branch placeholder and add the nibbles stored in a leaf. +The computed key RLC needs to be the same as the value stored at `accumulators.key.rlc`. + +`is_short`: +`[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]` + +`is_long`: +`[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` + +Note: No need to distinguish between `is_c16` and `is_c1` here as it was already +when computing `key_rlc_acc_short`. + +#### Leaf key acc s_bytes1 (long) + +If `is_c1 = 1` which means there is an even number of nibbles stored in a leaf, +we have 32 in `s_main.bytes[1]`. + +#### Key RLC (long) + +When `is_long` the first key byte is at `s_main.bytes[1]`. We retrieve the key RLC from the +branch above the branch placeholder and add the nibbles stored in a leaf. +The computed key RLC needs to be the same as the value stored at `accumulators.key.rlc`. + +`is_short`: +`[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]` + +`is_long`: +`[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` + +Note: No need to distinguish between `is_c16` and `is_c1` here as it was already +when computing `key_rlc_acc_short`. + +#### Total number of account address nibbles is 64 (after placeholder) + +Checking the total number of nibbles is to prevent having short addresses +which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That +means the trie could be manipulated to reach a desired root. + +To get the number of nibbles above the leaf we need to go into the branch above the placeholder branch. + +Note that when the leaf is in the first storage level (but positioned after the placeholder +in the circuit), there is no branch above the placeholder branch from where +`nibbles_count` is to be retrieved. In that case `nibbles_count = 0`. + +### Range lookups + +Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). + +## Leaf value constraints + +### Leaf & Leaf value RLC + +We need the RLC of the whole leaf for a lookup that ensures the leaf is in the parent branch. +We need the leaf value RLC for external lookups that ensure the value has been set correctly. + +### is_long & is_short are booleans and the sum is 1 + +`is_short` means value has only one byte and consequently, the RLP of +the value is only this byte itself. If there are more bytes, the value is +equipped with two RLP meta bytes, like 161 160 if there is a +value of length 32 (the first RLP byte means 33 bytes after it, the second +RLP byte means 32 bytes after it). + +`is_short` example: +`[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13]` + +`is_long` example: +`[161 160 187 239 170 18 88 1 56 188 38 60 149 117 120 38 223 78 36 235 129 201 170 170 170 170 170 170 170 170 170 170 170 170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14]` + +We need to ensure `is_long` and `is_short` are booleans and that `is_long + is_short = 1`. + +### Leaf RLC + +We need to ensure that the stored leaf RLC is the same as the computed one. + +### Leaf value RLC + +We need to ensure that the stored leaf value RLC is the same as the computed one. + +#### Leaf key C RLC properly copied & Leaf value S RLC properly copied + +To enable external lookups we need to have the following information in the same row: + + - key RLC: we copy it to `sel1` column from the leaf key C row + - previous (`S`) leaf value RLC: we copy it to `sel2` column from the leaf value `S` row + - current (`C`) leaf value RLC: stored in `acc_c` column + + #### s_main are 0s when there is no storage leaf (just a placeholder) + + `sel` column in branch children rows determines whether the `modified_node` is empty child. + For example when adding a new storage leaf to the trie, we have an empty child in `S` proof + and non-empty in `C` proof. + When there is an empty child, we have a placeholder leaf under the last branch. + + If `sel = 1` which means an empty child, we need to ensure that the value is set to 0 + in the placeholder leaf. + + Note: For a leaf without a branch (means it is in the first level of the trie) + the constraint is in `storage_root_in_account_leaf.rs`. From 4f920317c9b63f9837f3bca52458f445d6d736d2 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 19 Sep 2022 16:54:05 +0200 Subject: [PATCH 53/92] documenting drifted leaf --- specs/mpt/storage_leaf.md | 246 ++++++++++++++++++++++++++++++++++++-- 1 file changed, 237 insertions(+), 9 deletions(-) diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 8d15a53f8..92b09d27b 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -327,17 +327,245 @@ To enable external lookups we need to have the following information in the same - previous (`S`) leaf value RLC: we copy it to `sel2` column from the leaf value `S` row - current (`C`) leaf value RLC: stored in `acc_c` column - #### s_main are 0s when there is no storage leaf (just a placeholder) +#### s_main are 0s when there is no storage leaf (just a placeholder) - `sel` column in branch children rows determines whether the `modified_node` is empty child. - For example when adding a new storage leaf to the trie, we have an empty child in `S` proof - and non-empty in `C` proof. - When there is an empty child, we have a placeholder leaf under the last branch. +`sel` column in branch children rows determines whether the `modified_node` is empty child. +For example when adding a new storage leaf to the trie, we have an empty child in `S` proof +and non-empty in `C` proof. +When there is an empty child, we have a placeholder leaf under the last branch. - If `sel = 1` which means an empty child, we need to ensure that the value is set to 0 - in the placeholder leaf. +If `sel = 1` which means an empty child, we need to ensure that the value is set to 0 +in the placeholder leaf. - Note: For a leaf without a branch (means it is in the first level of the trie) - the constraint is in `storage_root_in_account_leaf.rs`. +Note: For a leaf without a branch (means it is in the first level of the trie) +the constraint is in `storage_root_in_account_leaf.rs`. +#### RLP leaf short value short +When the leaf is short (first key byte in `s_main.bytes[0]` in the leaf key row) and the value +is short (first value byte in `s_main.rlp1` in the leaf value row), we need to check that: +`s_rlp1_prev - 192 - s_rlp2_prev + 128 - 1 - 1 = 0`. + +The first `-1` presents the byte occupied by `s_rlp2_prev`. +The second `-1` presents the length of the value which is 1 because the value is short in this case. + +Example: +`[226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]` + +In the example: `34 = 226 - 192` gives the length of the RLP stream. `32 = 160 - 128` gives the length +of the key. That means there are 34 bytes after the first byte, 32 of these are occupied by the key, +1 is occupied by `s_rlp2_prev`, and 1 is occupied by the value. + +#### RLP leaf long value long + +When the leaf is long (first key byte in `s_main.bytes[1]` in the leaf key row) and the value +is long (first value byte in `s_main.bytes[0]` in the leaf value row), we need to check that: +`s_rlp2_prev - s_bytes0_prev + 128 - 1 - (s_rlp2_cur - 128 + 1 + 1) = 0`. + +The expression `s_rlp2_prev - s_bytes0_prev + 128 - 1` gives us the number of bytes that are to be left +in the value. The expression `s_rlp2_cur - 128 + 1 + 1` gives us the number of bytes in the leaf. + +Note that there is an additional constraint to ensure `s_main.rlp1 = s_main.rlp2 + 1`. + +Example: +`[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` +`[161 160 187 239 170 18 88 1 56 188 38 60 149 117 120 38 223 78 36 235 129 201 170 170 170 170 170 170 170 170 170 170 170 170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14]` + +67 is the number of bytes after `s_main.rlp2`. `160 - 128 + 1` is the number of bytes that are occupied +by the key and the byte that stores key length. +In the next row, we have `32 = 160 - 128` bytes after `s_main.rlp2`, but we need to take into +account also the two bytes `s_main.rlp1` and `s_main.rlp2`. + +#### RLP leaf short value long + +When the leaf is short (first key byte in `s_main.bytes[0]` in the leaf key row) and the value +is long (first value byte in `s_main.bytes[0]` in the leaf value row), we need to check that: +`s_rlp1_prev - 192 - s_rlp2_prev + 128 - 1 - (s_rlp2_cur - 128 + 1 + 1) = 0`. + +The expression `s_rlp1_prev - 192 - s_rlp2_prev + 128 - 1` gives us the number of bytes that are to be left in the value. The expression `s_rlp2_cur - 128 + 1 + 1` gives us the number of bytes in the leaf. + +#### RLP long value check + +When the leaf is long (first key byte in `s_main.bytes[1]` in the leaf key row) +we need to ensure that `s_main.rlp1 = s_main.rlp2 + 1`. + +#### RLP check last level or one nibble & short value + +When the leaf is in the last level of the trie and the value is short, +we need to ensure that `s_main.rlp2 = 32`. + +Note that in this case we do not have the length of the key stored in `s_main.rlp2` or `s_main.bytes[0]`. + +Example: `[194,32,1]` + +#### RLP check last level or one nibble & long value + +When the leaf is in the last level of the trie and the value is long or there is one nibble in the key, +we need to check: +`s_rlp1_prev - 192 - 1 - (s_rlp2_cur - 128 + 1 + 1) = 0`. + +`s_rlp1_prev - 192 - 1` gives us the number of bytes that are to be in the leaf value row, while +s_rlp2_cur - 128 + 1 + 1 gives us the number of bytes in the leaf value row. + +Note that in this case we do not have the length of the key stored in `s_main.rlp2` or `s_main.bytes[0]`. + +Example: +`[227,32,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170]` + +#### If placeholder leaf without branch (sel = 1), then storage trie is empty + +`sel = 1` in the leaf value row when the leaf is only a placeholder (it is added or deleted and +thus there is no leaf in either `S` or `C` proof). + +This appears when a first leaf is added to the empty trie or when the only leaf is deleted from the trie. +This selector is used to trigger off the constraint for the leaf hash being the same as +the storage trie root (because leaf in this case is just a placeholder) in +`storage_root_in_account_leaf.rs`. +These constraints prevent setting `sel = 1` (and thus triggering off the constraint for the leaf hash +to be the storage trie) in cases when the storage trie is not empty. + +### Leaf hash in parent + +It needs to be checked that the hash of a leaf is in the parent node. We do this by a lookup +into keccak table: `lookup(leaf_hash_rlc, parent_node_mod_child_rlc)`. + +### Non-hashed leaf in parent + +When the leaf is not hashed (shorter than 32 bytes), it needs to be checked that its RLC +is the same as the RLC of the modified node in the parent branch. + +When leaf is not hashed, the `mod_node_hash_rlc` stores the RLC of the leaf bytes +(instead of the RLC of leaf hash). So we take the leaf RLC and compare it to the value +stored in `mod_node_hash_rlc` in the parent branch. + +Note: `branch_parallel.rs` checks that there are 0s in `*_bytes` after the last +byte of the non-hashed branch child (otherwise some corrupted RLC could be provided). + +### Leaf hash in parent (branch placeholder) + +Lookup for case when there is a placeholder branch - in this case we need to +check the hash to correspond to the modified node of the branch above the placeholder branch. + +### Range lookups + +Range lookups ensure that `s_main`, `s_main.rlp1`, `s_main.rlp2` columns are all bytes (between 0 - 255). + +### 0s in s_main.bytes after the last byte value + +There are 0s in `s_main.bytes` after the last value byte. + +## Leaf key in added branch constraints + +A storage leaf occupies 5 rows. +Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. +The rows are the following: +``` +LEAF_KEY_S +LEAF_VALUE_S +LEAF_KEY_C +LEAF_VALUE_C +LEAF_DRIFTED +``` + +An example of leaf rows: +``` +[226 160 32 235 117 17 208 2 186 74 12 134 238 103 127 37 240 27 164 245 42 218 188 162 9 151 17 57 90 177 190 250 180 61 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[225 159 63 117 31 216 242 20 172 137 89 10 84 218 35 38 178 182 67 5 68 54 127 178 216 248 46 67 173 108 157 55 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[225 159 59 117 17 208 2 186 74 12 134 238 103 127 37 240 27 164 245 42 218 188 162 9 151 17 57 90 177 190 250 180 61 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +``` + +The `LEAF_DRIFTED` row is nonempty when a leaf is added (or deleted) to the position in trie where there is already +an existing leaf. This appears when an existing leaf and a newly added leaf have the same initial key nibbles. +In this case, a new branch is created and both leaves (existing and newly added) appear in the new branch. +`LEAF_DRIFTED` row contains the key bytes of the existing leaf once it drifted down to the new branch. + +The constraints for `LEAF_DRIFTED` row are very similar to the ones for `LEAF_KEY` rows, but we have +different selectors (different row) and there are some scenarios that do not appear here, like being in +the first level of the trie. Also, when computing the leaf RLC, we need to take a different approach because +the leaf value for the drifted leaf is stored in a parallel proof. + +### Storage leaf in added branch RLC + +It needs to be ensured that the leaf intermediate RLC (containing the leaf key bytes) is properly computed. +The intermediate RLC is then used to compute the final leaf RLC (containing the leaf value bytes too). +Finally, the lookup is used to check that the hash that +corresponds to the leaf RLC is in the parent branch at `drifted_pos` position. + +#### is_long: s_rlp1 = 248 + +When `is_long` (the leaf value is longer than 1 byte), `s_main.rlp1` needs to be 248. + +Example: +`[248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3]` + +#### flag1 is boolean & flag2 is boolean + +The two values that store the information about what kind of case we have need to be boolean. + +#### Leaf key RLC (short or long) + +We need to ensure that the RLC of the row is computed properly for `is_short` and +`is_long`. We compare the computed value with the value stored in `accumulators.acc_s.rlc`. + +#### Leaf key RLC (last level or one nibble) + +We need to ensure that the RLC of the row is computed properly for `last_level` and +`one_nibble`. We compare the computed value with the value stored in `accumulators.acc_s.rlc`. + +`last_level` and `one_nibble` cases have one RLP byte (`s_rlp1`) and one byte (`s_rlp2`) +where it is 32 (for `last_level`) or `48 + last_nibble` (for `one_nibble`). + +#### 0s after the last key nibble + +There are 0s in `s_main.bytes` after the last key nibble (this does not need to be checked for `last_level` and `one_nibble` as in these cases `s_main.bytes` are not used). + +### mult_diff + +The intermediate RLC value of this row is stored in `accumulators.acc_s.rlc`. +To compute the final leaf RLC in `LEAF_VALUE` row, we need to know the multiplier to be used +for the first byte in the leaf value row (which is in a parallel proof). +The multiplier is stored in `accumulators.acc_s.mult`. +We check that the multiplier corresponds to the length of the key that is stored in `s_main.rlp2` +for `is_short` and in `s_main.bytes[0]` for `is_long`. + +Note: `last_level` and `one_nibble` have fixed multiplier because the length of the nibbles +in these cases is fixed. + +### Storage drifted leaf key RLC + +We need to ensure that the drifted leaf has the proper key RLC. It needs to be the same as the key RLC +of this same leaf before it drifted to the new branch. The difference is that after being drifted the leaf +has one nibble less stored in the key - `drifted_pos` nibble that is in a branch parallel to the branch +placeholder (if it is an extension node there are more nibbles of a difference). + +``` +Leaf key S +Leaf value S +Leaf key C +Leaf value C +Drifted leaf (leaf in added branch) +``` + +Add case (S branch is placeholder): +``` + Branch S || Branch C + Placeholder branch || Added branch + Leaf S || Leaf C + || Drifted leaf (this is Leaf S drifted into Added branch) +``` + +Leaf S needs to have the same key RLC as Drifted leaf. +Note that Leaf S key RLC is computed by taking the key RLC from Branch S and +then adding the bytes in Leaf key S row. +Drifted leaf RLC is computed by taking the key RLC from Added branch and +then adding the bytes in Drifted leaf row. + +Delete case (C branch is placeholder): +``` + Branch S || Branch C + Branch to be deleted || Placeholder branch + Leaf S (leaf to be deleted) || Leaf C + Leaf to be drifted one level up || +``` From 960d98b13cb2678a6747c2947ab9f4d408ce30e8 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 20 Sep 2022 16:17:50 +0200 Subject: [PATCH 54/92] MPT specs updated --- specs/mpt/branch.md | 8 ++ specs/mpt/extension-node.md | 8 ++ specs/mpt/storage_leaf.md | 165 +++++++++++++++++++++++++++++++++++- 3 files changed, 177 insertions(+), 4 deletions(-) diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index 112287444..62867c8fd 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -333,6 +333,14 @@ When branch is in the first level of the account trie, we need to check whether Note: branch in the first level cannot be shorter than 32 bytes (it is always hashed). +### Branch in first level of storage trie - hash compared to the storage root + +When branch is in the first level of the storage trie, we need to check whether +`hash(branch) = storage_trie_root`. We do this by checking whether +`(branch_RLC, storage_trie_root_RLC)` is in the keccak table. + +Note: branch in the first level cannot be shorter than 32 bytes (it is always hashed). + ### Branch hash in parent branch This is the scenario described at the top of the file. diff --git a/specs/mpt/extension-node.md b/specs/mpt/extension-node.md index 63da0fb20..2b8ba05e6 100644 --- a/specs/mpt/extension-node.md +++ b/specs/mpt/extension-node.md @@ -654,6 +654,14 @@ its hash needs to be compared to the root of the trie. Note: the branch counterpart is implemented in `branch_hash_in_parent.rs`. +### Extension node in first level of storage trie - hash compared to the storage root + +When extension node is in the first level of the storage trie, we need to check whether +`hash(ext_node) = storage_trie_root`. We do this by checking whether +`(ext_node_RLC, storage_trie_root_RLC)` is in the keccak table. + +Note: extension node in the first level cannot be shorter than 32 bytes (it is always hashed). + ### Extension node hash in parent branch Check whether the extension node hash is in the parent branch. diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 92b09d27b..1ec696c77 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -136,8 +136,8 @@ the leaf and in the leaf) is 64. #### Leaf key RLC s_bytes0 = 32 (short) -If `c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[0]`. -This is because `c1` in the branch above means there is an even number of nibbles left +If `is_c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[0]`. +This is because `is_c1` in the branch above means there is an even number of nibbles left and we have an even number of nibbles in the leaf, the first byte (after RLP bytes specifying the length) of the key is 32. @@ -158,8 +158,8 @@ when computing `key_rlc_acc_short`. #### Leaf key acc s_bytes1 = 32 (long) -If `c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[1]`. -This is because `c1` in the branch above means there is an even number of nibbles left +If `is_c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[1]`. +This is because `is_c1` in the branch above means there is an even number of nibbles left and we have an even number of nibbles in the leaf, the first byte (after RLP bytes specifying the length) of the key is 32. @@ -178,6 +178,10 @@ The computed value needs to be the same as the value stored `key_rlc` column. Note: No need to distinguish between `c16` and `c1` here as it was already when computing `key_rlc_acc_long`. +#### Leaf key acc s_rlp2 = 32 (last level) + +When the leaf is in the last level there are no nibbles stored in the key and `s_main.rlp2 = 32`. + #### Key RLC (last level) We need to ensure the leaf key RLC is computed properly. @@ -429,6 +433,13 @@ to be the storage trie) in cases when the storage trie is not empty. It needs to be checked that the hash of a leaf is in the parent node. We do this by a lookup into keccak table: `lookup(leaf_hash_rlc, parent_node_mod_child_rlc)`. +### Hash of the only storage leaf is storage trie root + +If there is no branch or extension node in the storage trie (just a leaf), it needs +to be ensured that the hash of the (only) leaf is the storage root. + +Note: storage leaf in the first level cannot be shorter than 32 bytes (it is always hashed). + ### Non-hashed leaf in parent When the leaf is not hashed (shorter than 32 bytes), it needs to be checked that its RLC @@ -569,3 +580,149 @@ Delete case (C branch is placeholder): Leaf S (leaf to be deleted) || Leaf C Leaf to be drifted one level up || ``` + +#### Leaf key RLC s_bytes0 = 32 (short) + +If `is_c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[0]`. +This is because `c1` in the branch above means there is an even number of nibbles left +and we have an even number of nibbles in the leaf, the first byte (after RLP bytes +specifying the length) of the key is 32. + +Note: `is_c1` is taken from the branch parallel to the placeholder branch. This is because +the leaf in added branch is in this branch (parallel to placeholder branch). +When computing the key RLC, `is_c1` means `drifted_pos` needs to be multiplied by 1, while +`is_c16` means `drifted_pos` needs to be multiplied by 16. + +#### Drifted leaf key RLC S (short) + +When `S` placeholder, `leaf_key_s_rlc` is the key RLC of the leaf before it drifted down +in a new branch. We retrieve it from `LEAF_KEY_S` row. +This value needs to be the same as the key RLC of the drifted leaf. + +#### Drifted leaf key RLC C (short) + +When `C` placeholder, `leaf_key_c_rlc` is the key RLC of the leaf after its neighbour leaf +has been deleted (and there were only two leaves, so the branch was deleted). +We retrieve it from `LEAF_KEY_C` row. +This value needs to be the same as the key RLC of the neighbour leaf (neighbour of +the leaf that was deleted) before the leaf was deleted. + +#### Leaf key acc s_bytes1 = 32 (long) + +If `is_c1` and branch above is not a placeholder, we have 32 in `s_main.bytes[1]`. +This is because `is_c1` in the branch above means there is an even number of nibbles left +and we have an even number of nibbles in the leaf, the first byte (after RLP bytes +specifying the length) of the key is 32. + +#### Drifted leaf key RLC S (long) + +Same as above `Drifted leaf key S (short)` but for `long` (key starts in `s_main.bytes[1]` instead +of `s_main.bytes[0]`). + +#### Drifted leaf key RLC C (long) + +Same as above `Drifted leaf key C (short)` but for `long` (key starts in `s_main.bytes[1]` instead +of `s_main.bytes[0]`). + +#### Leaf key acc s_rlp2 = 32 (last level) + +When the leaf is in the last level there are no nibbles stored in the key and `s_main.rlp2 = 32`. + +#### Drifted leaf key RLC S (last level) + +When `S` placeholder, `leaf_key_s_rlc` is the key RLC of the leaf before it drifted down +in a new branch. We retrieve it from `LEAF_KEY_S` row. +This value needs to be the same as the key RLC of the drifted leaf. + +We do not need to add any nibbles to the key RLC as there are none stored in the storage leaf +(last level). + +#### Drifted leaf key RLC C (last level) + +When `C` placeholder, `leaf_key_c_rlc` is the key RLC of the leaf after its neighbour leaf +has been deleted (and there were only two leaves, so the branch was deleted). +We retrieve it from `LEAF_KEY_C` row. +This value needs to be the same as the key RLC of the neighbour leaf (neighbour of +the leaf that was deleted) before the leaf was deleted. + +We do not need to add any nibbles to the key RLC as there are none stored in the storage leaf +(last level). + +#### Drifted leaf key RLC S (one nibble) + +When `S` placeholder, `leaf_key_s_rlc` is the key RLC of the leaf before it drifted down +in a new branch. We retrieve it from `LEAF_KEY_S` row. +This value needs to be the same as the key RLC of the drifted leaf. + +We only need to add one nibble to the key RLC. + +#### Drifted leaf key RLC C (one nibble) + +When `C` placeholder, `leaf_key_c_rlc` is the key RLC of the leaf after its neighbour leaf +has been deleted (and there were only two leaves, so the branch was deleted). +We retrieve it from `LEAF_KEY_C` row. +This value needs to be the same as the key RLC of the neighbour leaf (neighbour of +the leaf that was deleted) before the leaf was deleted. + +We only need to add one nibble to the key RLC. + +### Leaf key in added branch: neighbour leaf in the added branch (S) + +It needs to be ensured that the hash of the drifted leaf is in the parent branch +at `drifted_pos` position. + +Rows: +``` +Leaf key S +Leaf value S +Leaf key C +Leaf value C +Drifted leaf (leaf in added branch) +``` + +Add case (S branch is placeholder): +``` + Branch S || Branch C + Placeholder branch || Added branch + Leaf S || Leaf C + || Drifted leaf (this is Leaf S drifted into Added branch) +``` + +We need to compute the RLC of the drifted leaf. We compute the intermediate RLC +from the bytes in `LEAF_DRIFTED` row. And we retrieve the value from `LEAF_VALUE_S` row +(where there is the same leaf, but before it drifted down into a new branch). + +Then we execute the lookup into a keccak table: `lookup(leaf_rlc, branch_child_at_drifted_pos_rlc)`. + +### Leaf key in added branch: neighbour leaf in the deleted branch (C) + +It needs to be ensured that the hash of the drifted leaf is in the parent branch +at `drifted_pos` position. + +Rows: +``` +Leaf key S +Leaf value S +Leaf key C +Leaf value C +Drifted leaf (leaf in added branch) +``` + +Delete case (C branch is placeholder): +``` + Branch S || Branch C + Branch to be deleted || Placeholder branch + Leaf S (leaf to be deleted) || Leaf C + Leaf to be drifted one level up || +``` + +We need to compute the RLC of the leaf that is a neighbour leaf of the leaf that is to be deleted. +We compute the intermediate RLC from the bytes in `LEAF_DRIFTED` row. +And we retrieve the value from `LEAF_VALUE_C` row +(where there is the same leaf, but after it was moved one level up because of the deleted branch). + +Then we execute the lookup into a keccak table: `lookup(leaf_rlc, branch_child_at_drifted_pos_rlc)`. + +### Range lookups + +Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). From 179daa327f25cbb8a08ba251c9c988ba6bed4492 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 21 Sep 2022 16:13:25 +0200 Subject: [PATCH 55/92] proof chain constraints; storage leaf constraints updated --- specs/mpt/mpt-proof.md | 3 +- specs/mpt/proof_chain.md | 105 ++++++++++++++++++++++++++++++++++++++ specs/mpt/storage_leaf.md | 40 ++++++++++----- 3 files changed, 135 insertions(+), 13 deletions(-) create mode 100644 specs/mpt/proof_chain.md diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index 4d1e2c09d..deb5b8ae6 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -161,4 +161,5 @@ The constraints are grouped according to different trie node types: * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). * Storage leaf constraints documentation is in [storage-leaf.md](storage-leaf.md). * Branch constraints documentation is in [branch.md](branch.md). - * Extension node constraints documentation is in [extension-node.md](extension-node.md). \ No newline at end of file + * Extension node constraints documentation is in [extension-node.md](extension-node.md). + * Proof chain constraints documentation is in [proof_chain.md](proof_chain.md.md). \ No newline at end of file diff --git a/specs/mpt/proof_chain.md b/specs/mpt/proof_chain.md new file mode 100644 index 000000000..997c339e1 --- /dev/null +++ b/specs/mpt/proof_chain.md @@ -0,0 +1,105 @@ +# Proof chain + +The selector `not_first_level` denotes whether the node is not in the first account trie level. +Thus, each account modification proof starts with `not_first_level = 0` rows. +However, a fixed column cannot be used because the first level can appear at different rows in different +proofs. Instead, an advice column is used, but it needs to be ensured that there cannot be any rogue +assignments. + +Potential attacks: + + - `not_first_level` is assigned to 1 in the first level of the proof. This way the attacker could avoid + checking that the hash of the first level node is the same as the trie root, which would make + the proof meaningless. We prevent this by ensuring the first row has `not_first_level = 0` + (for the first row we have a fixed column selector), that after the storage leaf (proof + ends with a storage leaf or account leaf) there is a row with `not_first_level = 0`, + and that after the account leaf when it is non storage modification there + is a row with `not_first_level = 0`. + - `not_first_level` is assigned to 0 in the middle of the proof - in this case the address RLC + constraints fail. + - Additional proof is added between the proofs (we have more `not_first_level = 0` than expected) - + in this case the `start_root/final_root` lookups will fail. + +It needs to be ensured that `start_root` and `final_root` change only in the first row of +the `not_first_level = 0` node. + +Note: Comparing the roots with the hash of branch / extension node in the first level +(or account leaf if in the first level) is done in `branch_hash_in_parent.rs`, `extension_node.rs` +(or `account_leaf_storage_codehash.rs` if the account leaf is in the first level). + +### Proof chaining constraints + +#### First row needs to have not_first_level = 0 (account leaf key) + +In the first row, it needs to be `not_first_level = 0`. The selector `q_not_first` +is a fixed column, so can rely on it we are really in the first row. + +Two nodes can appear in the first level: account leaf or branch / extension node. +The storage leaf cannot appear as it requires to have an account leaf above it +(a separate constraint for this). +Here, we check for the case when the account leaf is in the first level. + +#### First row needs to have not_first_level = 0 (branch init)", + +In the first row, it needs to be `not_first_level = 0`. The selector `q_not_first` +is a fixed column, so can rely on it we are really in the first row. + +Two nodes can appear in the first level: account leaf or branch / extension node. +The storage leaf cannot appear as it requires to have an account leaf above it +(a separate constraint for this). +Here, we check for the case when the branch / extension node is in the first level. + +#### not_first_level = 0 follows the last storage leaf row (account leaf) + +When there is a last storage leaf row in the previous row, in the current row it needs +to be `not_first_level = 0` (we are in account leaf). + +#### not_first_level = 0 follows the last storage leaf row (branch init) + +When there is a last storage leaf row in the previous row, in the current row it needs +to be `not_first_level = 0` (we are in branch init). + + +#### not_first_level = 0 follows the last account leaf row when non storage mod proof (account leaf) + +When there is a last account leaf row in the previous row and the proof is about +non storage modification (proof ends with account leaf), +in the current row it needs to be `not_first_level = 0` (we are in account leaf). + +#### not_first_level = 0 follows the last account leaf row when non storage mod proof (branch init) + +When there is a last account leaf row in the previous row and the proof is about +non storage modification (proof ends with account leaf), +in the current row it needs to be `not_first_level = 0` (we are in branch init). + +#### not_first_level does not change except at is_branch_init or is_account_leaf_key_s or is_storage_leaf_key_s + +`not_first_level` can change only in `is_branch_init` or `is_account_leaf_key_s` or +`is__leaf_key_s`. + +Note that the change `not_first_level = 1` to `not_first_level = 0` (going to the first level) +is covered by the constraints above which constrain when such a change can occur. +On the other hand, this constraint ensured that `not_first_level` is changed in the middle +of the node rows. + +#### start_root can change only when in the first row of the first level + +`start_root` can change only in the first row of the first level. +We check that it stays the same always except when `not_first_level_prev = not_first_level_cur + 1`, + +#### final_root can change only when in the first row of the first level + +We check that it stays the same always except when `not_first_level_prev = not_first_level_cur + 1`, +that means when `not_first_level` goes from 1 to 0. + +#### final_root_prev = start_root_cur when not_first_level = 1 -> not_first_level = 0 + +When we go from one modification to another, the previous `final_root` needs to be +the same as the current `start_root`. + +#### not_first_level 0 -> 1 in branch init after the first level + +If `not_first_level` is 0 in a previous row (being in branch init), +then `not_first_level` needs to be 1 in the current row (preventing two consecutive +blocks to be `not_first_level = 0`). + diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 1ec696c77..3dcadef5f 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -416,18 +416,34 @@ Note that in this case we do not have the length of the key stored in `s_main.rl Example: `[227,32,161,160,187,239,170,18,88,1,56,188,38,60,149,117,120,38,223,78,36,235,129,201,170,170,170,170,170,170,170,170,170,170,170,170]` -#### If placeholder leaf without branch (sel = 1), then storage trie is empty - -`sel = 1` in the leaf value row when the leaf is only a placeholder (it is added or deleted and -thus there is no leaf in either `S` or `C` proof). - -This appears when a first leaf is added to the empty trie or when the only leaf is deleted from the trie. -This selector is used to trigger off the constraint for the leaf hash being the same as -the storage trie root (because leaf in this case is just a placeholder) in -`storage_root_in_account_leaf.rs`. -These constraints prevent setting `sel = 1` (and thus triggering off the constraint for the leaf hash -to be the storage trie) in cases when the storage trie is not empty. - +### Hash of the only storage leaf is storage trie root + +If there is no branch or extension node in the storage trie (just a leaf), it needs +to be ensured that the hash of the (only) leaf is the storage root. + +Note: Storage leaf in the first level cannot be shorter than 32 bytes (it is always hashed). + +### Hash of the only storage leaf which is placeholder requires empty storage root + +When there is only one leaf in a storage trie and it is a placeholder, the trie needs to +be empty - the storage root is hash of an empty trie. +This occurs when the storage trie is empty and the first leaf is added (or reversed when +there is only one leaf and it is deleted) - in this case we have a placeholder leaf in +`S` proof and only one leaf in `C` proof. We need to check that in `S` proof we have an +empty trie. + +### Hash of the only storage leaf which is after a placeholder is storage trie root + +If there is no branch or extension node in the storage trie (just a leaf) +and the only leaf appears after branch placeholder, it needs +to be ensured that the hash of the (only) leaf is the storage root. +This appears when there is only one leaf in the storage trie and we add another leaf which +means the only leaf in a trie is replaced by a branch or extension node (in delete scenario +we have two leaves and one is deleted) - that means we have a branch placeholder in `S` proof +and the leaf after it. + +Note: Branch in the first level cannot be shorter than 32 bytes (it is always hashed). + ### Leaf hash in parent It needs to be checked that the hash of a leaf is in the parent node. We do this by a lookup From 55908604e127bebe6850be73fcbf7a0584783022 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 22 Sep 2022 16:18:30 +0200 Subject: [PATCH 56/92] MPT specs: proof chain & selectors --- specs/mpt/mpt-proof.md | 3 +- specs/mpt/proof_chain.md | 36 ++++++++++++++ specs/mpt/selectors.md | 104 +++++++++++++++++++++++++++++++++++++++ 3 files changed, 142 insertions(+), 1 deletion(-) create mode 100644 specs/mpt/selectors.md diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index deb5b8ae6..a48fba621 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -162,4 +162,5 @@ The constraints are grouped according to different trie node types: * Storage leaf constraints documentation is in [storage-leaf.md](storage-leaf.md). * Branch constraints documentation is in [branch.md](branch.md). * Extension node constraints documentation is in [extension-node.md](extension-node.md). - * Proof chain constraints documentation is in [proof_chain.md](proof_chain.md.md). \ No newline at end of file + * Proof chain constraints documentation is in [proof_chain.md](proof_chain.md). + * Selector constraints documentation is in [selectors.md](selectors.md). \ No newline at end of file diff --git a/specs/mpt/proof_chain.md b/specs/mpt/proof_chain.md index 997c339e1..6f0c832ca 100644 --- a/specs/mpt/proof_chain.md +++ b/specs/mpt/proof_chain.md @@ -19,6 +19,9 @@ Potential attacks: constraints fail. - Additional proof is added between the proofs (we have more `not_first_level = 0` than expected) - in this case the `start_root/final_root` lookups will fail. + - Proof without account proof part (only having storage proof) - the attacker could omit the witness + for account proof and thus avoid any account related checks. This is prevented with constraints + that ensure there is always an account proof before the storage proof. It needs to be ensured that `start_root` and `final_root` change only in the first row of the `not_first_level = 0` node. @@ -103,3 +106,36 @@ If `not_first_level` is 0 in a previous row (being in branch init), then `not_first_level` needs to be 1 in the current row (preventing two consecutive blocks to be `not_first_level = 0`). +#### address_rlc is 0 in first row of first level + +It needs to be ensured there is an account proof before the +storage proof. Otherwise the attacker could use only a storage proof with a properly +set `address_rlc` (storage mod lookup row contains `val_prev`, `val_cur`, `key_rlc`, +`address_rlc`) and it would not be detected that the account proof has not validated +(was not there). + +We make sure `address_rlc = 0` at the beginning of the proof (except if it is +the account leaf which already have set the proper `address_rlc`). This makes sure +that there is a step where `address_rlc` is set to the proper value. This step +should happen in the account leaf first row (there is a separate constraint that +allows `address_rlc` to be changed only in the account leaf first row). +So to have the proper `address_rlc` we have to have an account leaf (and thus an account proof). + +If the attacker would try to use a storage proof without an account proof, the first +storage proof node would need to be denoted by `not_first_level = 0` (otherwise +constraints related to `not_first_level` would fail - there needs to be `not_firstl_level = 0` +after the end of the previous proof). But then if this node is a branch, this constraint +would make sure that `address_rlc = 0`. As `address_rlc` cannot be changed later on +in the storage proof, the lookup will fail (except for the negligible probability that +the lookup really requires `address_rlc = 0`). If the first node is a storage leaf, we +need to ensure in a separate constraint that `address_rlc = 0` in this case too. + +#### address_rlc is 0 in first row of first level when in storage leaf + +Ensuring that the storage proof cannot be used without the account proof - in case the storage +proof would consist only of a storage leaf. + +#### address_rlc does not change except at is_account_leaf_key_s or branch init in first level + +It needs to be ensured that `address_rlc` changes only at the first row of the account leaf +or in the branch init row if it is in the first level. diff --git a/specs/mpt/selectors.md b/specs/mpt/selectors.md new file mode 100644 index 000000000..2f8e12089 --- /dev/null +++ b/specs/mpt/selectors.md @@ -0,0 +1,104 @@ +# Selectors + +It needs to be ensured: + + - The selectors denoting the row type are boolean values. + - For sets of selectors that are mutually exclusive, it needs to be ensured that + their sum is 1 (for example the selector for the proof type). + - The proper order of rows. + +#### Type of the row is set + +The type of the row needs to be set (if all selectors would be 0 for a row, then all constraints +would be switched off). + +#### Selectors need to be boolean values + +It needs to be ensured that all selectors are boolean. To trigger the constraints for +a specific row the selectors could be of any nonnegative value, but being booleans +it makes it easier to write the constraints that ensure the subsets of constraints are +mutually exclusive and the constraints to ensure the proper order of rows. + +#### is_storage_mod + is_nonce_mod + is_balance_mod + is_account_delete_mod + is_non_existing_account + is_codehash_mod = 1", + +The type of the proof needs to be set. + +### Rows order ensured & proof type cannot change in rows corresponding to one modification + +#### Branch init can appear only after certain row types + +Branch init can start: + + - after another branch (means after extension node C) + - after account leaf (account -> storage proof) + - after storage leaf (after storage mod proof ends) + - it can be in the first row. + +#### Last branch row -> extension node S + +Extension node S row follows the last branch row. + +#### Extension node S -> extension node C", + +Extension node C row follows the extension node S row. + +#### Account leaf key S can appear only after certain row types + +Account leaf key S can appear after extension node C (last branch row) or after +the last storage leaf row (if only one account in the trie). + +#### Account leaf key S -> account leaf key C + +Account leaf key C can appear only after account leaf key S. + +#### Account leaf key C -> non existing account row + +Non existing account row can appear only after account leaf key C row. + +#### Non existing account row -> account leaf nonce balance S + +Account leaf nonce balance S row can appear only after non existing account row. + +#### Account leaf nonce balance S -> account leaf nonce balance C + +Account leaf nonce balance C row can appear only after account leaf nonce balance S row. + +#### Account leaf nonce balance C -> account leaf storage codehash S + +Account leaf storage codehash S row can appear only after account leaf nonce balance C row. + +#### Account leaf storage codehash S -> account leaf storage codehash C + +Account leaf storage codehash C row can appear only after account leaf storage codehash S row. + +#### Account leaf storage codehash C -> account leaf added in branch + +Account leaf in added branch row can appear only after account leaf storage codehash C row. + +#### Storage leaf key S follows extension node C or account leaf storage codehash C + +Storage leaf key S row can appear after extension node C row or after account leaf storage codehash C. + +#### Storage leaf key S -> storage leaf value S + +Storage leaf value S row can appear only after storage leaf key S row. + +#### Storage leaf value S -> storage leaf key C + +Storage leaf key C row can appear only after storage leaf value S row. + +#### Storage leaf key C -> storage leaf value C + +Storage leaf value C row can appear only after storage leaf key C row. + +#### Storage leaf value C -> storage leaf in added branch + +Storage leaf in added branch row can appear only after storage leaf value C row. + +#### In the first row only certain row types can occur + +In the first row only account leaf key S row or branch init row can occur. + +### Proof type can change only in certain rows + +Proof type can change only in the first row of the first level. \ No newline at end of file From 6e01d000828c082a03863df6e66edfba4a3585c5 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 13 Oct 2022 16:55:13 +0200 Subject: [PATCH 57/92] mpt specs updated --- specs/mpt/account-leaf.md | 59 +++++++++++++++++++++++++++++++++------ specs/mpt/selectors.md | 15 ++++++++++ specs/mpt/storage_leaf.md | 10 +++++++ 3 files changed, 75 insertions(+), 9 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index d4f247a68..5359342d2 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -32,6 +32,13 @@ Example: [0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +Lookups: +We have nonce and balance in the same row - to enable lookups into the same columns (`value_prev`, `value`), +we enable nonce lookup in `ACCOUNT_LEAF_NONCE_BALANCE_S` row and balance lookup in `ACCOUNT_LEAF_NONCE_BALANCE_C` row. +This means we copy nonce C RLC to `ACCOUNT_LEAF_NONCE_BALANCE_S` row, +and balance S RLC to `ACCOUNT_LEAF_NONCE_BALANCE_C` row. +Constraints are added to ensure everything is properly copied. ``` There are two main scenarios when an account is added to the trie: @@ -325,11 +332,25 @@ Similarly as in `Balance RLP long` constraint, `Balance RLP short` constraint ensures the RLC of a balance is computed properly when balance is short. -#### S nonce RLC is correctly copied to C row +#### S nonce RLC is correctly copied to value_prev column -To enable lookup for nonce modification we need to have `S` nonce and `C` nonce -in the same row. For this reason, `S` nonce RLC is copied to `sel1` column in `C` row. -This constraint checks whether the value is properly copied. +To enable lookup for nonce modification we need to have S nonce and C nonce in the same row. +For this reason, S nonce RLC is copied to `value_prev` column. + +#### C nonce RLC is correctly copied to lookup row + +To enable lookup for nonce modification we need to have S nonce and C nonce in the same row. +For this reason, C nonce RLC is copied to `value` column in `ACCOUNT_LEAF_NONCE_BALANCE_S` row. + +#### C nonce RLC is correctly copied to NON_EXISTING_ACCOUNT row + +To enable lookup for nonce modification we need to have S nonce and C nonce in the same row. +For this reason, C nonce RLC is copied to `value` column in `NON_EXISTING_ACCOUNT` row. + +#### S balance RLC is correctly copied to C row + +To enable lookup for balance modification we need to have S balance and C balance in the same row. +For this reason, S balance RLC is copied to `value_prev` column in C row. #### S balance RLC is correctly copied to C row @@ -337,6 +358,13 @@ To enable lookup for balance modification we need to have `S` balance and `C` ba in the same row. For this reason, `S` balance RLC is copied to `sel2` column in `C` row. This constraint checks whether the value is properly copied. +#### C balance RLC is correctly copied to value column + +To enable lookup for balance modification we need to have S balance and C balance in the same row. +For this reason, C balance RLC is copied to `value` column in C row. +constraints.push(( + + #### If storage or balance or codehash modification: S nonce = C nonce We need to ensure there is only one modification at a time. If there is storage or @@ -593,13 +621,17 @@ the RLC of the codehash stored in some column too. The RLC is stored in `c_mod_node_hash_rlc`. We need to ensure that this value corresponds to the RLC of `c_main.bytes`. -### S storage root RLC is correctly copied to C row +#### S codehash RLC is correctly copied to C row -To enable lookup for storage root modification we need to have S storage root -and C storage root in the same row. -For this reason, S storage root RLC is copied to `sel1` column in C row. +To enable lookup for codehash modification we need to have S codehash +and C codehash in the same row. +For this reason, S codehash RLC is copied to `value_prev` column in C row. -Note: we do not need such constraint for codehash as the codehash never changes. +##### C codehash RLC is correctly copied to value row + +To enable lookup for codehash modification we need to have S codehash +and C codehash in the same row (`value_prev`, `value` columns). +C codehash RLC is copied to `value` column in C row. #### If nonce or balance or codehash modification: storage_root_s = storage_root_c @@ -896,6 +928,10 @@ The whole account leaf looks like: [0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] [0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + +Lookups: +We have nonce and balance in the same row - to enable lookups into the same columns (`value_prev`, `value`), +we enable nonce lookup in `ACCOUNT_NON_EXISTING` row and balance lookup in `ACCOUNT_LEAF_NONCE_BALANCE_C` row. ``` For the example of non-existing account proof account leaf see below: @@ -917,6 +953,9 @@ in the rows above (except for the `ACCOUNT_NON_EXISTING` row) and continues with Note that the selector (being 1 in this case) at `s_main.rlp1` specifies whether it is wrong leaf or nil case. +Lookups: +The `is_non_existing_account_proof` lookup is enabled in `ACCOUNT_NON_EXISTING` row. + ### Non existing account proof leaf address RLC (leaf not in first level, branch not placeholder) #### Account leaf key acc s_advice1 @@ -975,6 +1014,8 @@ Similarly as the gate above, but for the account leaf being in the first level. ### Address of wrong leaf and the enquired address are of the same length +#### The number of nibbles in the wrong leaf and the enquired address are the same + This constraint is to prevent the attacker to prove that some account does not exist by setting some arbitrary number of nibbles in the account leaf which would lead to a desired RLC. diff --git a/specs/mpt/selectors.md b/specs/mpt/selectors.md index 2f8e12089..9d891b280 100644 --- a/specs/mpt/selectors.md +++ b/specs/mpt/selectors.md @@ -23,6 +23,21 @@ mutually exclusive and the constraints to ensure the proper order of rows. The type of the proof needs to be set. +#### Proof type corresponds to boolean proof type selectors + +`proof_type` corresponds to `is_storage_mode, is_nonce_mod, ...`. + +The correspondence is: +``` +is_nonce_mod = 1 +is_balance_mod = 2 +is_codehash_mod = 3 +is_non_existing_account_proof = 4 +is_account_delete_mod = 5 +is_storage_mod = 6 +non_existing_storage_proof = 7 +``` + ### Rows order ensured & proof type cannot change in rows corresponding to one modification #### Branch init can appear only after certain row types diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 3dcadef5f..0886d738c 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -70,6 +70,16 @@ kind of case we have: `flag1: 0, flag0: 1`: `one_nibble` The constraints in `leaf_key.rs` apply to `LEAF_KEY_S` and `LEAF_KEY_C` rows. +The constraints ensure the hash of a storage leaf is in a parent branch and that the RLP +of the leaf is correct. + +Lookups: +The `is_storage_mod` lookup is enabled in `LEAF_VALUE_C` row. + +Note that there are no checks for example for the root as the constraints to ensure `start_root` +and `final_root` does not change (except in the first row of the modification) are in `proof_chain.rs` +and the constraints to ensure the lookup roots correspond to the roots of the trie are in the first +level nodes (`account_leaf_storage_codehash.rs` or `branch_hash_in_parent.rs`). ## Storage leaf key constraints From 34b25bfeaea2d9a567a79eac20372a29dd2f2e36 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 17 Oct 2022 16:22:54 +0200 Subject: [PATCH 58/92] mpt docs cleaned --- specs/mpt/helpers.md | 121 +++++ specs/mpt/mpt-proof.md | 97 ++-- specs/mpt/storage_leaf.md | 7 +- specs/mpt/{mpt-proof-old.md => visual.md} | 512 +++++++--------------- 4 files changed, 341 insertions(+), 396 deletions(-) create mode 100644 specs/mpt/helpers.md rename specs/mpt/{mpt-proof-old.md => visual.md} (65%) diff --git a/specs/mpt/helpers.md b/specs/mpt/helpers.md new file mode 100644 index 000000000..4d0b377b4 --- /dev/null +++ b/specs/mpt/helpers.md @@ -0,0 +1,121 @@ +# Helper techniques + +## Zeros in s_main/c_main after substream ends + +In various cases, `s_main.bytes` and `c_main.bytes` columns are used only to a certain point. +Consider the example below: + +``` +228, 130, 0, 149, 0, ..., 0 +``` + +In this example: + +``` +s_main.rlp1 = 228 +s_main.rlp2 = 130 +s_main.bytes[0] = 0 +s_main.bytes[1] = 149 +s_main.bytes[2] = 0 +... +s_main.bytes[31] = 0 +``` + +To prevent attacks on the RLC, it needs to be checked that `s_main.bytes[i] = 0` for `i > 1`: + +``` +s_main.bytes[2] = 0 +... +s_main.bytes[31] = 0 +``` + +The length of the substream is given by `s_main.rlp2`, it is `2 = 130 - 128` in the above example, +let us denote it by `len = 2`. +Also, there are constraints to ensure `s_main.bytes[i]` are bytes (between 0 and 255). + +Note that `(len - 1 - i) * s_main.bytes[0] < 33 * 255` ensures `s_main.bytes[i] = 0` for `i > len - 1`. +So we check that the expression `(len - 1 - i) * s_main.bytes[0]` is in the range table +containing elements from `0` to `33 * 255`. + +``` +(len - 1) * s_main.bytes[0] < 33 * 255 +(len - 2) * s_main.bytes[1] < 33 * 255 +From now on, key_len < 0: +(len - 3) * s_main.bytes[2] < 33 * 255 (Note that this will be true only if s_main.bytes[2] = 0) +(len - 4) * s_main.bytes[3] < 33 * 255 (Note that this will be true only if s_main.bytes[3] = 0) +(len - 5) * s_main.bytes[4] < 33 * 255 (Note that this will be true only if s_main.bytes[4] = 0) +``` + +That is because when `len - i` goes below 0, it becomes a huge number close to the field modulus. +Furthermore, `len` is at most 33. +When `len - i` is below 0 and is multiplied by `s_main.bytes[i]` which is at most `255`, it will be +bigger then `-32 * 255` which is much bigger than `33 * 255`, so it will not be in the range table +unless `s_main.bytes[i] = 0`. + +See `key_len_lookup` in `helpers.rs` for the implementation. + +## Randomness for computing the RLC nees to be properly set for usage in the next row + +As we have seen above, +in various cases, `s_main.bytes` are used only to certain point. Consider the example below: + +``` +228, 130, 0, 149, 0, ..., 0 +``` + +Let us say this is the storage leaf key row. For computation of the storage leaf RLC we need +to first compute the intermediate RLC in the storage leaf key row and then take into account the bytes +from the storage leaf value row as well. + +The RLC is thus computed in two steps. +The first step computes the RLC out of bytes `s_main.rlp1', 's_main.rlp2`, `s_main.bytes`. + +The first step: + +``` +rlc_first_step = s_main.rlp1 + s_main.rlp2 * r + s_main.bytes[0] * r^2 + s_main.bytes[1] * r^3 + ... + s_main.bytes[31] * r^33 +``` + +We check that this value is properly stored in `acc_s` column. + +``` +rlc_first_step = acc_s +``` + +The second step computes the RLC out of bytes `c_main.rlp1', 'c_main.rlp2`, `c_main`. + +``` +rlc = rlc_first_step + c_main.rlp1 * r_1 + c_main.rlp2 * r_1^2 + c_main[0] * r_1^3 + c_main[1] * r_1^4 + ... + c_main[31] * r_1^34 +``` + +Note that `r_1` needs to correspond to the length of the bytes in the storage leaf key row. +Let us say `len` is the number of bytes in `s_main.bytes` in the storage leaf key row: + +``` +len = s_main.rlp2 - 128 +``` + +It needs to be ensured that: + +``` +r_1 = r^(len+2) +``` + +This can be ensured using a lookup into a table: + +``` +(RMult, 0, 1) +(RMult, 1, r) +(RMult, 2, r^2) +(RMult, 3, r^3) +... +(RMult, 65, r^65) +``` + +The lookup looks like: + +``` +lookup(RMult, len+2, r_1) +``` + +See `mult_diff_lookup` in `helpers.rs` for the implementation. diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index a48fba621..fbe651a46 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -8,7 +8,24 @@ Let us assume there are two proofs (as returned by `eth getProof`): - A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. The circuit checks the transition from `val1` to `val2` at `key1` that led to the change -of trie root from `root1` to `root2` (the chaining of such proofs is yet to be added). +of trie root from `root1` to `root2`. + +Similarly, MPT circuit can prove that `nonce`, `balance`, or `codehash` has been changed at +a particular address. But also, the circuit can prove that at a particular address no account exists +(`NonExistingAccountProof`), that at particular storage key no value is stored `NonExistingStorageProof`, +or that at a particular address an account has been deleted. + +The circuit exposes a table which looks like: + +| Address | ProofType | Key | ValuePrev | Value | RootPrev | Root | +| ------- | ----------------------- | ---- | ------------- | ------------ | --------- | ----- | +| $addr | NonceMod | 0 | $noncePrev | $nonceCur | $rootPrev | $root | +| $addr | BalanceMod | 0 | $balancePrev | $balanceCur | $rootPrev | $root | +| $addr | CodeHashMod | 0 | $codeHashPrev | $codeHashCur | $rootPrev | $root | +| $addr | NonExistingAccountProof | 0 | 0 | 0 | $root | $root | +| $addr | AccountDeleteMod | 0 | 0 | 0 | $rootPrev | $root | +| $addr | StorageMod | $key | $valuePrev | $value | $rootPrev | $root | +| $addr | NonExistingStorageProof | $key | 0 | 0 | $root | $root | The proof returned by `eth getProof` looks like: @@ -42,15 +59,16 @@ The proof returned by `eth getProof` looks like: } ``` -In the above case account proof contains five elements. -The first four are branches / extension nodes, the last one is account leaf. +In the above case, the account proof contains five elements. +The first four are branches or extension nodes, the last one is an account leaf. The hash of the account leaf is checked to be in the fourth element (at the proper position - depends on the account address). -The hash of the fourth element is checked to be in the third element (at the proper position) ... +The hash of the fourth element is checked to be in the third element (at the proper position). +When we arrive to the top, the hash of the first element needs to be the same as trie root. The storage proof in the above case contains two elements. -The first one is branch or extension node, the second element is storage leaf. -The hash of storage leaf is checked to +The first one is branch or extension node, the second element is a storage leaf. +The hash of the storage leaf is checked to be in the first element at the proper position (depends on the key). The hash of the first storage proof element (storage root) needs to be checked @@ -58,8 +76,8 @@ to be in the account leaf of the last account proof element. ## Two parallel proofs -This section gives a bit of intuition why MPT circuit handles two parallel proofs at the -same time. Namely, there is `S` (as `State`) proof which presents the state of the trie +This section explains why MPT circuit handles two parallel proofs at the +same time. There is `S` (as `State`) proof which presents the state of the trie before the modification. And there is `C` (as `Change`) proof which presents the state of the trie after modification. @@ -68,17 +86,17 @@ There are `2 * (2 + 32)` columns which contain RLP streams returned by `getProof`. The other columns are selectors (for example which kind of row we are at). -The value `2 * (2 + 32)` is motivated by the fact that keccak output is of 32 width. +The value `2 * (2 + 32)` comes from the fact that keccak output is of 32 width. The additional 2 bytes are for RLP specific bytes which store information like how long is the substream. Finally, the multiplier 2 is because we always have two parallel proofs: -before and after modification. +before and after the modification. The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. There is `MainCols` for `S` proof (named `s_main`) and `MainCols` for `C` proof (named `c_main`). -Let us observe a branch. It contains 16 children which are distributed over 16 rows. +Branch contains 16 children which are distributed over 16 rows. We have branch `S` and branch `C`. Branch rows: @@ -89,9 +107,11 @@ Branch S child 15 | Branch C child 15 ``` The branch does not include raw children, it includes only a hash of each children (except -when a child is shorter than 32 bytes, in this case the raw child is included in a branch). +when a child is shorter than 32 bytes, in this case the raw child is part of a branch). -Branch rows (you can see there are `2 * (2 + 32)` columns): +To get some impression how the witness data is distributed over the columns let us observe +the branch layout. +Branch rows look like (you can see there are `2 * (2 + 32)` columns): ``` s_main | c_main rlp1 rlp2 bytes | rlp1 rlp2 bytes @@ -125,42 +145,63 @@ MPT circuit supports the following proofs: - Codehash proof - Account delete modification - Non existing account proof + - Non existing storage proof -There is a struct `ProofTypeCols` that is to be used to specify the type of a proof: +There is a struct `ProofTypeCols` that is used to specify the type of a proof: ``` struct ProofTypeCols { + proof_type: Column, is_storage_mod: Column, is_nonce_mod: Column, is_balance_mod: Column, is_codehash_mod: Column, is_account_delete_mod: Column, is_non_existing_account_proof: Column, + is_non_existing_storage_proof: Column, } ``` -The lookup for nonce modification would thus look like: +Except for the `proof_type`, the fields are boolean to simplify the writing of the constraints. +The MPT lookup uses only the `proof_type` field - one of the following values: ``` -| Address | is_storage_mod | is_nonce_mod | is_balance_mod | is_codehash_mod | is_account_delete_mod | is_non_existing_account_proof | Key | ValuePrev | Value | RootPrev | Root | -| - | - | - | - | - | - | - | -| $addr | 0 | 1 | 0 | 0 | 0 | 0 | 0 | $noncePrev | $nonceCur | $rootPrev | $root | +NonceMod = 1 +BalanceMod = 2 +CodeHashMod = 3 +NonExistingAccountProof = 4 +AccountDeleteMod = 5 +StorageMod = 6 +NonExistingStorageProof = 7 ``` -For `is_account_delete_mod` and `is_non_existing_account_proof` we use 0 for `ValuePrev` and `Value`. Note that there is no `is_account_create_proof` because we can create the account implicitly by `is_nonce_mod` or `is_balance_mod` (and in this case we do not need to check that the account previously did no exist, while for `is_account_delete_mod` the MPT circuit checks whether there really is not an account with the specified address anymore). - -The columns in the struct falls into selectors category (as opposed to `MainCols` columns). -`SelectorsChip` ensures there is exactly one type of proof selected. - ## Constraints for different types of nodes -All configs of the MPT circuit use the first gate to check the RLP encoding, -the computation of RLC, and the selectors being of proper values (for example being -boolean). - The constraints are grouped according to different trie node types: * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). * Storage leaf constraints documentation is in [storage-leaf.md](storage-leaf.md). * Branch constraints documentation is in [branch.md](branch.md). * Extension node constraints documentation is in [extension-node.md](extension-node.md). * Proof chain constraints documentation is in [proof_chain.md](proof_chain.md). - * Selector constraints documentation is in [selectors.md](selectors.md). \ No newline at end of file + * Selector constraints documentation is in [selectors.md](selectors.md). + +Some visual presentations of the MPT circuit aspects can be found [here](visual.md). +Explanation about helper methods that are used across different configs can be found +[here](helpers.md). + +## Proof chaining + +One proof proves one modification. When two or more modifications are to be +proved to be correct, a chaining between proofs is needed. +That means we need to ensure: + +``` +current S state trie root = previous C state trie root +``` + +For this reason `not_first_level` selector is used which is set to 0 for the +first rows of the proof. These are either the rows of the first +branch / extension node or the rows of the account leaf (if only one element +in the state trie). + +Having `not_first_level` selector we know when the switch happens to a new proof and the constraint +above can be ensured. \ No newline at end of file diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 0886d738c..6c1a134e1 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -336,10 +336,9 @@ We need to ensure that the stored leaf value RLC is the same as the computed one #### Leaf key C RLC properly copied & Leaf value S RLC properly copied To enable external lookups we need to have the following information in the same row: - - - key RLC: we copy it to `sel1` column from the leaf key C row - - previous (`S`) leaf value RLC: we copy it to `sel2` column from the leaf value `S` row - - current (`C`) leaf value RLC: stored in `acc_c` column + - key RLC: we copy it to `accs.key.mult` column from the leaf key C row + - previous (`S`) leaf value RLC: we copy it to `value_prev` column from the leaf value `S` row + - current (`C`) leaf value RLC: stored in `acc_c` column, we copy it to `value` column #### s_main are 0s when there is no storage leaf (just a placeholder) diff --git a/specs/mpt/mpt-proof-old.md b/specs/mpt/visual.md similarity index 65% rename from specs/mpt/mpt-proof-old.md rename to specs/mpt/visual.md index 42e925921..0e506e711 100644 --- a/specs/mpt/mpt-proof-old.md +++ b/specs/mpt/visual.md @@ -1,24 +1,70 @@ # Merkle Patricia Trie (MPT) Proof -We split the branch information into 16 rows (one row for each node). The proof looks like: +``` +{ + "id": 1, + "jsonrpc": "2.0", + "result": { + "accountProof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380", + "0xf90211a...5fb20c80", + "0xf90211a...0675b80", + "0xf90151a0...ca08080" + ], + "balance": "0x0", + "codeHash": "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", + "nonce": "0x0", + "storageHash": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "storageProof": [ + { + "key": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "proof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380" + ], + "value": "0x1" + } + ] + } +} +``` + +The circuit layout for the `eth getProof` response example above would look like:

-A key is hashed and converted into hexadecimal value - it becomes a hexadecimal string of -length 64. -Let's say we have a leaf: +Note that branch is split into 16 rows (one row for each branch child). + +To check the position of a child in the parent node, we need to observe the nibbles of: + + * the address for the account proof + * the storage key for the storage proof + +## Address / key nibbles + +The address or key is hashed and converted into hexadecimal value - it becomes a hexadecimal +string of length 64. +Let us say we have a leaf with the following key nibbles and value: ``` key_nibbles = [10,6,3,5,7,0,1,2,12,1,10,3,10,14,0,10,1,7,13,3,0,4,12,9,9,2,0,3,1,0,3,8,2,13,9,6,8,14,11,12,12,4,11,1,7,7,1,15,4,1,12,6,11,3,0,4,2,0,5,11,5,7,0,16] val = [2] ``` -Note that the last value (`16`) is a terminator byte. It means this presents a key of the leaf. -In case of an extension node key, there is no terminator byte. The terminator byte (if exists) +Note that the last value (`16`) is a terminator byte. It means the stream presents a key of the leaf. +In case of the extension node key, there is no terminator byte. The terminator byte (if exists) is not part of the proof (see below the format of a key in a proof). +Thus, `key_nibbles` contain `63` nibbles (when we exclude the last byte - `16`). +But these nibbles are not all the nibbles that correspond to the key / address - +the nibbles that are used to traverse through branches / extension nodes are not stored in the leaf. +There are always `64` nibbles, so only one nibble has been used to traverse through branches / extension +nodes in this case. That means that above this leaf there is only one branch. The first nibble +(not included in `key_nibbles`) is the position of the leaf in this branch. + In a proof, the key is put in the [compact form](https://github.com/ethereum/go-ethereum/blob/master/trie/encoding.go#L37) It becomes: @@ -43,7 +89,7 @@ It becomes: [226,160,58,99,87,1,44,26,58,224,161,125,48,76,153,32,49,3,130,217,104,235,204,75,23,113,244,28,107,48,66,5,181,112,2] ``` -Note that the RLP contains the key and the value (the last byte). In such a format, a storage +The leaf RLP contains the key and the value (the last byte). In such a format, a storage leaf appears in the MPT proof. The leaf RLP is hashed and it appears in the parent branch as: @@ -52,32 +98,28 @@ The leaf RLP is hashed and it appears in the parent branch as: [32,34,39,131,73,65,47,37,211,142,206,231,172,16,11,203,33,107,30,7,213,226,2,174,55,216,4,117,220,10,186,68] ``` -Key nibbles specify the positions in branches / extension nodes. -The first nibble specifies under which position of Branch 0 is the node -corresponding to `key1`. -The second nibble specifies under which position of Branch 1 is the node -corresponding to `key1`. The remaining nibbles are stored in a storage leaf -(in a compact form). - -In account proof, address is analogous to key in storage proof. +In the account proof, the address is analogous to the key in the storage proof.

In the above case, we have three branches / extension nodes in the account proof. -Let's say `addr` turns into nibbles `3 b a ...` That would mean the position (named `modified_node`) of the underlying proof element is: +Let us say `addr` turns into nibbles `3 b a ...` +That means to get to the accont leaf we need to traverse through branches like this: - 3 in Branch 0 - 11 in Branch 1 - 10 in Branch 2 For the storage part, we have two branches / extension nodes. -Let's say `key1` turns into nibbles `a 2 ...` That would mean the position (named `modified_node`) of the underlying storage leaf is: +Let us say `key1` turns into nibbles `a 2 ...` +That means to get to the storage leaf we need to traverse throught branches like this: - 10 in Branch 0 - 2 in Branch 1 +The nibble that says how to traverse is stored in the `modified_node` column in the branch layout. If we make a change at `key1` from `val1` to `val2` and obtain a proof after this change, the proof will be different from the first only at `modified_node` positions. @@ -85,46 +127,22 @@ To check the transition from `root1` to `root2` caused at `key1`, MPT circuit ch proofs are the same except at the nodes that correspond to `key1` path (hexadecimal characters presenting `modified_node`). -In proof 1, the root of account Branch 0 needs to be `root1`. -In proof 2, the root of account Branch 0 needs to be `root2`. +In `S` proof, the root of the account top branch / extension node needs to be `root1`. +In `C` proof, the root of the account top branch / extension node needs to be `root2`. Also, it needs to be checked that the nodes differ only at indexes that -correspond to `key1` path. +correspond to the `key1` path. To implement the constraints above, the two proofs are put in parallel in MPT rows. -Each branch row contains information of branch node from proof 1 and as well as from proof 2: +Each branch row contains information for branch node from `S` proof and as well as from `C` proof:

-Proof 1 is on the left side, proof 2 is on the right side. +`S` proof is on the left side, `C` proof is on the right side. ## Branch / extension node layout -The two parallel proofs are called S proof and C proof in the MPT circuit layout. - -The first 34 columns are for the S proof. -The next 34 columns are for the C proof. -The remaining columns are selectors, for example, for specifying whether the -row is a branch node or a leaf node. - -34 columns presents 2 + 32. -The first 2 columns are RLP specific as we will see below. -32 columns are used because this is the length of hash output. -Note that, for example, each branch node is given in a hash format - -it occupies 32 positions. - -In the codebase, the columns are named: - -- `s_rlp1` -- `s_rlp2` -- `s_advices` (32 columns) -- `c_rlp1` -- `c_rlp2` -- `c_advices` (32 columns) - -### Branch - Branch comprises 19 rows: - 1 init row with some RLP specific data and some selectors @@ -147,9 +165,9 @@ Boolean selectors `is_branch_init`, `is_branch_child`, `is_last_branch_child`, `is_modified` are used to trigger the constraints only when necessary. Two examples: -- Checking that hash of a branch RLP is in the parent element +- Checking that the hash of a branch RLP is in the parent element (branch / extension node) is done in the last branch row (`is_last_branch_child`) -- S and C children are checked to be the same in all rows except at `is_modified`. +- `S` and `C` branch children are checked to be the same in all rows except at `is_modified`. There are two other columns that ensure that branch rows follow the prescribed layout: `node_index` and `modified_node`. @@ -185,7 +203,7 @@ The picture presents a branch which has 14 empty nodes and 2 non-empty nodes. The last two rows are all zeros because this is a regular branch, not an extension node. -Each branch node row starts with 34 S proof columns and 34 C proof columns. +Each branch node row starts with 34 `S` proof columns and 34 `C` proof columns. For non-empty rows, `rlp1` is always 160: ``` @@ -193,7 +211,7 @@ For non-empty rows, `rlp1` is always 160: ``` This is because 160 denotes (in RLP encoding) the length of the -substream which is 32 (= 160 - 128). The substream in this case is hash +substream which is 32 (`= 160 - 128`). The substream in this case is hash of a branch child. When there is an empty node, the column looks like: @@ -202,10 +220,10 @@ When there is an empty node, the column looks like: 0, 0, 128, 0, ..., 0 ``` -Empty node in a RLP stream is denoted only by one byte - by value 128. -However, MPT circuit uses padding with 0s - empty node occupies the whole row too. +An empty node in a RLP stream is denoted only by one byte - by value 128. +However, MPT circuit uses padding with 0s - an empty node occupies the whole row too. This is too simplify the comparisons -between S and C branch. This way, the branch nodes are aligned horizontally +between `S` and `C` branch. This way, the branch nodes are aligned horizontally for both proofs. Non-empty nodes in the above picture are at positions 3 and 11. @@ -213,20 +231,21 @@ Position 11 corresponds to the key (that means the key nibble that determines the position of a node in this branch is 11) and is stored in `modified_node` column. -`s_advices/c_advices` present the hash of a branch child. +`s_advices/c_advices` (renamed into `s_main.bytes/c_main.bytes` in the implementation) +present the hash of a branch child (or the branch child itself it is shorter than 32 bytes). -One can observe that in position 3: `s_advices = c_advices`, -while in position 11: `s_advices != c_advices`. +One can observe that at position 3: `s_advices = c_advices`, +while at position 11: `s_advices != c_advices`. That is because the nibble 11 corresponds to `key1` where the storage modification occured. The branch at position 3 is not affected by this storage modification. We need `s_advices/c_advices` for two things: -- To compute the overall branch RLC (to be able to check the hash of a branch RLP to be in a parent) - in this case, `s_advices/c_advices` is a substream of RLP stream, we need to compare hash of the whole RLP stream to be in a parent +- To compute the overall branch RLC (to be able to check the hash of a branch RLP to be in a parent) - in this case, `s_advices/c_advices` is a substream of RLP stream, we need to compare the hash of the whole RLP stream to be in a parent. - To check whether `s_advices/c_advices` (at `is_modified` position) present the hash of the next element in a proof - in this case, `s_advices/c_advices` - presents hash that is to be compared to be the hash of the underlying element. + presents the hash that is to be compared to be the hash of the underlying element. Checking branch hash in a parent: @@ -246,12 +265,8 @@ The constraint for an element to be in a parent is implemented using lookups, fo lookup(branch RLC, branch length, hash RLC at is_modified in parent) ``` -TODO: instead of 32 columns for `*_advices`, we could use only the RLC of `*_advices`. -To integrate `*_advices` RLC into the computation of the whole branch RLC, we -would just need to compute `mult * *_advices_RLC` and add this to the current RLC value. - -To simplify the lookups, the hash of the modified node in branch S is stored in -`s_mod_node_hash_rlc` column. Similarly, for branch C it is stored in `c_mod_node_hash_rlc`. +To simplify the lookups, the hash of the modified node in branch `S` is stored in +`s_mod_node_hash_rlc` column. Similarly, for branch `C` it is stored in `c_mod_node_hash_rlc`. It is checked that this value is the same in all 16 branch children rows.

@@ -263,19 +278,20 @@ to the hash at `modified_node` position: otherwise it would be difficult to dete the rotation to the row where hash rlc is stored because `modified_node` is not fixed. -The lookup constraints for branch are implemented in `branch_hash_in_parent`. The lookup constraints for extension node are implemented in `extension_node.rs`. +The lookup constraints for a branch are implemented in `branch_hash_in_parent`. The lookup constraints for an extension node are implemented in `extension_node.rs`. -### Computing branch RLC +### Computation of the branch RLC -The intermediate branch RLC is computed in each row, the final one is given in +The intermediate branch RLC is computed in each branch row, the final one is given in `is_last_branch_child` row. -Branch init row contains the RLC bytes only in (some) of the first 10 columns. -The columns after this stores branch / extension node selectors. +Branch init row contains the RLC bytes only in the first 10 columns. +The columns after this store branch / extension node selectors. -The RLP of a branch can appear in two slightly different versions: +The RLP of a branch can appear in three slightly different versions: -- At the beginning there are two RLP meta bytes +- At the beginning there is only one RLP meta byte. +- At the beginning there are two RLP meta bytes. - At the beginning there are three RLP meta bytes. A branch with two RLP meta bytes looks like: @@ -296,22 +312,23 @@ A branch with three RLP meta bytes looks like: This means there are 1 * 256 + 81 bytes from position three onward. The intermediate RLC in this case should be `249 + 1r + 81r^2`. -Columns 0 and 1 in branch init row specify whether S branch has two or three RLP meta bytes: +Columns 0 and 1 in branch init row specify whether `S` branch has one, two or three RLP meta bytes: -- `1, 0` means two RLP meta bytes +- `1, 1` means one RLP meta byte. +- `1, 0` means two RLP meta bytes. - `0, 1` means three RLP meta bytes. Similarly, columns 2 and 3 specify -whether C branch has two or three RLP meta bytes. +whether `C` branch has two or three RLP meta bytes. Further branch init RLP bytes: -- Columns 4 and 5: the actual branch S RLP meta data bytes -- Column 6: the actual branch S RLP meta data byte (if there are 3 RLP meta data bytes in branch S) -- Columns 7 and 8: branch C RLP meta data bytes -- Column 9: the actual branch C RLP meta data byte (if there are 3 RLP meta data bytes in branch C) +- Columns 4 and 5: the actual branch `S` RLP meta data bytes +- Column 6: the actual branch `S` RLP meta data byte (if there are 3 RLP meta data bytes in branch `S`) +- Columns 7 and 8: branch `C` RLP meta data bytes +- Column 9: the actual branch `C` RLP meta data byte (if there are 3 RLP meta data bytes in branch `C`) -The intermediate RLC values are stored in `acc_s` and `acc_c` columns for S and C branch +The intermediate RLC values are stored in `acc_s` and `acc_c` columns for `S` and `C` branch respectively. The constraints for RLC in branch init row are implemented in `branch_rlc_init.rs`. @@ -322,7 +339,7 @@ The constraints for RLC in branch init row are implemented in `branch_rlc_init.r To check the intermediate RLC for `is_branch_child` rows, two additional columns are needed: `acc_mult_s` and `acc_mult_c`. -These two columns are used to know with what multiplier should be used in the next row: +These two columns are used to know what multiplier should be used in the next row: ``` acc_s = acc_s_prev + s_rlp2 * acc_mult_s_prev + s_advices[0] * acc_mult_s_prev * r + s_advices[1] * acc_mult_s_prev * r^2 @@ -336,7 +353,7 @@ Constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c` are implemented in `branch_rlc.rs`. There are two types of branch child: empty and non-empty. -Both has a fixed number of bytes (33 and 1) which simplifies +Both have a fixed number of bytes (33 and 1) which simplifies the constraints for `acc_s, acc_c, acc_mult_s, acc_mult_c`. For example, the constraint for `acc_mult_s` for non-empty child would be: @@ -354,26 +371,26 @@ the intermediate RLC values in the last branch children row. ### Branch length corresponds to the RLP meta bytes -As discussed above, branch RLP can have two or three RLP meta bytes that specify +As discussed above, the branch RLP can have one, two or three RLP meta bytes that specify its length. To check whether the actual length of the stream corresponds to the length specified with the RLP meta bytes, column 0 is used (`s_rlp1, c_rlp1`). In each row we subtract the number of bytes in a row: 33 for non-empty row, 1 for empty row. -In the last row we checked whether the value is 1. +In the last row we check whether the value is 1. The final value should be 1 (and not 0) because -RLP length includes also ValueNode which occupies 1 byte and is not stored in MPT layout. +the RLP length includes also ValueNode which occupies 1 byte and is not stored in the MPT layout.

-Constraints for RLP length are implemented in `branch.rs`. +Constraints for the RLP length are implemented in `branch.rs`. ### Address and key RLC in branch nodes -To check that storage modification occurs at the proper address / key, +To check that the storage modification occurs at the proper address / key, the circuit computes intermediate address RLC / key RLC at each branch / extension node. The final address RLC is computed in `is_account_leaf` row, the final key RLC is computed in `is_leaf_key` row. @@ -410,8 +427,8 @@ Constraints for `s_advices[IS_BRANCH_C16_POS - LAYOUT_OFFSET]` and `s_advices[IS_BRANCH_C1_POS - LAYOUT_OFFSET]` are implemented in `branch_key.rs`. -For example, the two values need to be boolean, need to alternate (this alternating -gets more complicated when there is an extension node instead of a branch as it will be +For example, the two values need to be boolean, need to alternate (actually, the alternating +gets more complicated when there is an extension node instead of a branch as it is discussed below), and the sum of the two needs to be 1. ### Extension node rows @@ -484,7 +501,7 @@ The value (branch hash) is stored in: 114 253 150 ... ``` -The second byte (130) means there are two (130 - 128) bytes compressing the nibbles. +The second byte (130) means there are 2 (`= 130 - 128`) bytes that contain the nibbles. These two bytes are `0, 149` and they represent the two nibbles: 9 and 5 (149 = 9 * 16 + 5). @@ -497,11 +514,11 @@ while `c_advices` are used for branch hash, and `c_rlp2` stores 160 (denoting th

-There are two extension node rows - one for S proof, one for C proof. -However, the extension key (nibbles) is the same for S and C, we do not need +There are two extension node rows - one for `S` proof, one for `C` proof. +However, the extension key (nibbles) is the same for `S` and `C`, we do not need to duplicate this information. -For this reason, in C row, we do not put key into `s_rlp1`, `s_rlp2`, and `s_advices`, -we just put hash of C underlying branch in `c_advices`. +For this reason, in `C` row, we do not put key into `s_rlp1`, `s_rlp2`, and `s_advices`, +we just put hash of `C` underlying branch in `c_advices`. But we do not leave `s_rlp1, s_rlp2, s_advices` empty in C row, we store additional witness for nibbles there because nibbles are @@ -529,15 +546,15 @@ The second row contains: - `s_advices`: the second nibble of each byte stored in the first row - `c_advices`: hash of C branch -In extension node, the intermediate `key_rlc` is computed by taking `key_rlc` and `key_rlc_mult` +In the extension node, the intermediate `key_rlc` is computed by taking `key_rlc` and `key_rlc_mult` (denoted by `key_rlc_prev` and `key_rlc_mult`) from the parent element and adding the extension node bytes. However, the calculation depends on: -- How many nibbles have already been used in the branches / extension nodes above +- How many nibbles have already been used in the branches / extension nodes above. - Whether there are even or odd nibbles in the extension. -These different cases are the reason for a rather heavy branching in the `extension_node_key`. +These different cases are the reason for a rather heavy branching in `extension_node_key.rs`. #### Even nibbles above, even nibbles in extension @@ -564,7 +581,7 @@ This is the case when the second nibbles witnesses are needed. For example: [0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,57,70,87,80,220,197,201,254,196,232,29,240,104,158,250,223,175,172,44,123,126,255,126,108,15,160,185,239,174,205,146,130] ``` -In the second row, 5 presents the second nibble of 149 (149 = 9 * 16 + 5). +In the second row, 5 presents the second nibble of 149 (`= 9 * 16 + 5`). Having the second nibble simplifies the computation of the first nibble (including both, first and second nibbles, as witnesses is not possible as there is not enough space in `s_advices` for cases where extension would be more than 32 nibbles). @@ -663,7 +680,7 @@ part of extension node selectors. It needs to be ensured that the selectors are boolean. Further, the sum of `ext` selectors needs to be `0` or `1`. -If it is `0`, there is a regular branch. If it is `1`, there is an extension node. +If it is `0`, it is a regular branch. If it is `1`, it is an extension node. See `extension_node.rs` for the constraints. Further, there are constraints that ensure the selector @@ -672,11 +689,12 @@ Also, when there is an even number of nibbles, `s_advices[0]` has to be `0`. ## Account leaf -There are seven rows for an account leaf: +There are 8 rows for an account leaf: ``` Key S Key C +Account non existing Nonce balance S Nonce balance C Storage codehash S @@ -688,7 +706,7 @@ Leaf in added branch

-Only one modification is allowed at a time, thus S proof and C proof differ in one +Only one modification is allowed at a time, thus `S` proof and `C` proof differ in one of the following: - Nonce @@ -697,8 +715,8 @@ of the following: - Codehash When `nonce`, `balance`, or `codehash` is modified, there is no storage proof and -no rows below account leaf. When `storage` is modified, it is ensured that there -is a storage proof (via `address_rlc` being changed only in one of storage +no rows below the account leaf. When `storage` is modified, it is ensured that there +is a storage proof after an account proof (via `address_rlc` being changed only in one of storage leaf rows; `address_rlc` is needed for lookup of the storage change). ## Storage leaf @@ -713,7 +731,7 @@ Leaf value C Leaf in added branch ``` -Note that leaf key S and leaf key C are not always the same - for example +Note that leaf key `S` and leaf key `C` are not always the same - for example when a value is added to the key which was empty, the leaf key C will be shorter. @@ -742,11 +760,11 @@ Storage leaf can appear in two RLP formats: [226,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,1] ``` -In the above example `226 160` are RLP meta data bytes. 226 means the length of leaf RLP (behind this byte) is 34 (226 - 192). 160 means there are 32 (160 - 128) bytes in the +In the above example `226 160` are RLP meta data bytes. 226 means the length of leaf RLP (behind this byte) is 34 (`= 226 - 192`). 160 means there are 32 (`= 160 - 128`) bytes in the following substream that represents the `key` (compressed nibbles). Finally, there is a last byte that represents the leaf value: 1. -Leaf RLP: `226 (representing leaf length: 34) 160 (representing key length: 32) 59 ... 68 (32 bytes representing key) 1 (representing value)`. +Leaf RLP: `226 (representing the leaf length: 34) 160 (representing the key length: 32) 59 ... 68 (32 bytes representing the key) 1 (representing the value)`. - Long: if leaf RLP length is more than 55, it has only two RLP meta bytes, like: @@ -760,7 +778,7 @@ specifying the length of RLP. This byte is 67 - there are 67 bytes after this by `161 160` represents RLP meta bytes for leaf `value`. 161 represents length 31 (161 - 128), 160 represents length 32 (160 - 128) which is the length of the actual value: `187 239 ... 170`. -Leaf RLP: `248 67 (representing leaf length) 160 (representing key length: 32) 59 ... 68 (32 bytes representing length) 161 160 (representing value length: 32) 187 ... 170 (representing value)`. +Leaf RLP: `248 67 (representing the leaf length) 160 (representing the key length: 32) 59 ... 68 (32 bytes representing the length) 161 160 (representing the value length: 32) 187 ... 170 (representing the value)`. ### Key RLC in storage leaf @@ -768,9 +786,9 @@ Leaf RLP: `248 67 (representing leaf length) 160 (representing key length: 32) 5

-The first row contains the storage leaf S key bytes. These bytes are what remains from the -key after key nibbles are used to navigate through branches / extension nodes. -That means: key RLC that is being partially computed in branches / extension nodes can +The first row contains the storage leaf `S` key bytes. These bytes are what remains from the +key after the key nibbles are used to traverse through branches / extension nodes. +That means: the key RLC that is being partially computed in branches / extension nodes can be finalized here. Let us say there are two branches above the leaf as in the picture above. @@ -778,7 +796,7 @@ The intermediate key RLC is thus: `n0 * 16 + n1` where `n1` is the position of the leaf in the second branch and `n0` is the position of the second branch in the first branch. -The remaining key nibbles (`n2 ... n63`) are stored in `leaf key` row. +The remaining key nibbles (`n2 ... n63`) are stored in the leaf key row. The final `key_rlc` to be computed is: ``` @@ -790,12 +808,12 @@ This computation depends on two things: - Whether it is short or long RLP (see above). - Whether the remaining number of nibbles is even or odd. -Key nibbles are stored from position 2 (short RLP) or 3 (long RLP) onward. +The key nibbles are stored from position 2 (short RLP) or 3 (long RLP) onward. -Let observe how the even or odd number of the remaining key nibbles affects the computation +Let us observe how the even or odd number of the remaining key nibbles affects the computation using two examples. The two selectors to determine whether it is the even or odd case is retrieved -from the branch init row (IS_BRANCH_C16_POS, IS_BRANCH_C1_POS). The constraints for -these selectors are implemented in `branch_key`. +from the branch init row (`IS_BRANCH_C16_POS`, `IS_BRANCH_C1_POS`). The constraints for +these selectors are implemented in `branch_key.rs`. #### Example with even number of remaining nibbles @@ -830,14 +848,15 @@ key_rlc = key_rlc_prev + 7 * key_rlc_mult_prev + (16 * 3 + 2) * key_rlc_mult_pre ### Leaf RLC -Leaf RLC is computed in both, `leaf key` row and `leaf value` row. +The leaf RLC is computed in both, leaf key row and leaf value row. It goes over all leaf RLP bytes (`b0 b1 ... bl`) and computes: ``` b0 + b1 * r + ... + bl * r^l ``` -The intermediate RLC is computed in `leaf key` row, this value (`leaf_rlc_prev`) is then retrieved in `leaf value` row and used for the final computation. +The intermediate RLC is computed in the leaf key row, this value (`leaf_rlc_prev`) is then retrieved +in the leaf value row and used for the final computation. Leaf hash is checked to be in the parent branch / extension node at the `modified_node` position. @@ -851,7 +870,7 @@ Let us observe the case where storing a value turns a leaf into a branch or exte Let us say we have `Leaf 1` and we set value `val` at key `key` which will result in `Leaf 2`. -In this case S proof will be shorter than C proof. +In this case `S` proof will be shorter than `C` proof. The layout would look like: ``` @@ -871,14 +890,15 @@ in this row correspond to `Leaf 1`.

-In order not to break the layout, a placeholder branch is added in the S -proof. This way, the leaf S and leaf C are positioned one after another as in other cases -(where the number of branches above the leaf S and leaf C is the same). +In order not to break the layout, a placeholder branch is added in the `S` +proof. This way, the leaf `S` and leaf `C` are positioned one after another as in other cases +(where the number of branches above the leaf `S` and leaf `C` is the same). To make it simpler, for the placeholder branch its paralell counterpart is used (when -S branch is a placeholder, C branch values are used as a placeholder; when C branch is a placeholder, S branch values are used as a placeholder). +`S` branch is a placeholder, `C` branch values are used as a placeholder; +when `C` branch is a placeholder, `S` branch values are used as a placeholder). -This way, the equalities between S and C branch still holds (constraints are +This way, the equalities between `S` and `C` branch still holds (constraints are still fullfilled). On the other hand, the constraint for branch hash to be in a parent element is switched off. Instead, the hash of a leaf is checked to be in an element that is above the placeholder @@ -911,7 +931,7 @@ In case when there are two leaves in a branch and one of them is deleted, the sc #### Case 2: Key not used yet Let us say no value is set at key `key`. -After setting the value at `key`, S proof would not have a leaf, while C proof would have it: +After setting the value at `key`, the `S` proof would not have a leaf, while the `C` proof would have it: ``` Branch 1 | Branch 1 @@ -936,7 +956,7 @@ The information whether the leaf is a placeholder is stored in `sel1` and `sel2` in branch rows (in all rows to simplify the constraints, similarly as `modified_node`, see above). -Note that when the key is deleted, the scenario is reversed: C proof constains the placeholder +Note that when the key is deleted, the scenario is reversed: the `C` proof constains the placeholder leaf. #### Case 3: Key in first level - leaf turns into branch / extension node @@ -944,9 +964,9 @@ leaf. In case there is only one leaf in storage trie, there will be no branch. When the second leaf is added, the branch or extension node appears. Similarly as in the first case, a placeholder branch / extension node -is added. The difference is that the hash of the leaf in the S proof is +is added. The difference is that the hash of the leaf in the `S` proof is checked to be the S storage trie root stored in the account leaf rows. -The hash of the added branch / extension node is checked to be the C +The hash of the added branch / extension node is checked to be the `C` storage trie root. All other constraits are the same as in the first case.

@@ -961,248 +981,12 @@ of a (placeholder) leaf is the storage trie root stored in the account leaf rows, it is checked that the storage trie root is hash of an empty trie. Thus, placeholder leaf is used just to not break the circuit layout. -In the C proof, the hash of a leaf (the first leaf that is added to the trie) +In the `C` proof, the hash of a leaf (the first leaf that is added to the trie) is checked to be the storage trie root. When the only leaf in the storage trie -is deleted, the scenario is reversed: the placeholder is in the C proof. +is deleted, the scenario is reversed: the placeholder is in the `C` proof.

-## Proof chaining - -One S/C proof proves one modification. When two or more modifications are to be -proved to be correct, a chaining between proofs is needed. -That means we need to ensure: - -``` -current S state trie root = previous C state trie root -``` - -For this reason `not_first_level` selector is used which is set to 0 for the -first rows of the account proof. These are either the rows of the first -branch / extension node or the rows of the account leaf (if only one element -in the state trie). - -The constraints make sure: - -- `current S state trie root = previous C state trie root` in the first row of the first level -- `address_rlc` is set to 0 in the first row of the first level (in the account leaf it is set to the correct value, elsewhere it is not allowed to change) -- `counter` does not change except in the first row of the first level - -## Lookups into MPT - -Lookups for `nonce`, `balance`, and `codehash` modifications are enabled in account -leaf rows. -Account leaf rows are the following: - -``` -Key S -Nonce balance S -Nonce balance C -Storage codehash S -Storage codehash C -``` - -Lookup for `nonce` and `balance` modifications are enabled in the third -account leaf row (`Nonce balance C`). -To enable lookups, this row contains `nonce` and `balance` S (previous) and C (current) values -(their RLCs). - -`nonce` lookup should check for the following fields: - -``` -counter, address_rlc, nonce_s_rlc, nonce_c_rlc, is_nonce_mod -``` - -`balance` is to be ignored in `nonce` lookup, but it is ensured that it does not change -when `is_nonce_mod` (meaning `balance_s_rlc = balance_c_rlc`). - -Similarly, -`balance` lookup should check for the following fields: - -``` -counter, address_rlc, balance_s_rlc, balance_c_rlc, is_balance_mod -``` - -Lookup for `codehash` modifications is enabled in the fifth -account leaf row (`Storage codehash C`). -To enable lookups, this row contains `codehash` S (previous) and C (current) values -(their RLCs). - -`codehash` lookup should check for the following fields: - -``` -counter, address_rlc, codehash_s_rlc, codehash_c_rlc, is_codehash_mod -``` - -Differently, storage modification lookup is enabled in the storage leaf value C row. -Storage leaf rows are the following: - -``` -Leaf key S -Leaf value S -Leaf key C -Leaf value C -Leaf in added branch -``` - -To enable lookups, `Leaf value C` row contains leaf value S (previous) and leaf value C -(current) RLCs, as well as leaf key C RLC. - -`storage` lookup should check for the following fields: - -``` -counter, address_rlc, key_rlc, value_s_rlc, value_c_rlc, is_storage_mod -``` - -Selectors `is_nonce_mod`, `is_balance_mod`, `is_codehash_mod`, `is_storage_mod` are ensured -to be booleans and their sum is ensured to be 1. It is ensured that only one modification -takes place at once. - -`address_rlc` used in `storage` lookup is ensured to be the same as computed in the -`account leaf key` row. This is done by checking that the value in `address_rlc` column -does not change when passing down from `account leaf key` row to `leaf value C` row. - -Note that that the attacker could try to omit the account proof and providing just -a storage proof with the appropriate `address_rlc` value. This would enable `storage` -lookups where the attacker would avoid triggering all account proof related constraints. -However, this is prevented by ensuring each storage proof has a corresponding account -proof (by checking `address_rlc` starts with 0 value in the first level of the proof -and can be changed only in `account leaf key` row). - -### Account create lookup - -Because MPT circuit allows only one change at a time, there are three lookups (`nonce`, `balance`, -`codehash`) using the same `counter` needed for the account creation. - -``` -lookup(counter, address_rlc, nonce_prev, nonce_cur, is_nonce_mod) -lookup(counter, address_rlc, balance_prev, balance_cur, is_balance_mod) -lookup(counter, address_rlc, codehash_prev, codehash_cur, is_codehash_mod) -``` - -Default values are to be used for `nonce_prev, nonce_cur`, `balance_prev`, `balance_cur`, `codehash_prev`, `codehash_cur`. Note that `prev` values are not important, we do not need to prove the correct modification of the trie here, we just need a proof for an account with default values to exist in the trie. Thus, there are no constraints for `prev` values to be default values. - -Also, there are no constraints for `cur` values to be default values, because the -correct values are implied by lookups - the lookups (default values passed by arguments) -will fail if there are no correct values in the circuit. - -## Helper techniques - -### Zeros in s_advices after substream ends - -In various cases, `s_advices` are used only to certain point. Consider the example below: - -``` -228, 130, 0, 149, 0, ..., 0 -``` - -In this example: - -``` -s_rlp1 = 228 -s_rlp2 = 130 -s_advices[0] = 0 -s_advices[1] = 149 -s_advices[2] = 0 -... -s_advices[31] = 0 -``` - -To prevent attacks on RLC, it needs to be checked that `s_advices[i] = 0` for `i > 1`: - -``` -s_advices[2] = 0 -... -s_advices[31] = 0 -``` - -The length of the substream is given by `s_rlp2`, it is `2 = 130 - 128` in the above example, -let us denote it by `len = 2`. - -`s_advices[i]` are checked to be bytes. - -Note that `(len - 1 - i) * s_advices[0] < 33 * 255` ensures `s_advices[i] = 0` for `i > len - 1`. - -``` -(len - 1) * s_advices[0] < 33 * 255 -(len - 2) * s_advices[1] < 33 * 255 -From now on, key_len < 0: -(len - 3) * s_advices[2] < 33 * 255 (Note that this will be true only if s_advices[2] = 0) -(len - 4) * s_advices[3] < 33 * 255 (Note that this will be true only if s_advices[3] = 0) -(len - 5) * s_advices[4] < 33 * 255 (Note that this will be true only if s_advices[4] = 0) -``` - -That is because when `len - i` goes below 0, it becomes a huge number close to field modulus. -Furthermore, `len` is at most 33. -If `len - i` is multiplied by `s_advices[i]` which is at most `255`, it will still be -bigger then `-32 * 255` which is much bigger than `33 * 255`. - -See `key_len_lookup` in `helpers.rs` for the implementation. - -### RLC multiplication factor after s_advices - -As we have seen above, -in various cases, `s_advices` are used only to certain point. Consider the example below: - -``` -228, 130, 0, 149, 0, ..., 0 -``` - -RLC is computed in two steps in such cases. -The first step computes bytes in `s_rlp1', 's_rlp2`, `s_advices` (stored in `acc_s` column), -the second step computes bytes in `c_rlp1', 'c_rlp2`, `c_advices` (stored in `acc_c` column). - -First step: - -``` -rlc_first_step = s_rlp1 + s_rlp2 * r + s_advices[0] * r^2 + s_advices[1] * r^3 + ... + s_advices[31] * r^33 -``` - -Constraint - -``` -rlc_first_step = acc_s -``` - -Note that the RLC is computed and assigned in the `sythesize` function, the chips then -verify whether that the computation is correct. - -In the next step: - -``` -rlc = rlc_first + c_rlp1 * r_1 + c_rlp2 * r_1^2 + c_advices[0] * r_1^3 + c_advices[1] * r_1^4 + ... + c_advices[31] * r_1^34 -``` - -Constraint: - -``` -rlc = acc_c -``` - -It also needs to be checked that `r_1` corresponds to `len`: - -``` -r_1 = r^(len+2) -``` - -This is checked using a lookup into a table: - -``` -(RMult, 0, 1) -(RMult, 1, r) -(RMult, 2, r^2) -(RMult, 3, r^3) -... -(RMult, 65, r^65) -``` - -The lookup looks like: - -``` -lookup(RMult, len+2, r_1) -``` - -See `mult_diff_lookup` in `helpers.rs` for the implementation. From c4239ba1e97aa110f19782967465f2a73daeb1e7 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 27 Oct 2022 16:15:23 +0200 Subject: [PATCH 59/92] MPT non-existing-storage docs --- specs/mpt/account-leaf.md | 3 +- specs/mpt/selectors.md | 4 ++ specs/mpt/storage_leaf.md | 132 +++++++++++++++++++++++++++++++++++++- 3 files changed, 135 insertions(+), 4 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 5359342d2..b45dad6bc 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -930,8 +930,7 @@ The whole account leaf looks like: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] Lookups: -We have nonce and balance in the same row - to enable lookups into the same columns (`value_prev`, `value`), -we enable nonce lookup in `ACCOUNT_NON_EXISTING` row and balance lookup in `ACCOUNT_LEAF_NONCE_BALANCE_C` row. +The `non_existing_account_proof` lookup is enabled in `ACCOUNT_NON_EXISTING` row. ``` For the example of non-existing account proof account leaf see below: diff --git a/specs/mpt/selectors.md b/specs/mpt/selectors.md index 9d891b280..8f9f59204 100644 --- a/specs/mpt/selectors.md +++ b/specs/mpt/selectors.md @@ -110,6 +110,10 @@ Storage leaf value C row can appear only after storage leaf key C row. Storage leaf in added branch row can appear only after storage leaf value C row. +#### Storage leaf in added branch -> storage leaf non existing row", + +Storage non existing row can appear only after storage leaf in added branch. + #### In the first row only certain row types can occur In the first row only account leaf key S row or branch init row can occur. diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 6c1a134e1..1376cba52 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -1,6 +1,6 @@ # Storage leaf -A storage leaf occupies 5 rows. +A storage leaf occupies 6 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. The rows are the following: ``` @@ -9,6 +9,7 @@ LEAF_VALUE_S LEAF_KEY_C LEAF_VALUE_C LEAF_DRIFTED +LEAF_NON_EXISTING ``` An example of leaf rows: @@ -18,6 +19,7 @@ An example of leaf rows: [226 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] ``` In the above example the value has been changed from 1 (`LEAF_VALUE_S`) to 17 (`LEAF_VALUE_C`). @@ -42,6 +44,7 @@ the leaf has only one nibble. [248 67 160 59 138 106 70 105 186 37 13 38 205 122 69 158 202 157 33 95 131 7 227 58 235 229 3 121 188 90 54 23 236 52 68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [161 160 187 239 170 18 88 1 56 188 38 60 149 117 120 38 223 78 36 235 129 201 170 170 170 170 170 170 170 170 170 170 170 170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] ``` `last_level` @@ -51,6 +54,7 @@ the leaf has only one nibble. [194 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] ``` `one_nibble`: @@ -60,6 +64,7 @@ the leaf has only one nibble. [194 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] ``` `s_mod_node_rlc` (`flag1`) and `c_mod_node_rlc` (`flag2`) columns store the information of what @@ -492,7 +497,7 @@ There are 0s in `s_main.bytes` after the last value byte. ## Leaf key in added branch constraints -A storage leaf occupies 5 rows. +A storage leaf occupies 6 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. The rows are the following: ``` @@ -501,6 +506,7 @@ LEAF_VALUE_S LEAF_KEY_C LEAF_VALUE_C LEAF_DRIFTED +LEAF_NON_EXISTING ``` An example of leaf rows: @@ -510,6 +516,7 @@ An example of leaf rows: [225 159 63 117 31 216 242 20 172 137 89 10 84 218 35 38 178 182 67 5 68 54 127 178 216 248 46 67 173 108 157 55 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] [225 159 59 117 17 208 2 186 74 12 134 238 103 127 37 240 27 164 245 42 218 188 162 9 151 17 57 90 177 190 250 180 61 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] ``` The `LEAF_DRIFTED` row is nonempty when a leaf is added (or deleted) to the position in trie where there is already @@ -582,6 +589,7 @@ Leaf value S Leaf key C Leaf value C Drifted leaf (leaf in added branch) +Leaf non existing ``` Add case (S branch is placeholder): @@ -751,3 +759,123 @@ Then we execute the lookup into a keccak table: `lookup(leaf_rlc, branch_child_a ### Range lookups Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). + +## Storage leaf non-existing-storage constraints + +A storage leaf occupies 6 rows. +Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. +The rows are the following: +``` +LEAF_KEY_S +LEAF_VALUE_S +LEAF_KEY_C +LEAF_VALUE_C +LEAF_DRIFTED +LEAF_NON_EXISTING +``` + +An example of leaf rows: +``` +[226 160 49 236 194 26 116 94 57 104 160 78 149 112 228 66 91 193 143 168 1 156 104 2 129 150 181 70 209 102 156 32 12 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13] +[226 160 49 236 194 26 116 94 57 104 160 78 149 112 228 66 91 193 143 168 1 156 104 2 129 150 181 70 209 102 156 32 12 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] +[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14] +[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15] +[1 160 58 99 87 1 44 26 58 224 161 125 48 76 153 32 49 3 130 217 104 235 204 75 23 113 244 28 107 48 66 5 181 112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19] +``` + +In the above example, there is a wrong leaf case (see `s_rlp1` being 1 in the last row). +The constrainst here are analogue to the ones in `account_non_existing.rs`, but here it is for the +non existing storage instead of non existing account. However, more cases need to be handled for storage +because there can appear 1 (named `short`) or 2 RLP bytes (named `long`), +while for account there are always 2. Also, the selectors need +to be obtained differently - for example, when we are checking the leaf in the first (storage) level, +we are checking whether we are behind the account leaf (for account proof we are checking whether we +are in the first level). + +Lookups: +The `non_existing_storage_proof` lookup is enabled in `LEAF_NON_EXISTING` row. + +### Non existing storage proof leaf key RLC (leaf not in first level, branch not placeholder) + +#### Storage leaf key acc s_advice0 (short) + +If there is an even number of nibbles stored in a leaf, `s_bytes0` needs to be 32. + +#### Storage key RLC (short) + +Differently as for the other proofs, the storage-non-existing proof compares `key_rlc` +with the key stored in `STORAGE_NON_EXISTING` row, not in `LEAF_KEY` row. + +The crucial thing is that we have a wrong leaf at the key (not exactly the same, just some starting +set of nibbles is the same) where we are proving there is no leaf. +If there would be a leaf at the specified key, it would be positioned in the branch where +the wrong leaf is positioned. Note that the position is determined by the starting set of nibbles. +Once we add the remaining nibbles to the starting ones, we need to obtain the enquired key. +There is a complementary constraint which makes sure the remaining nibbles are different for wrong leaf +and the non-existing leaf (in the case of wrong leaf, while the case with nil being in branch +is different). + +#### Storage leaf key acc s_bytes1 (long) + +If there is an even number of nibbles stored in a leaf, `s_bytes1` needs to be 32. + +#### Storage key RLC (long) + +Same as for `Storage key RLC (long)`, but here for the cases when there are two RLP bytes. + +#### Wrong leaf sum check (short and long) + +We compute the RLC of the key bytes in the `LEAF_NON_EXISTING` row. We check whether the computed +value is the same as the one stored in `accs.acc_c.rlc` column. + +#### Wrong leaf sum_prev check (short and long) + +We compute the RLC of the key bytes in the `STORAGE_NON_EXISTING` row. We check whether the computed +value is the same as the one stored in `accs.acc_c.mult` column. + +#### Key of a leaf is different than key being inquired + +The key in the `LEAF_KEY` row and the key in the LEAF_NON_EXISTING row are different. + +#### Nil object in parent branch + +In case when there is no wrong leaf, we need to check there is a nil object in the parent branch. +Note that the constraints in `branch.rs` ensure that `sel2` is 1 if and only if there is a nil object +at `modified_node` position. We check that in case of no wrong leaf in +the non-existing-storage proof, `is_nil_object` is 1. + +### Non existing storage proof leaf key RLC + +Ensuring that the storage does not exist when there is only one storage key in the storage trie. +Note 1: The hash of the only storage is checked to be the storage root in `leaf_value.rs`. +Note 2: There is no nil_object case checked in this gate, because it is covered in the gate +above. That is because when there is a branch (with nil object) in the first level, +it automatically means the leaf is not in the first level. + +### Non existing account proof leaf address RLC (leaf in first level) + +Similarly as the gate above, but for the account leaf being in the first level. + +### Key of wrong leaf and the enquired key are of the same length + +#### The number of nibbles in the wrong leaf and the enquired key are the same + +This constraint is to prevent the attacker to prove that some key does not exist by setting +some arbitrary number of nibbles in the storage leaf which would lead to a desired RLC. + +### s_main.bytes[i] = 0 when key ends + +Key RLC is computed over all of `(s_main.bytes[0]), s_main.bytes[1], ..., s_main.bytes[31], c_main.rlp1, c_main.rlp2` +because we do not know the key length in advance. +To prevent changing the key and setting `s_main.bytes[i]` (or `c_main.rlp1/c_main.rlp2`) for +`i > key_len + 1` to get the desired key RLC, we need to ensure that +`s_main.bytes[i] = 0` for `i > key_len + 1`. + +Note that the number of the key bytes in the `LEAF_NON_EXISTING` row needs to be the same as +the number of the key bytes in the `LEAF_KEY` row. + +### Range lookups + +Range lookups ensure that `s_main`, `c_main.rlp1`, `c_main.rlp2` columns are all bytes (between 0 - 255). +Note that `c_main.bytes` columns are not used. From 9d38948a3feb781c07df7e6b9935c17d9a5422ad Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 28 Oct 2022 15:40:11 +0200 Subject: [PATCH 60/92] MPT matching with scope document --- specs/mpt/scope.md | 211 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 211 insertions(+) create mode 100644 specs/mpt/scope.md diff --git a/specs/mpt/scope.md b/specs/mpt/scope.md new file mode 100644 index 000000000..a89f29ddb --- /dev/null +++ b/specs/mpt/scope.md @@ -0,0 +1,211 @@ +# MPT circuit scope + +The analysis of the MPT circuit scope has been done +[here](https://hackmd.io/nI_STO5HQ4G-ugKnQEzctg?view). +It was analyzed what trie transformations need to be supported by the MPT circuit. +In what follows we explain the correspondence between the transformations and the implementation. + +## Trie transformations + +Notation: + +- L Leaf without branch {L local_path} +- B Branch { node1 node2 .... node16 value} (note value is always empty) +- BL Leaf inside a branch {BL local_path value}(note value is ommited by default) +- H Hash +- E Extension {E local_path} +- a full path is the path from the root +- a local path is the path contained inside a leaf, extension or branch (in the case of branch is the position in the array). + +Note: only insert is considered as delete is its inverse - the implementation of insert and delete is +the same, it is just that S and C proof are reversed. + +### Insert in an empty trie + +Create al L node + +``` +{L} +``` + +There are no nodes in the S tree. There is only one L node in the C trie. + +However, note that when there is no leaf in S proof, a placeholder (an empty leaf) is added to maintain +the layout. So in the case of adding a leaf to an empty trie, we will have a placeholder leaf in +S proof and a newly added leaf in C proof. + +Two cases need to be considered: account leaf and storage leaf. + +#### Account leaf + +For the account leaf, the constraints are implemented in `account_leaf` folder. +The selector `not_first_level` is used to check whether we are in the first level or not. Being in the first +level means we are adding a leaf to an empty trie. +The case for being in the first level is needed in all `account_leaf` files, except in +`account_leaf_nonce_balance.rs` where mostly intermediate RLCs are checked and there are no checks +that involve parent element (parent element being trie root in the first level). +And also it is not needed for `account_leaf_key_in_added_branch.rs`: +a leaf cannot appear in the first element when it is added to a branch. Just as a note - +in `account_leaf_key_in_added_branch.rs` we need to check whether the parent element is in a first +level or not. + +In `account_leaf_key.rs` we need to consider being in the first level when computing the account address RLC +- when in the first level we do not take value from the parent branch as there is none, it just means all 64 +nibbles of the address are stored in a leaf. +In `account_leaf_storage_codehash.rs` we need to compare the leaf RLC (its hash) with the element in +the parent branch or with trie root if in the first level. +In `account_non_existing.rs` we need to check that the leaf is a placeholder when we are in an empty trie. + +#### Storage leaf + +For the storage leaf, the constraints are implemented in `storage_leaf` folder. +Similarly as for the account leaf we need to check whether we are in the first level or not. But here +we need to check whether we are in the first storage level - this is done by checking whether the storage +leaf appears immediately after the account leaf. Also, instead of checking the hash of the leaf being +the state trie root, we check whether it is the storage trie root. + +The constraints are analogous to the account leaf ones, but there are many differences: the storage +leaf RLP bytes that determine the leaf length can appear in two versions (1 byte or 2 bytes), we do +not have nonce, balance, storage trie root, and codehash here, we only have leaf value. Nevertheless, +as far as the first level checks go, the constraints are analogous. + +### Insert when branching occurs in a B + +E.g. L full path = 123 E 7890 + +If L overflows, set hash inthe branch and create a new L node +By overflows it is meant that the node exceeds 31 bytes and is thus hashed. +``` +{E 123} + {. . h . . . . . . . . h . . . . . . .} +=> insert 123 E 7890 +{E 123} + {. . h . . . . . . . . h . *H . . . . .} +``` + *{L 7890} +If L does NOT overflows, set BL node inside B +``` +{E 123} + {. . h . . . . . . . . h . . . . . . .} +=> insert 123 E 7890 +{E 123} + {. . h . . . . . . . . h . *{L 7890} . . . . .} +``` + +The hash of a leaf (or raw leaf if shorter than 32 bytes) is checked to be at the proper position +in the parent branch in `account_leaf_storage_codehash.rs` for account leaf and in +`leaf_value.rs` for storage leaf. +Note that account leaf is always hashed as it is always longer than 31 bytes. For storage leaf +we use a selector `not_hashed` in `leaf_value.rs` to consider the two cases. + +### Insert when branching occurs in L + +(1) Optionally create an extension if between the existing leaf and the leaf to insert shares a prefix in local_path + +``` +{E 123} + {. . h . . . . . . . . H . . . . . . .} + {L 456789} +=> insert 123 B 456 AAA +{E 123} + {. . h . . . . . . . . *H . . . . . . .} + *{E 456} + *{. . . . . . . . . . . . . . . .} +(2) After, create BL or L. +``` + +This case is handled in the same way as the case below (branching in BL). + +### Insert when branching occurs in BL + +If NOT overflows is embeded into branch +``` +{. . H . . . . . . . . {456789 BL} . . . . . . .} +=> insert B456 7 99 +{. . H . . . . . . . . *H . . . . . .} + *{E B456} + *{. . . . . . . {BL 89} . {BL 99} . . . . . . .} +``` + +If overflows a new leaf is created + +``` +{. . H . . . . . . . . {BL 456789} . . . . . . .} +=> insert B456 7 99 +{. . H . . . . . . . . *H . . . . . .} + *{E B456} + *{. . . . . . . {BL 89} . H . . . . . . .} + *{BL 99} +``` + +When a leaf is added to the position where some leaf already existed (not the same position, +a new branch is inserted. The constraints for an account leaf in a newly added branch are +in `account_leaf_key_in_added_branch.rs` and for a storage leaf in `leaf_key_in_added_branch.rs`. + +Note that a branch placeholder is inserted to maintain the layout. That means that a placeholder +branch is in S proof in the same rows as the newly added branch in C proof. + +### Insert when branching occurs in E + +If branching is not in the last nibble +``` +{E 1234} + { . . . . . 5 . 7 . . . . . . . . . } +=> insert 1111 +{E 1} + { . 1 2 . . . . . . . . . . . . . . } + {E 3 4} + { . . . . . 5 . 7 . . . . . . . . . } + {x 11} +``` + +If branching is in the last nibble +``` +{E 1234} + { . . . . . 5 . 7 . . . . . . . . . } +=> insert 1233 +{E 123} + { . . . 3 4 . . . . . . . . . . . . } + { . . . . . 5 . 7 . . . . . . . . . } + {x 3} +``` + +For cases when a leaf is added to a branch that is inside an extension node, it needs to be checked +that the branch hash is in the extension node `extension_node.rs`. Also, it needs to be checked that +the intermediate address or key RLC (depending whether in account proof or storage proof) is properly +computed - extension node nibbles need to be considered (`extension_node_key.rs`). + +For cases when additional extension node need to be inserted, the implementation is not ready yet. + +### Update L & Update BL + +If overflows and the node is a branch, embed the node inside the branch +``` +{. . . . . . . H . . . H . . . .} + {L} +=> +{. . . . . . . H . . . *L . . . .} +``` + +else: update L node +``` +{. . . . . . . H . . . L . . . .} +=> +{. . . . . . . H . . . *L . . . .} +``` + +Updating requires checking everything what is checked for inserting a new leaf, but here we do not +have a placeholder leaf or a placeholder branch. +The checks that are common are: + + * checks that the change occurs only at the given address/key - all other branch rows + are the same in S and C proof (`branch.rs`) + * checks that the modification propagates properly by changed hashes in all the parent elements up + to the root (`branch_hash_in_parent.rs`) + * checks that the hash of the element is in the parent branch or the same as trie root + (`account_leaf_storage_codehash.rs` and `leaf_value.rs`) + * checks that the node RLC is properly computed (`branch_rlc.rs` for branches, `account_leaf_key.fs`, + `account_leaf_nonce_balance.rs`, `account_leaf_storage_codehash.rs` for account leaf, and + `leaf_key.rs` and `leaf_value.rs` for storage leaf) + * checks that the intermediate address or key RLC (depending whether in account or storage proof) + is properly computed (`branch_key.rs` for branches, `extension_node_key.rs` for extension nodes). \ No newline at end of file From 5cda455650b27d25dc9e3472c387f4b3e1942c3d Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 28 Oct 2022 15:52:08 +0200 Subject: [PATCH 61/92] MPT docs fix --- specs/mpt/scope.md | 43 ++++++++++++++++++++++--------------------- 1 file changed, 22 insertions(+), 21 deletions(-) diff --git a/specs/mpt/scope.md b/specs/mpt/scope.md index a89f29ddb..9a5edcf4d 100644 --- a/specs/mpt/scope.md +++ b/specs/mpt/scope.md @@ -30,9 +30,10 @@ Create al L node There are no nodes in the S tree. There is only one L node in the C trie. -However, note that when there is no leaf in S proof, a placeholder (an empty leaf) is added to maintain -the layout. So in the case of adding a leaf to an empty trie, we will have a placeholder leaf in -S proof and a newly added leaf in C proof. +Note that when there is no leaf in S proof, a placeholder (an empty leaf) is added to maintain +the layout (having a placeholder leaf in S proof in the same rows as there is a newly added leaf in C proof). +So in the case of adding a leaf to an empty trie, we will have a placeholder leaf in +S proof and a newly added leaf in a C proof. Two cases need to be considered: account leaf and storage leaf. @@ -41,20 +42,20 @@ Two cases need to be considered: account leaf and storage leaf. For the account leaf, the constraints are implemented in `account_leaf` folder. The selector `not_first_level` is used to check whether we are in the first level or not. Being in the first level means we are adding a leaf to an empty trie. -The case for being in the first level is needed in all `account_leaf` files, except in -`account_leaf_nonce_balance.rs` where mostly intermediate RLCs are checked and there are no checks -that involve parent element (parent element being trie root in the first level). -And also it is not needed for `account_leaf_key_in_added_branch.rs`: -a leaf cannot appear in the first element when it is added to a branch. Just as a note - +The case for being in the first level needs to be handled in all `account_leaf` files, except in +`account_leaf_nonce_balance.rs`, where mostly intermediate RLCs are checked and there are no checks +that involve parent element (parent element being trie root when in the first level). +Also it is not needed for `account_leaf_key_in_added_branch.rs`: +a leaf cannot appear in the first element when it is added to a new branch. Just as a note - in `account_leaf_key_in_added_branch.rs` we need to check whether the parent element is in a first level or not. -In `account_leaf_key.rs` we need to consider being in the first level when computing the account address RLC -- when in the first level we do not take value from the parent branch as there is none, it just means all 64 -nibbles of the address are stored in a leaf. +In `account_leaf_key.rs` we need to consider being in the first level when computing the account +address RLC - when in the first level we do not take the value from the parent branch as there is none, +all 64 nibbles of the address are stored in a leaf. In `account_leaf_storage_codehash.rs` we need to compare the leaf RLC (its hash) with the element in the parent branch or with trie root if in the first level. -In `account_non_existing.rs` we need to check that the leaf is a placeholder when we are in an empty trie. +In `account_non_existing.rs` we need to ensure that the leaf is a placeholder when we are in an empty trie. #### Storage leaf @@ -64,10 +65,10 @@ we need to check whether we are in the first storage level - this is done by che leaf appears immediately after the account leaf. Also, instead of checking the hash of the leaf being the state trie root, we check whether it is the storage trie root. -The constraints are analogous to the account leaf ones, but there are many differences: the storage +The constraints are analogous to the account leaf ones, but there are also many differences: the storage leaf RLP bytes that determine the leaf length can appear in two versions (1 byte or 2 bytes), we do -not have nonce, balance, storage trie root, and codehash here, we only have leaf value. Nevertheless, -as far as the first level checks go, the constraints are analogous. +not have a nonce, balance, storage trie root, and codehash here, we only have a leaf value. Nevertheless, +as far as the first level checks go, the constraints are analogous (`leaf_key.rs`, `leaf_value.rs`). ### Insert when branching occurs in a B @@ -95,7 +96,7 @@ If L does NOT overflows, set BL node inside B The hash of a leaf (or raw leaf if shorter than 32 bytes) is checked to be at the proper position in the parent branch in `account_leaf_storage_codehash.rs` for account leaf and in `leaf_value.rs` for storage leaf. -Note that account leaf is always hashed as it is always longer than 31 bytes. For storage leaf +Note that the account leaf is always hashed as it is always longer than 31 bytes. For storage leaf we use a selector `not_hashed` in `leaf_value.rs` to consider the two cases. ### Insert when branching occurs in L @@ -138,8 +139,8 @@ If overflows a new leaf is created *{BL 99} ``` -When a leaf is added to the position where some leaf already existed (not the same position, -a new branch is inserted. The constraints for an account leaf in a newly added branch are +When a leaf is added to the position where some leaf already existed, +a new branch is inserted. The constraints for an account leaf in a newly added branch are implemented in `account_leaf_key_in_added_branch.rs` and for a storage leaf in `leaf_key_in_added_branch.rs`. Note that a branch placeholder is inserted to maintain the layout. That means that a placeholder @@ -201,11 +202,11 @@ The checks that are common are: * checks that the change occurs only at the given address/key - all other branch rows are the same in S and C proof (`branch.rs`) * checks that the modification propagates properly by changed hashes in all the parent elements up - to the root (`branch_hash_in_parent.rs`) + to the root (`branch_hash_in_parent.rs`, `extension_node.rs`) * checks that the hash of the element is in the parent branch or the same as trie root (`account_leaf_storage_codehash.rs` and `leaf_value.rs`) * checks that the node RLC is properly computed (`branch_rlc.rs` for branches, `account_leaf_key.fs`, `account_leaf_nonce_balance.rs`, `account_leaf_storage_codehash.rs` for account leaf, and - `leaf_key.rs` and `leaf_value.rs` for storage leaf) - * checks that the intermediate address or key RLC (depending whether in account or storage proof) + `leaf_key.rs` and `leaf_value.rs` for storage leaf, `extension_node.rs` for extension node) + * checks that the intermediate address or key RLC (depending whether we are in account or storage proof) is properly computed (`branch_key.rs` for branches, `extension_node_key.rs` for extension nodes). \ No newline at end of file From 21640e4834a5eb36fc2fb4f4108520d1c4f4f655 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 1 Dec 2022 12:47:59 +0100 Subject: [PATCH 62/92] Info about implicit leaf creations --- specs/mpt/mpt-proof.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md index fbe651a46..509d33103 100644 --- a/specs/mpt/mpt-proof.md +++ b/specs/mpt/mpt-proof.md @@ -27,6 +27,10 @@ The circuit exposes a table which looks like: | $addr | StorageMod | $key | $valuePrev | $value | $rootPrev | $root | | $addr | NonExistingStorageProof | $key | 0 | 0 | $root | $root | +Note that `StorageMod` proof also supports storage leaf creation and storage leaf deletion, +`NonceMod` also supports account leaf creation with nonce value and the rest of fields set to default, and +`BalanceMod` also supports account leaf creation with balance value and the rest of fields set to default. + The proof returned by `eth getProof` looks like: ``` From 0eccdc74c4b41fb74ce223e37ea3922472140aa2 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 18 Apr 2023 16:57:50 +0200 Subject: [PATCH 63/92] started rewriting MPT specs --- specs/mpt/branch.md | 44 +++++++++ specs/mpt/main.md | 120 +++++++++++++++++++++++ specs/mpt/mpt-proof.md | 211 ---------------------------------------- specs/mpt/rlp-gadget.md | 0 specs/mpt/start.md | 0 5 files changed, 164 insertions(+), 211 deletions(-) create mode 100644 specs/mpt/main.md delete mode 100644 specs/mpt/mpt-proof.md create mode 100644 specs/mpt/rlp-gadget.md create mode 100644 specs/mpt/start.md diff --git a/specs/mpt/branch.md b/specs/mpt/branch.md index 62867c8fd..7cb02cb82 100644 --- a/specs/mpt/branch.md +++ b/specs/mpt/branch.md @@ -33,6 +33,50 @@ Example: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17] ``` +The witness data for branch contains 16 children which are distributed across 16 rows. +There is an additional branch init row and two extension node rows (for cases when branch resides +in an extension node). + +Branch rows: +``` +Branch init +Branch child 0 +... +Branch child 15 +Extension node S +Extension node C +``` + +The branch does not include raw children, it includes only a hash of each children (except +when a child is shorter than 32 bytes, in this case the raw child is part of a branch). + +When non-empty node, the branch child row looks like: +``` +160 hash(child i) +``` + +The value 160 is RLP specific and it means the the following RLP string is of length `128 = 160 - 32`. + +When empty node, the branch child row looks like: +``` +128 0 ... 0 +``` + +In case there is a branch child of length smaller than 32, its corresponding row looks like: +``` +194 32 1 0 ... 0 +``` + +The value 194 is RLP specific and it means that the following RLP list is of length +`2 = 194 - 192`. + +Note [that](main.md) there are `S` and `C` parallel proofs, however +we do not need to include the whole `C` proof in the witness as 15 out of 16 rows stay the same. +At each trie level, there is only one branch child that has been modified and we include it +in the branch init row. + +--- + Note that when `BRANCH.IS_CHILD` row presents a nil node, there is only one byte non-zero: 128 at `s_main.bytes[0] / c_main.bytes[0]`. diff --git a/specs/mpt/main.md b/specs/mpt/main.md new file mode 100644 index 000000000..7453ae020 --- /dev/null +++ b/specs/mpt/main.md @@ -0,0 +1,120 @@ +# Merkle Patricia Trie (MPT) Proof + +MPT circuit checks that the modification of the trie state happened correctly. + +Let us assume there are two proofs (as returned by `eth getProof`): + +- A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. +- A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. + +The circuit checks the transition from `val1` to `val2` at `key1` that led to the change +of trie root from `root1` to `root2`. + +Similarly, MPT circuit can prove that `nonce`, `balance`, or `codehash` has been changed at +a particular address. But also, the circuit can prove that at a particular address no account exists +(`NonExistingAccountProof`), that at particular storage key no value is stored `NonExistingStorageProof`, +or that at a particular address an account has been deleted. + +The circuit exposes a table which looks like: + +| Address | ProofType | Key | ValuePrev | Value | RootPrev | Root | +| ------- | ----------------------- | ---- | ------------- | ------------ | --------- | ----- | +| $addr | NonceMod | 0 | $noncePrev | $nonceCur | $rootPrev | $root | +| $addr | BalanceMod | 0 | $balancePrev | $balanceCur | $rootPrev | $root | +| $addr | CodeHashMod | 0 | $codeHashPrev | $codeHashCur | $rootPrev | $root | +| $addr | NonExistingAccountProof | 0 | 0 | 0 | $root | $root | +| $addr | AccountDeleteMod | 0 | 0 | 0 | $rootPrev | $root | +| $addr | StorageMod | $key | $valuePrev | $value | $rootPrev | $root | +| $addr | NonExistingStorageProof | $key | 0 | 0 | $root | $root | + +Note that `StorageMod` proof also supports storage leaf creation and storage leaf deletion, +`NonceMod` also supports account leaf creation with nonce value and the rest of fields set to default, and +`BalanceMod` also supports account leaf creation with balance value and the rest of fields set to default. + +The proof returned by `eth getProof` looks like: + +``` +{ + "id": 1, + "jsonrpc": "2.0", + "result": { + "accountProof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380", + "0xf90211a...5fb20c80", + "0xf90211a...0675b80", + "0xf90151a0...ca08080" + ], + "balance": "0x0", + "codeHash": "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", + "nonce": "0x0", + "storageHash": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "storageProof": [ + { + "key": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", + "proof": [ + "0xf90211a...0701bc80", + "0xf90211a...0d832380" + ], + "value": "0x1" + } + ] + } +} +``` + +In the above case, the account proof contains five elements. +The first four are branches or extension nodes, the last one is an account leaf. +The hash of the account leaf is checked to +be in the fourth element (at the proper position - depends on the account address). +The hash of the fourth element is checked to be in the third element (at the proper position). +When we arrive to the top, the hash of the first element needs to be the same as trie root. + +The storage proof in the above case contains two elements. +The first one is branch or extension node, the second element is a storage leaf. +The hash of the storage leaf is checked to +be in the first element at the proper position (depends on the key). + +The hash of the first storage proof element (storage root) needs to be checked +to be in the account leaf of the last account proof element. + +## Two parallel proofs + +This section explains why the MPT circuit handles two parallel proofs at the +same time. One proof presents the state (might be denoted as `S` or `State`) of the trie +before the modification and the othe presents the state +of the trie after modification (might be denoted as `C` or `Change`). + +We do not need to include the whole `C` proof in the witness as 15 out of 16 rows stay the same. +At each trie level, there is only one branch child that has been modified. + +## Proof type + +MPT circuit supports the following proofs: + - NonceChanged + - BalanceChanged + - CodeHashExists + - AccountDestructed + - AccountDoesNotExist + - StorageChanged + - StorageDoesNotExist + +## Constraints for different types of nodes + +The constraints are grouped according to different trie node types: + * Account leaf: [account-leaf.md](account-leaf.md) + * Storage leaf: [storage-leaf.md](storage-leaf.md) + * Branch and extension node: [branch.md](branch.md) + +Additionally, [there](rlp-gadget.md) is a RLP gadget for RLP constraints as all trie nodes are RLP +encoded. To ensure the initial state is set properly, there is the [start gadget](start.md). + +## Proof chaining + +One proof proves one modification. When two or more modifications are to be +proved to be correct, a chaining between proofs is needed. +That means we need to ensure: + +``` +current S state trie root = previous C state trie root +``` \ No newline at end of file diff --git a/specs/mpt/mpt-proof.md b/specs/mpt/mpt-proof.md deleted file mode 100644 index 509d33103..000000000 --- a/specs/mpt/mpt-proof.md +++ /dev/null @@ -1,211 +0,0 @@ -# Merkle Patricia Trie (MPT) Proof - -MPT circuit checks that the modification of the trie state happened correctly. - -Let us assume there are two proofs (as returned by `eth getProof`): - -- A proof that there exists value `val1` at key `key1` for address `addr` in the state trie with root `root1`. -- A proof that there exists value `val2` at key `key1` for address `addr` in the state trie with root `root2`. - -The circuit checks the transition from `val1` to `val2` at `key1` that led to the change -of trie root from `root1` to `root2`. - -Similarly, MPT circuit can prove that `nonce`, `balance`, or `codehash` has been changed at -a particular address. But also, the circuit can prove that at a particular address no account exists -(`NonExistingAccountProof`), that at particular storage key no value is stored `NonExistingStorageProof`, -or that at a particular address an account has been deleted. - -The circuit exposes a table which looks like: - -| Address | ProofType | Key | ValuePrev | Value | RootPrev | Root | -| ------- | ----------------------- | ---- | ------------- | ------------ | --------- | ----- | -| $addr | NonceMod | 0 | $noncePrev | $nonceCur | $rootPrev | $root | -| $addr | BalanceMod | 0 | $balancePrev | $balanceCur | $rootPrev | $root | -| $addr | CodeHashMod | 0 | $codeHashPrev | $codeHashCur | $rootPrev | $root | -| $addr | NonExistingAccountProof | 0 | 0 | 0 | $root | $root | -| $addr | AccountDeleteMod | 0 | 0 | 0 | $rootPrev | $root | -| $addr | StorageMod | $key | $valuePrev | $value | $rootPrev | $root | -| $addr | NonExistingStorageProof | $key | 0 | 0 | $root | $root | - -Note that `StorageMod` proof also supports storage leaf creation and storage leaf deletion, -`NonceMod` also supports account leaf creation with nonce value and the rest of fields set to default, and -`BalanceMod` also supports account leaf creation with balance value and the rest of fields set to default. - -The proof returned by `eth getProof` looks like: - -``` -{ - "id": 1, - "jsonrpc": "2.0", - "result": { - "accountProof": [ - "0xf90211a...0701bc80", - "0xf90211a...0d832380", - "0xf90211a...5fb20c80", - "0xf90211a...0675b80", - "0xf90151a0...ca08080" - ], - "balance": "0x0", - "codeHash": "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470", - "nonce": "0x0", - "storageHash": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", - "storageProof": [ - { - "key": "0x56e81f171bcc55a6ff8345e692c0f86e5b48e01b996cadc001622fb5e363b421", - "proof": [ - "0xf90211a...0701bc80", - "0xf90211a...0d832380" - ], - "value": "0x1" - } - ] - } -} -``` - -In the above case, the account proof contains five elements. -The first four are branches or extension nodes, the last one is an account leaf. -The hash of the account leaf is checked to -be in the fourth element (at the proper position - depends on the account address). -The hash of the fourth element is checked to be in the third element (at the proper position). -When we arrive to the top, the hash of the first element needs to be the same as trie root. - -The storage proof in the above case contains two elements. -The first one is branch or extension node, the second element is a storage leaf. -The hash of the storage leaf is checked to -be in the first element at the proper position (depends on the key). - -The hash of the first storage proof element (storage root) needs to be checked -to be in the account leaf of the last account proof element. - -## Two parallel proofs - -This section explains why MPT circuit handles two parallel proofs at the -same time. There is `S` (as `State`) proof which presents the state of the trie -before the modification. And there is `C` (as `Change`) proof which presents the state -of the trie after modification. - -The columns are split into two categories (not to be mixed with two parallel proofs). -There are `2 * (2 + 32)` columns which contain RLP -streams returned by `getProof`. The other columns are selectors (for example which kind of -row we are at). - -The value `2 * (2 + 32)` comes from the fact that keccak output is of 32 width. -The additional 2 bytes are for RLP specific bytes which store information like -how long is the substream. -Finally, the multiplier 2 is because we always have two parallel proofs: -before and after the modification. - -The struct `MainCols` contains `rlp1`, `rlp2` bytes (2 bytes) and an array `bytes` of length 32. -There is `MainCols` for `S` proof (named `s_main`) and -`MainCols` for `C` proof (named `c_main`). - -Branch contains 16 children which are distributed over 16 rows. -We have branch `S` and branch `C`. - -Branch rows: -``` -Branch S child 0 | Branch C child 0 -... -Branch S child 15 | Branch C child 15 -``` - -The branch does not include raw children, it includes only a hash of each children (except -when a child is shorter than 32 bytes, in this case the raw child is part of a branch). - -To get some impression how the witness data is distributed over the columns let us observe -the branch layout. -Branch rows look like (you can see there are `2 * (2 + 32)` columns): -``` -s_main | c_main -rlp1 rlp2 bytes | rlp1 rlp2 bytes -0 160 hash(S child 0) | 0 160 hash(C child 0) -... -0 160 hash(S child 15) | 0 160 hash(C child 15) -``` - -The value 160 is RLP specific and it means that the following RLP string is of length -`32 = 160 - 128`. - -Branch can have some empty children, in this case the row looks like: -``` -0 0 128 0 ... 0 | 0 0 128 0 ... 0 -``` - -In case, there is a child of length smaller than 32, its corresponding branch row looks like: -``` -0 0 194 32 1 0 ... 0 | 0 0 194 32 1 0 ... 0 -``` - -The value 194 is RLP specific and it means that the following RLP list is of length -`2 = 194 - 192`. - -## Proof type - -MPT circuit supports the following proofs: - - Storage modification - - Nonce modification - - Balance modification - - Codehash proof - - Account delete modification - - Non existing account proof - - Non existing storage proof - -There is a struct `ProofTypeCols` that is used to specify the type of a proof: -``` -struct ProofTypeCols { - proof_type: Column, - is_storage_mod: Column, - is_nonce_mod: Column, - is_balance_mod: Column, - is_codehash_mod: Column, - is_account_delete_mod: Column, - is_non_existing_account_proof: Column, - is_non_existing_storage_proof: Column, -} -``` - -Except for the `proof_type`, the fields are boolean to simplify the writing of the constraints. -The MPT lookup uses only the `proof_type` field - one of the following values: - -``` -NonceMod = 1 -BalanceMod = 2 -CodeHashMod = 3 -NonExistingAccountProof = 4 -AccountDeleteMod = 5 -StorageMod = 6 -NonExistingStorageProof = 7 -``` - -## Constraints for different types of nodes - -The constraints are grouped according to different trie node types: - * Account leaf constraints documentation is in [account-leaf.md](account-leaf.md). - * Storage leaf constraints documentation is in [storage-leaf.md](storage-leaf.md). - * Branch constraints documentation is in [branch.md](branch.md). - * Extension node constraints documentation is in [extension-node.md](extension-node.md). - * Proof chain constraints documentation is in [proof_chain.md](proof_chain.md). - * Selector constraints documentation is in [selectors.md](selectors.md). - -Some visual presentations of the MPT circuit aspects can be found [here](visual.md). -Explanation about helper methods that are used across different configs can be found -[here](helpers.md). - -## Proof chaining - -One proof proves one modification. When two or more modifications are to be -proved to be correct, a chaining between proofs is needed. -That means we need to ensure: - -``` -current S state trie root = previous C state trie root -``` - -For this reason `not_first_level` selector is used which is set to 0 for the -first rows of the proof. These are either the rows of the first -branch / extension node or the rows of the account leaf (if only one element -in the state trie). - -Having `not_first_level` selector we know when the switch happens to a new proof and the constraint -above can be ensured. \ No newline at end of file diff --git a/specs/mpt/rlp-gadget.md b/specs/mpt/rlp-gadget.md new file mode 100644 index 000000000..e69de29bb diff --git a/specs/mpt/start.md b/specs/mpt/start.md new file mode 100644 index 000000000..e69de29bb From 9f05bcf7ded0d99863bd48bd975660064e50146c Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 19 Apr 2023 17:18:52 +0200 Subject: [PATCH 64/92] MPT memory --- specs/mpt/main.md | 92 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 92 insertions(+) diff --git a/specs/mpt/main.md b/specs/mpt/main.md index 7453ae020..2e8740fe9 100644 --- a/specs/mpt/main.md +++ b/specs/mpt/main.md @@ -117,4 +117,96 @@ That means we need to ensure: ``` current S state trie root = previous C state trie root +``` + +## Memory + +There are certain values that need to be accumulated when traversing through the trie nodes. For example, +the account address RLC is being updated in each branch - the nibble that specifies which branch child is modified +contributes to the account address RLC. + +To update the value in the current trie node, the value from the previous node needs to be retrieved. +For this reason, some kind of memory is needed. The circuit +checks that the "memory" value is correct by executing a lookup. + +This is achieved as follows. The previous node stores the value (that has been checked to be correct) in the lookup table (`store` instruction in the table below). +The current node executes the lookup (`load` instruction in the table below) with the value to check whether the "memorized" value is correct. Note that the key is used for a lookup - the key is important because at different stages (meaning different nodes) there are different correct values; the key acts as a counter and it ensures that only the value from the required stage is correct. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
rowinstructionkeymemory_value
0store(a)0
11a
2load(key.cur(), a)1
31
4store(b)1
5load(key.cur(), b)2b
+ +The memory mechanism is used for `MainData`, `ParentData`, and `KeyData`: + +``` +pub(crate) struct MainData { + pub(crate) proof_type: Cell, + pub(crate) is_below_account: Cell, + pub(crate) address_rlc: Cell, + pub(crate) root_prev: Cell, + pub(crate) root: Cell, +} + +pub(crate) struct ParentData { + pub(crate) rlc: Cell, + pub(crate) is_root: Cell, + pub(crate) is_placeholder: Cell, + pub(crate) drifted_parent_rlc: Cell, +} + +pub(crate) struct KeyData { + pub(crate) rlc: Cell, + pub(crate) mult: Cell, + pub(crate) num_nibbles: Cell, + pub(crate) is_odd: Cell, + pub(crate) drifted_rlc: Cell, + pub(crate) drifted_mult: Cell, + pub(crate) drifted_num_nibbles: Cell, + pub(crate) drifted_is_odd: Cell, +} ``` \ No newline at end of file From 79b5a65d89c2a17309dfd5a62ac17133a2265809 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 20 Apr 2023 17:29:00 +0200 Subject: [PATCH 65/92] MainData, ParentData --- specs/mpt/start.md | 55 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) diff --git a/specs/mpt/start.md b/specs/mpt/start.md index e69de29bb..5136b4f37 100644 --- a/specs/mpt/start.md +++ b/specs/mpt/start.md @@ -0,0 +1,55 @@ +# Start + +`StartConfig` ensures the initial values in the [memory](main.md) lookup tables are set properly. +The memory mechanism is used for `MainData`, `ParentData`, and `KeyData`. + +## MainData + +For `MainData`, the `StartConfig` sets `proof_type`, `is_below_account`, `address_rlc`, +`root_prev`, and `root`. + +The `proof_type` is set to one of the following: + - NonceChanged = 1 + - BalanceChanged = 2 + - CodeHashExists = 3 + - AccountDestructed = 4 + - AccountDoesNotExist = 5 + - StorageChanged = 6 + - StorageDoesNotExist = 7 + +The `is_below_account` is set to `false` as the proof always start with an account proof. +This value is later updated to `true` in the account leaf before the rows of the storage proof +begin - `is_below_account` acts as a selector to trigger constraints that are needed in the +first level of the storage proof (for example, checking the storage trie root being in the +account leaf). + +The `address_rlc` is set to the account address RLC. This value is updated in the account leaf +to the storage key RLC. + +The values `root_prev` and `root` are set to the previous and current root of the state trie. +These two values never change in the proof rows. + +## ParentData + +For `ParentData`, the `StartConfig` sets `rlc`, `is_root`, `is_placeholder`, and +`drifted_parent_rlc`. + +The `rlc` is set to the root of the state trie. This value is used to check that the RLC +of the node below is `rlc`. In the start case, this means that the RLC of the top element +of the trie is `rlc`. In the branch case, this means that the RLC of the modified element +in the branch is `rlc`. In the account leaf case, this means that the RLC of the top element +of the storage trie is `rlc`. + +The `is_root` is set to `true`. This value is set to `false` in all subsequent nodes. + +The `is_placeholder` is set to `false`. This value is set to `true` in the branches +that appear only as a placeholder in one of the two parallel proofs - in some cases +one of the proofs has one branch less than the other (details in branch documentation). + +The `drifted_parent_rlc` is set to the root of the state trie. This value is different from +the `rlc` only in the case of a placeholder branch. + +## KeyData + +For `KeyData`, the `StartConfig` sets `rlc`, `mult`, `num_nibbles`, `is_odd`, +`drifted_rlc`, `drifted_mult`, `drifted_num_nibbles`, and `drifted_is_odd`. \ No newline at end of file From 24a7c02664e0712a51442586f3660e7ba8b5db50 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 24 Apr 2023 16:45:05 +0200 Subject: [PATCH 66/92] MPT start constraints --- specs/mpt/start.md | 55 ++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 46 insertions(+), 9 deletions(-) diff --git a/specs/mpt/start.md b/specs/mpt/start.md index 5136b4f37..348853044 100644 --- a/specs/mpt/start.md +++ b/specs/mpt/start.md @@ -17,16 +17,16 @@ The `proof_type` is set to one of the following: - StorageChanged = 6 - StorageDoesNotExist = 7 -The `is_below_account` is set to `false` as the proof always start with an account proof. +`is_below_account` is set to `false` as the proof always start with an account proof. This value is later updated to `true` in the account leaf before the rows of the storage proof begin - `is_below_account` acts as a selector to trigger constraints that are needed in the first level of the storage proof (for example, checking the storage trie root being in the account leaf). -The `address_rlc` is set to the account address RLC. This value is updated in the account leaf +`address_rlc` is set to the account address RLC. This value is updated in the account leaf to the storage key RLC. -The values `root_prev` and `root` are set to the previous and current root of the state trie. +`root_prev` and `root` are set to the previous and current root of the state trie. These two values never change in the proof rows. ## ParentData @@ -34,22 +34,59 @@ These two values never change in the proof rows. For `ParentData`, the `StartConfig` sets `rlc`, `is_root`, `is_placeholder`, and `drifted_parent_rlc`. -The `rlc` is set to the root of the state trie. This value is used to check that the RLC +`rlc` is set to the root of the state trie. This value is used to check that the RLC of the node below is `rlc`. In the start case, this means that the RLC of the top element of the trie is `rlc`. In the branch case, this means that the RLC of the modified element in the branch is `rlc`. In the account leaf case, this means that the RLC of the top element of the storage trie is `rlc`. -The `is_root` is set to `true`. This value is set to `false` in all subsequent nodes. +`is_root` is set to `true`. This value is set to `false` in all subsequent nodes. -The `is_placeholder` is set to `false`. This value is set to `true` in the branches +`is_placeholder` is set to `false`. This value is set to `true` in the branches that appear only as a placeholder in one of the two parallel proofs - in some cases one of the proofs has one branch less than the other (details in branch documentation). -The `drifted_parent_rlc` is set to the root of the state trie. This value is different from -the `rlc` only in the case of a placeholder branch. +`drifted_parent_rlc` is set to the root of the state trie. This value is different from +`rlc` only in the case of a placeholder branch. ## KeyData For `KeyData`, the `StartConfig` sets `rlc`, `mult`, `num_nibbles`, `is_odd`, -`drifted_rlc`, `drifted_mult`, `drifted_num_nibbles`, and `drifted_is_odd`. \ No newline at end of file +`drifted_rlc`, `drifted_mult`, `drifted_num_nibbles`, and `drifted_is_odd`. + +`rlc` is set to `0`. This value is used for an intermediate address (or storage key when in storage proof) RLC. +In a branch, this value is updated by a modified nibble. In an extension node, this value is updated by extension +node nibbles. In an account leaf, this value is set to `0` as from this point on it is used for the storage key RLC). + +`mult` value is set to `1`. This value stores the multiplier to be used for computing `rlc`. +For example: +``` +rlc = 0 +mult = 1 + +rlc = branch1_nibble * mult // rlc after first branch +mult = r + +rlc = rlc + branch2_nibble * mult // rlc after second branch +mult = mult * r +``` + +`num_nibbles` is set to `0`. This value stores the number of branch / extension node nibbles that appeared up +to the current row. It is incremented by `1` in a branch node and by the number of extension node nibbles +in an extension node. + +`is_odd` is set to `false`. This value stores the information whether `num_nibbles` is odd or even. +This information is needed because the compact encoding of the remaining nibbles in the leaf is affected by +`num_nibbles` being odd or even. + +`drifted_rlc` is set to `0`. This value is needed only when branch is a placeholder. In this case, +the underlying leaf (the placeholder branch appears only directly above the leaf) needs to use `rlc` +from the branch above the placeholder branch - `drifted_rlc` stores this value. + +`drifted_mult` is set to `1`. Like for `drifted_rlc`, this value is needed only when branch is a placeholder. + +`drifted_num_nibbles` is set to `0`. Like for `drifted_rlc` and `drifted_mult`, +this value is needed only when branch is a placeholder. + +`drifted_is_odd` is set to `false`. Like for the above three values, +this value is needed only when branch is a placeholder. \ No newline at end of file From acd3381dea3f652a83589ec50a355f99c52ef091 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Fri, 9 Jun 2023 16:18:29 +0200 Subject: [PATCH 67/92] Started on account leaf rewriting --- specs/mpt/account-leaf.md | 61 +++++++++++++++++++++++++++++++++++++++ specs/mpt/main.md | 46 ++++++++++++++++++++++++++++- 2 files changed, 106 insertions(+), 1 deletion(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index b45dad6bc..eea505cd5 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -1,5 +1,66 @@ # Account leaf +An example account leaf RLP stream: + +``` +[248 108 157 52 45 53 199 120 18 165 14 109 22 4 141 198 233 128 219 44 247 218 241 231 2 206 125 246 58 246 15 3 184 76 248 74 4 134 85 156 208 108 8 0 160 86 232 31 23 27 204 85 166 255 131 69 230 146 192 248 110 91 72 224 27 153 108 173 192 1 98 47 181 227 99 180 33 160 197 210 70 1 134 247 35 60 146 126 125 178 220 199 3 192 229 0 182 83 202 130 39 59 123 250 216 4 93 133 164 112] +``` + +And after the balance is modified: +``` +[248 101 156 58 168 111 115 58 191 32 139 53 139 168 184 7 8 29 109 70 164 7 116 82 56 174 242 193 51 253 77 184 70 248 68 4 23 160 86 232 31 23 27 204 85 166 255 131 69 230 146 192 248 110 91 72 224 27 153 108 173 192 1 98 47 181 227 99 180 33 160 197 210 70 1 134 247 35 60 146 126 125 178 220 199 3 192 229 0 182 83 202 130 39 59 123 250 216 4 93 133 164 112] +``` + +The account leaf `Node` in the circuit looks: +``` +{ +"address":[204,228,98,4,186,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77], +"list_rlp_bytes":[[248,108],[248,101]], +"value_rlp_bytes":[[184,76],[184,70]], +"value_list_rlp_bytes":[[248,74],[248,68]], +"drifted_rlp_bytes":[248,107], +"wrong_rlp_bytes":[248,101]}, +"storage":null, +"values":[ + [157,52,45,53,199,120,18,165,14,109,22,4,141,198,233,128,219,44,247,218,241,231,2,206,125,246,58,246,15,3,0,0,0,0], + [156,58,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], + [134,85,156,208,108,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], + [160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0], + [160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112,0], + [4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], + [23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], + [160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0], + [160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112,0], + [156,61,53,199,120,18,165,14,109,22,4,141,198,233,128,219,44,247,218,241,231,2,206,125,246,58,246,15,3,0,0,0,0,0], + [156,58,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77,0,0,0,0,0] +], +"keccak_data":[ + [248,108,157,52,45,53,199,120,18,165,14,109,22,4,141,198,233,128,219,44,247,218,241,231,2,206,125,246,58,246,15,3,184,76,248,74,4,134,85,156,208,108,8,0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112],[248,101,156,58,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77,184,70,248,68,4,23,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112], + [248,107,156,61,53,199,120,18,165,14,109,22,4,141,198,233,128,219,44,247,218,241,231,2,206,125,246,58,246,15,3,184,76,248,74,4,134,85,156,208,108,8,0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112] +] +} +``` + +The rows of `values` are: +``` +AccountKeyS +AccountKeyC +AccountNonceS +AccountBalanceS +AccountStorageS +AccountCodehashS +AccountNonceC +AccountBalanceC +AccountStorageC +AccountCodehashC +AccountDrifted +AccountWrong +``` + +## Old + An account leaf occupies 8 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. The rows are as follows: diff --git a/specs/mpt/main.md b/specs/mpt/main.md index 2e8740fe9..34d362ce7 100644 --- a/specs/mpt/main.md +++ b/specs/mpt/main.md @@ -209,4 +209,48 @@ pub(crate) struct KeyData { pub(crate) drifted_num_nibbles: Cell, pub(crate) drifted_is_odd: Cell, } -``` \ No newline at end of file +``` + +## Nodes + +There are three different nodes in the MPT: + + * Branch (and its special case Extension node) + * Account leaf + * Storage leaf + +In the circuit, there is a special node added that marks the beggining and end of +the proof: `StartNode`. An example of the start node: + +``` +{"start":{"proof_type":"BalanceChanged"},"extension_branch":null,"account":null,"storage":null,"values":[[160,92,69,153,141,251,249,206,112,188,187,128,87,78,215,166,34,146,45,44,119,94,10,35,49,254,90,139,141,204,153,244,144,0],[160,125,24,72,139,179,78,113,251,49,243,102,147,31,42,67,250,44,213,59,218,72,77,153,183,213,188,44,45,1,156,32,62,0]],"keccak_data":[]} +``` + +Note that `values` contain the hashes of `S` and `C` tries. Also, `keccak_data` is empty as +there is no byte stream for which we need a hash. + +An example of the end node: +``` +{"start":{"proof_type":"Disabled"},"extension_branch":null,"account":null,"storage":null,"values":[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],"keccak_data":[]} +``` + +For each `Node` exactly one of the `start`, `extension_branch`, `account`, and `storage` is set +in the following struct: + +``` +pub struct Node { + pub(crate) start: Option, + pub(crate) extension_branch: Option, + pub(crate) account: Option, + pub(crate) storage: Option, + /// MPT node values + pub values: Vec>, + pub keccak_data: Vec>, +} +``` + +The field `values` contains the RLP stream of a node split into rows and stripped off the +RLP encoding bytes (which are stored in `ExtensionBranchNode`, `AccountNode`, `StorageNode`). + +The field `keccak_data` contains the RLP streams for which we need hash values. + From de58c6d542d62ca6ffb346c044225e14cbd5ab00 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 12 Jun 2023 17:05:45 +0200 Subject: [PATCH 68/92] Working on MPT account leaf docs --- specs/mpt/account-leaf.md | 81 +++++++++++++++++++++++++++++---------- 1 file changed, 60 insertions(+), 21 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index eea505cd5..2285b67aa 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -13,7 +13,7 @@ And after the balance is modified: [248 101 156 58 168 111 115 58 191 32 139 53 139 168 184 7 8 29 109 70 164 7 116 82 56 174 242 193 51 253 77 184 70 248 68 4 23 160 86 232 31 23 27 204 85 166 255 131 69 230 146 192 248 110 91 72 224 27 153 108 173 192 1 98 47 181 227 99 180 33 160 197 210 70 1 134 247 35 60 146 126 125 178 220 199 3 192 229 0 182 83 202 130 39 59 123 250 216 4 93 133 164 112] ``` -The account leaf `Node` in the circuit looks: +In the circuit, the account leaf `Node` looks: ``` { "address":[204,228,98,4,186,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77], @@ -25,7 +25,8 @@ The account leaf `Node` in the circuit looks: "storage":null, "values":[ [157,52,45,53,199,120,18,165,14,109,22,4,141,198,233,128,219,44,247,218,241,231,2,206,125,246,58,246,15,3,0,0,0,0], - [156,58,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77,0,0,0,0,0],[4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], + [156,58,168,111,115,58,191,32,139,53,139,168,184,7,8,29,109,70,164,7,116,82,56,174,242,193,51,253,77,0,0,0,0,0], + [4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [134,85,156,208,108,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0], [160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,112,0], @@ -59,7 +60,63 @@ AccountDrifted AccountWrong ``` -## Old +We can reconstruct the `S` RLP stream if we start with `list_rlp_bytes[0]`, then append `AccountKeyS`, +`value_rlp_bytes[0]`, `list_rlp_bytes[0]`, `AccountNonceS`, `AccountBalanceS`, `AccountStorageS`, +and `AccountCodehashS`. + +## Constraints + +There is a [memory](`main.md`) mechanism that is used for `MainData`, `ParentData`, and `KeyData` - +the lookup table is being built dynamically and in each node there is a check whether the data has been updated +correctly. + +`MainData` contains the following fields: `proof_type`, `is_below_account`, `address_rlc`, `root_prev`, +and `root`. + +`is_below_account` constraint: +``` +main_data.is_below_account = false +``` + +Storage and codehash RLP constraints (the length of storage and codehash is always `32`): +``` +AccountStorageS RLP = 160 +AccountStorageC RLP = 160 +AccountCodehashS RLP = 160 +AccountCodehashC RLP = 160 +``` + +`KeyData` contains the following fields: `rlc`, `mult`, `num_nibbles`, `is_odd`, `drifted_rlc`, +`drifted_mult`, `drifted_num_nibbles`, and `drifted_is_odd`. + +Total number of the account address nibbles nees to be `64`. This is to prevent having short addresses +which could lead to a root node which would be shorter than `32` bytes and thus not hashed. That +means the trie could be manipulated to reach the desired root. The constraint below ensures that +the number of nibbles in the branches and extensions above the leaf (stored in `key_data.num_nibbles`) +together with the number of nibbles in the leaf is `64`: +``` +key_data.num_nibbles + num_nibbles = 64 +``` + +`ParentData` contains the following fields: `rlc`, `is_root`, `is_placeholder`, and `drifted_parent_rlc`. +The field `parent_data.rlc` contains the hash of a child. The constraint below checks that the hashed +value of the leaf RLC is `parent_data.rlc`: +``` +(1, leaf_rlc, rlp_key.rlp_list.num_bytes(), parent_data.rlc) in keccak_table +``` + + + +# Old + +Note: the constraints that are covered in the new documentation (above) has been removed from below. An account leaf occupies 8 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each @@ -211,12 +268,6 @@ that is parallel to the placeholder branch. Note that there is a similar constraint for the cases when the account leaf is in the first level, but here we do not fetch for the intermediate RLC from the branch above as there is no branch above. -#### Total number of address nibbles - -Total number of account address nibbles nees to be 64. This is to prevent having short addresses -which could lead to a root node which would be shorter than 32 bytes and thus not hashed. That -means the trie could be manipulated to reach a desired root. - ### Account leaf address RLC & nibbles count (after placeholder) This gate is again similar to the gate `Account leaf address RLC & nibbles count (leaf not in first level, branch not placeholder)`, but with a leaf being after a branch placeholder. @@ -656,18 +707,6 @@ We can see `s_main.rlp2 = 160` which specifies that the length of the following In `ACCOUNT_LEAF_STORAGE_CODEHASH_C` example row, there is `C` storage root stored in `s_main.bytes` and `C` codehash in `c_main.bytes`. Both these values are hash outputs. -### Account leaf storage codehash - -#### Account leaf storage codehash s_main.rlp2 = 160 - -`s_main.rlp2` stores the RLP length of the hash of storage root. The hash output length is 32 -and thus `s_main.rlp2` needs to be `160 = 128 + 32`. - -#### Account leaf storage codehash c_main.rlp2 = 160 - -`c_main.rlp2` stores the RLP length of the codehash. The hash output length is 32 -and thus `c_main.rlp2` needs to be `160 = 128 + 32`. - #### Storage root RLC `s_main.bytes` contain storage root hash, but to simplify lookups we need to have From 80044e6c07da9f1b9b6d739dcd112370a76d91ea Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 13 Jun 2023 16:52:32 +0200 Subject: [PATCH 69/92] Account leaf docs --- specs/mpt/account-leaf.md | 96 ++++++++++++++++++++++++++------------- 1 file changed, 64 insertions(+), 32 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 2285b67aa..21822262f 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -64,9 +64,34 @@ We can reconstruct the `S` RLP stream if we start with `list_rlp_bytes[0]`, then `value_rlp_bytes[0]`, `list_rlp_bytes[0]`, `AccountNonceS`, `AccountBalanceS`, `AccountStorageS`, and `AccountCodehashS`. +## Gadgets + +`AccountLeafConfig` uses the following gadgets: + +``` +rlp_key: [ListKeyGadget; 2], +is_in_empty_trie: [IsEmptyTreeGadget; 2], +drifted: DriftedGadget, +wrong: WrongGadget, +is_non_existing_account_proof: IsEqualGadget, +is_account_delete_mod: IsEqualGadget, +is_nonce_mod: IsEqualGadget, +is_balance_mod: IsEqualGadget, +is_storage_mod: IsEqualGadget, +is_codehash_mod: IsEqualGadget +``` + +### rlp_key + +`rlp_key` stores two `ListKeyGadgets` (one for `S` key, one for `C` key). +It can be used to access the information about the key (length, number of nibbles, key RLC, +RLC multiplier to be used after key, ...), but it also +stores the first RLP bytes of the account leaf (that are stored in `list_rlp_bytes`). + + ## Constraints -There is a [memory](`main.md`) mechanism that is used for `MainData`, `ParentData`, and `KeyData` - +There is a [memory](main.md) mechanism that is used for `MainData`, `ParentData`, and `KeyData` - the lookup table is being built dynamically and in each node there is a check whether the data has been updated correctly. @@ -105,6 +130,44 @@ value of the leaf RLC is `parent_data.rlc`: (1, leaf_rlc, rlp_key.rlp_list.num_bytes(), parent_data.rlc) in keccak_table ``` +The first RLP byte of the value has to be `184`. This is the RLP byte meaning that behind this byte +there is a string of length more than `55` and that only `1 = 184 - 183` byte is reserved +for the length (the second RLP byte). The string is always of length greater than `55` because it contains +the codehash (`32` bytes) and storage root (`32` bytes). Constraints: +``` +value_rlp_bytes[0][0] = 183 + 1 +value_rlp_bytes[1][0] = 183 + 1 +``` + +The value length is specified in `value_rlp_bytes[i][1]` and the length of the list containing in the +value is specified in `value_list_rlp_bytes[i][1]`. The difference is always `2` - the difference coming +from the two bytes: `value_list_rlp_bytes[i][0]` and `value_list_rlp_bytes[i][1]`. Constraints: +``` +value_rlp_bytes[0][1] = value_list_rlp_bytes[0][1] + 2 +value_rlp_bytes[1][1] = value_list_rlp_bytes[1][1] + 2 +``` + +The first RLP byte of the list is always `248 = 247 + 1` where `1` means there is `1` byte +used for storing the list length (in `value_list_rlp_bytes[i][1]`). Constraints: +``` +value_list_rlp_bytes[0][0] = 247 + 1 +value_list_rlp_bytes[1][0] = 247 + 1 +``` + +The list contains the nonce, the balance, the storage (`1 + 32`), and the codehash (`1 + 32`). The length +(`value_list_rlp_bytes[i][1]`) needs to reflect this: +``` +value_list_rlp_bytes[i][1] = nonce_items[i].num_bytes() + balance_items[i].num_bytes() + (2 * (1 + 32)) +``` + +The key length and the value list length have to match the account length. Constraints: +``` +config.rlp_key[0].rlp_list.len() => config.rlp_key[0].key_value.num_bytes() + value_list_num_bytes +config.rlp_key[1].rlp_list.len() => config.rlp_key[1].key_value.num_bytes() + value_list_num_bytes +``` +Note that here `config.rlp_key[i]` contains the key (and its RLP bytes), but also `list_rlp_bytes[i]`. +`rlp_key[i].rlp_list.len()` returns `list_rlp_bytes[i][1]` (`108` and `101` in the above example). + From 899efbeac8476b87a4554273bf7576a09dc841cd Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 19 Jun 2023 17:09:27 +0200 Subject: [PATCH 73/92] WrongGadget specs --- specs/mpt/account-leaf.md | 123 +++++++------------------------------- specs/mpt/gadgets.md | 73 ++++++++++++++++++---- 2 files changed, 81 insertions(+), 115 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 86c38870a..0330058c0 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -141,7 +141,28 @@ config.drifted = DriftedGadget::construct( ### wrong +The `AccountWrong` value has nonzero bytes only when there is an `AccountDoesNotExist` proof +and when there is a leaf returned by `getProof` which does not correspond to the actual enquired address. +[WrongGadget](gadgets.md) ensures there exists a leaf which has some +number of the starting nibbles the same as the enquired address (the path through branches +above the leaf), but at the same time the full address is not the same - the nibble that denotes the +position in the last branch (above the leaf) is the same, but the remaining nibbles stored in the leaf +differ. +When this particular `AccountDoesNotExist` proof subtype occurs, the `AccountWrong` holds the value +of the enquired address, while the wrong leaf address is stored in the `AccountKeyC` value. + +### Proof type gadgets + +The `IsEqualGadget` is used to check the type of the proof: +``` +is_non_existing_account_proof: IsEqualGadget, +is_account_delete_mod: IsEqualGadget, +is_nonce_mod: IsEqualGadget, +is_balance_mod: IsEqualGadget, +is_storage_mod: IsEqualGadget, +is_codehash_mod: IsEqualGadget +``` ## Constraints @@ -872,108 +893,6 @@ Note that `c_main.bytes` columns are not used. ## Account leaf non-existing-account constraints -The rows of the account leaf are the following: -``` -ACCOUNT_LEAF_KEY_S -ACCOUNT_LEAF_KEY_C -ACCOUNT_NON_EXISTING -ACCOUNT_LEAF_NONCE_BALANCE_S -ACCOUNT_LEAF_NONCE_BALANCE_C -ACCOUNT_LEAF_STORAGE_CODEHASH_S -ACCOUNT_LEAF_STORAGE_CODEHASH_C -ACCOUNT_DRIFTED_LEAF -``` - -The constraints in this file apply to ACCOUNT_NON_EXISTING. - -For example, the row might be: -``` -[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -``` - -We are proving that there is no account at the specified address. There are two versions of proof: - 1. A leaf is returned by getProof that is not at the required address (we call this a wrong leaf). - In this case, the `ACCOUNT_NON_EXISTING` row contains the nibbles of the address (the nibbles that remain - after the nibbles used for traversing through the branches are removed) that was enquired - while `ACCOUNT_LEAF_KEY` row contains the nibbles of the wrong leaf. We need to prove that - the difference is nonzero. This way we prove that there exists some account which has some - number of the starting nibbles the same as the enquired address (the path through branches - above the leaf), but at the same time the full address is not the same - the nibbles stored in a leaf differ. - 2. A branch is the last element of the getProof response and there is a nil object - at the address position. Placeholder account leaf is added in this case. - In this case, the `ACCOUNT_NON_EXISTING` row contains the same nibbles as `ACCOUNT_LEAF_KEY` and it is not needed. We just need to prove that the branch contains nil object (128) at the enquired address. - -The whole account leaf looks like: -``` -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] -[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] - -Lookups: -The `non_existing_account_proof` lookup is enabled in `ACCOUNT_NON_EXISTING` row. -``` - -For the example of non-existing account proof account leaf see below: - -``` -[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6] -[248 102 157 55 236 125 29 155 142 209 241 75 145 144 143 254 65 81 209 56 13 192 157 236 195 213 73 132 11 251 149 241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4] -[1 0 0 56 133 130 180 167 143 97 28 115 102 25 94 62 148 249 8 6 55 244 16 75 187 208 208 127 251 120 61 73 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18] -[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7] -[184 70 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 248 68 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8] -[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 9] -[0 160 112 158 181 221 162 20 124 79 184 25 162 13 167 162 146 25 237 242 59 120 184 154 118 137 92 181 187 152 115 82 223 48 0 160 7 190 1 231 231 32 111 227 30 206 233 26 215 93 173 166 90 214 186 67 58 230 71 161 185 51 4 105 247 198 103 124 0 11] -[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10] -``` - -In this case, the nibbles in the third row are different from the nibbles in the first or second row. Here, we are -proving that the account does not exist at the address which starts with the same nibbles as the leaf that is -in the rows above (except for the `ACCOUNT_NON_EXISTING` row) and continues with nibbles `ACCOUNT_NON_EXISTING` row. - -Note that the selector (being 1 in this case) at `s_main.rlp1` specifies whether it is wrong leaf or nil case. - -Lookups: -The `is_non_existing_account_proof` lookup is enabled in `ACCOUNT_NON_EXISTING` row. - -### Non existing account proof leaf address RLC (leaf not in first level, branch not placeholder) - -#### Account leaf key acc s_advice1 - -If there is an even number of nibbles stored in a leaf, `s_advice1` needs to be 32. - -#### Account address RLC - -Differently as for the other proofs, the account-non-existing proof compares `address_rlc` with the address -stored in `ACCOUNT_NON_EXISTING` row, not in `ACCOUNT_LEAF_KEY` row. - -The crucial thing is that we have a wrong leaf at the address (not exactly the same, just some starting -set of nibbles is the same) where we are proving there is no account. -If there would be an account at the specified address, it would be positioned in the branch where -the wrong account is positioned. Note that the position is determined by the starting set of nibbles. -Once we add the remaining nibbles to the starting ones, we need to obtain the enquired address. -There is a complementary constraint that makes sure the remaining nibbles are different for wrong leaf -and the non-existing account (in the case of wrong leaf, while the case with nil being in branch -is different). - -#### Wrong leaf sum check - -We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed -value is the same as the one stored in `accs.key.rlc` column. - -#### Wrong leaf sum_prev check - -We compute the RLC of the key bytes in the `ACCOUNT_NON_EXISTING` row. We check whether the computed -value is the same as the one stored in `accs.key.mult` column. - -#### Address of a leaf is different than address being inquired (corresponding to address_rlc) - -The address in the `ACCOUNT_LEAF_KEY` row and the address in the `ACCOUNT_NON_EXISTING` row -are indeed different. #### Nil object in parent branch diff --git a/specs/mpt/gadgets.md b/specs/mpt/gadgets.md index 0d7a5a268..1a2c007c6 100644 --- a/specs/mpt/gadgets.md +++ b/specs/mpt/gadgets.md @@ -243,19 +243,66 @@ computed using the drifted leaf key and the value RLC (`leaf_no_key_rlc`): ## WrongGadget -When `NonExistingAccountProof` or `NonExistingStorageProof` -proof type we can have two subtypes: with a wrong leaf and without a wrong leaf. -Without wrong leaf proof contains only branches and a placeholder leaf. -In this case, it is checked that there is nil in the parent branch -at the proper position. Note that we need an (placeholder) account -leaf for lookups and to know when to check that parent branch has a nil. - - +`WrongGadget` is used to prove that there is no leaf at the specified address (for an account leaf) +or key (for storage leaf). + +When proving there is no leaf, there are two proof types: + 1. A leaf is returned by `getProof` that is not at the required address (we call this a wrong leaf). + This happens when traversing through branches and there is a leaf in the last branch at the same nibble + as the nibble in the required address, but the following nibbles are different - adding a leaf at this + position would result in having a new branch with the old (wrong) leaf and the newly added. + 2. A branch is the last element of `getProof` response and there is a nil object + at the next nibble (placeholder leaf is added). + `WrongGadget` is not needed in this case. + We just need to prove that the branch contains nil object at the enquired address. + +`WrongGadget` constructor takes the following fields: +``` +pub(crate) fn construct( + cb: &mut MPTConstraintBuilder, + expected_address: Expression, + is_non_existing: Expression, + key_value: &RLPItemView, + key_rlc: &Expression, + wrong_item: &RLPItemView, + is_in_empty_tree: Expression, + key_data: KeyData, + r: &Expression, +) +``` + +### Constraints + +The `wrong_item` field holds the address / key (the nibbles that remain +after the nibbles used for traversing through the branches are removed) that was enquired. +The `expected_address` field contains the RLC of the address that was enquired. + +The value `key_rlc_wrong` is computed using `key_data.rlc` and `wrong_item`. +It needs to be the same as the required address: +``` +key_rlc_wrong = expected_address +``` + +The field `key_rlc` contains the key RLC of the (wrong) leaf that was returned by `getProof`. +It needs to be different than the expected address. For this reason, `IsEqualGadget is instantiated: +``` +config.is_key_equal = IsEqualGadget::construct( + &mut cb.base, + key_rlc.expr(), + expected_address, +); +``` + +And the constraint should ensure that the two addresses are different: +``` +config.is_key_equal = false +``` + +Finally, it needs to be ensured that the lengths of the wrong address and the enquired address +are the same: +``` +config.wrong_rlp_key.key_value.len() = key_value.len() +``` From 6d60fb3faf5697941bb34d71b85c4ff87f6192b7 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 26 Jun 2023 17:00:17 +0200 Subject: [PATCH 74/92] MPT state machine --- specs/mpt/{branch.md => extension_branch.md} | 0 specs/mpt/main.md | 64 ++++++++++++++------ 2 files changed, 47 insertions(+), 17 deletions(-) rename specs/mpt/{branch.md => extension_branch.md} (100%) diff --git a/specs/mpt/branch.md b/specs/mpt/extension_branch.md similarity index 100% rename from specs/mpt/branch.md rename to specs/mpt/extension_branch.md diff --git a/specs/mpt/main.md b/specs/mpt/main.md index 34d362ce7..55d7b9312 100644 --- a/specs/mpt/main.md +++ b/specs/mpt/main.md @@ -11,25 +11,25 @@ The circuit checks the transition from `val1` to `val2` at `key1` that led to th of trie root from `root1` to `root2`. Similarly, MPT circuit can prove that `nonce`, `balance`, or `codehash` has been changed at -a particular address. But also, the circuit can prove that at a particular address no account exists -(`NonExistingAccountProof`), that at particular storage key no value is stored `NonExistingStorageProof`, -or that at a particular address an account has been deleted. +a particular address. But also, the circuit can prove that at the particular address no account exists +(`AccountDoesNotExist` proof), that at the particular storage key no value is stored (`StorageDoesNotExist` proof), +or that at the particular address an account has been deleted. The circuit exposes a table which looks like: | Address | ProofType | Key | ValuePrev | Value | RootPrev | Root | | ------- | ----------------------- | ---- | ------------- | ------------ | --------- | ----- | -| $addr | NonceMod | 0 | $noncePrev | $nonceCur | $rootPrev | $root | -| $addr | BalanceMod | 0 | $balancePrev | $balanceCur | $rootPrev | $root | -| $addr | CodeHashMod | 0 | $codeHashPrev | $codeHashCur | $rootPrev | $root | -| $addr | NonExistingAccountProof | 0 | 0 | 0 | $root | $root | -| $addr | AccountDeleteMod | 0 | 0 | 0 | $rootPrev | $root | -| $addr | StorageMod | $key | $valuePrev | $value | $rootPrev | $root | -| $addr | NonExistingStorageProof | $key | 0 | 0 | $root | $root | - -Note that `StorageMod` proof also supports storage leaf creation and storage leaf deletion, -`NonceMod` also supports account leaf creation with nonce value and the rest of fields set to default, and -`BalanceMod` also supports account leaf creation with balance value and the rest of fields set to default. +| $addr | NonceChanged | 0 | $noncePrev | $nonceCur | $rootPrev | $root | +| $addr | BalanceChanged | 0 | $balancePrev | $balanceCur | $rootPrev | $root | +| $addr | CodeHashExists | 0 | $codeHashPrev | $codeHashCur | $rootPrev | $root | +| $addr | AccountDoesNotExist | 0 | 0 | 0 | $root | $root | +| $addr | AccountDestructed | 0 | 0 | 0 | $rootPrev | $root | +| $addr | StorageChanged | $key | $valuePrev | $value | $rootPrev | $root | +| $addr | StorageDoesNotExist | $key | 0 | 0 | $root | $root | + +Note that `StorageChanged` proof also supports storage leaf creation and storage leaf deletion, +`NonceChanged` also supports account leaf creation with nonce value and the rest of fields set to default, and +`BalanceChanged` also supports account leaf creation with balance value and the rest of fields set to default. The proof returned by `eth getProof` looks like: @@ -104,10 +104,40 @@ MPT circuit supports the following proofs: The constraints are grouped according to different trie node types: * Account leaf: [account-leaf.md](account-leaf.md) * Storage leaf: [storage-leaf.md](storage-leaf.md) - * Branch and extension node: [branch.md](branch.md) + * Branch and extension node: [branch.md](extension_branch.md) -Additionally, [there](rlp-gadget.md) is a RLP gadget for RLP constraints as all trie nodes are RLP -encoded. To ensure the initial state is set properly, there is the [start gadget](start.md). +There is a state machine `StateMachineConfig` that configures constraints for each of the nodes. +``` +pub struct StateMachineConfig { + is_start: Column, + is_branch: Column, + is_account: Column, + is_storage: Column, + + start_config: StartConfig, + branch_config: ExtensionBranchConfig, + storage_config: StorageLeafConfig, + account_config: AccountLeafConfig, +} +``` + +There are no explicitly written constraints to enforce which nodes can follow which nodes, but the proper sequence of nodes +is implicitly implied by constraints for the total number of nibbles and constraints for hash of the node being included in the +parent node. The only explicit constraint of this kind is in `account_leaf.rs` to prevent having two or more account leaves +in the same proof: +``` +config.main_data.is_below_account = false +``` +A possible attack would be to have two storage proofs one after another (if there is not the whole proof, the total number of +nibbles fails), but the probability is negligible as the second storage trie would need to hash to 0 as it would +be compared to the first storage leaf which stores the default values (`parent_data.rlc = 0`). + +The lookups to be executed by other circuits are enabled only in the account and storage rows. Even when there is no leaf returned +by `getProof` (for example for `AccountDestructed`), a placeholder leaf is added to the witness and the lookup is enabled +there (with all the constraints needed to ensure the leaf is only a placeholder). + +All nodes contain the array of RLP items (for example branch children for branch node) where the RLP encoding needs to be checked. +For this reason, there is a [RLP gadget](rlp-gadget.md). To ensure the initial state is set properly, there is the [start gadget](start.md). ## Proof chaining From 0dc89f38d9e9aca394b0282b602db86fb1ae607c Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 28 Jun 2023 16:26:28 +0200 Subject: [PATCH 75/92] Account leaf specs --- specs/mpt/account-leaf.md | 93 ++++++++++++++++++++++++++++++++++++++- 1 file changed, 91 insertions(+), 2 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 0330058c0..2b35b5442 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -237,12 +237,101 @@ value_list_rlp_bytes[i][1] = nonce_items[i].num_bytes() + balance_items[i].num_b The key length and the value list length have to match the account length. Constraints: ``` -config.rlp_key[0].rlp_list.len() => config.rlp_key[0].key_value.num_bytes() + value_list_num_bytes -config.rlp_key[1].rlp_list.len() => config.rlp_key[1].key_value.num_bytes() + value_list_num_bytes +config.rlp_key[0].rlp_list.len() = config.rlp_key[0].key_value.num_bytes() + value_list_num_bytes +config.rlp_key[1].rlp_list.len() = config.rlp_key[1].key_value.num_bytes() + value_list_num_bytes ``` Note that here `config.rlp_key[i]` contains the key (and its RLP bytes), but also `list_rlp_bytes[i]`. `rlp_key[i].rlp_list.len()` returns `list_rlp_bytes[i][1]` (`108` and `101` in the above example). +We then add a value to the dynamic lookup table that stores `key` data: +``` +KeyData::store_defaults(cb, &ctx.memory[key_memory(is_s)]); +``` +This sets the `key` data to `0` to be prepared for a storage proof (up until this point `key` +was used for the address). +When in the first storage proof node, the lookup will be executed to +ensure that the key RLC is `0` (the key RLC is updated in each trie level). + +We add a value to the dynamic lookup table that stores `parent` data: +``` +ParentData::store( + cb, + &ctx.memory[parent_memory(is_s)], + storage_rlc[is_s.idx()].expr(), + true.expr(), + false.expr(), + storage_rlc[is_s.idx()].expr(), +); +``` +When in the first storage proof node, the lookup will be executed to +ensure that the first storage proof node hash is the same as the parent `rlc` +(which stores the storage trie root hash). + +Finally, we add a value to the dynamic table that stores `main` data: +``` +MainData::store( + cb, + &ctx.memory[main_memory()], + [ + config.main_data.proof_type.expr(), + true.expr(), + is_non_existing_account.expr(), + key_rlc[true.idx()].expr(), + config.main_data.root_prev.expr(), + config.main_data.root.expr(), + ], +); +``` +Note the `true` value as the second parameter which results into `is_below_account = 1`. This is to +know that we are from now on in the storage proof (below account proof) and is used to prevent having +two account proofs in a row. + +When `config.is_account_delete_mod = true` we need to make sure there is no account at the given +address. +There are two possible cases: +- 1. Account leaf is deleted and there is a `nil` object in +branch. In this case we have a placeholder leaf. +- 2. Account leaf is deleted from a branch with two leaves, the remaining +leaf moves one level up and replaces the branch. In this case we +have a branch placeholder. + +Note that for the second case, the `drifted` gadget constraints ensure the proper transition. +TODO: update the names when updated in the circuit +``` +require!(or::expr([ + config.is_in_empty_trie[false.idx()].expr(), + config.parent_data[false.idx()].is_placeholder.expr() +]) => true); +``` + +When `config.is_account_delete_mod = false` we need to make sure there +is only one modification: +``` +ifx!{not!(config.is_nonce_mod) => { + require!(nonce_rlc[false.idx()] => nonce_rlc[true.idx()]); +}} +ifx!{not!(config.is_balance_mod) => { + require!(balance_rlc[false.idx()] => balance_rlc[true.idx()]); +}} +ifx!{not!(config.is_storage_mod) => { + require!(storage_rlc[false.idx()] => storage_rlc[true.idx()]); +}} +ifx!{not!(config.is_codehash_mod) => { + require!(codehash_rlc[false.idx()] => codehash_rlc[true.idx()]); +}} +``` + +For `AccountDoesNotExist` proof we need to ensure `S` and `C` proofs are the same — there is no +change in the trie and the same address is used: +``` +require!(config.main_data.root => config.main_data.root_prev); +require!(key_rlc[true.idx()] => key_rlc[false.idx()]); +``` + +Finally, the MPT table (for external lookups) is checked to contain the proper values. + + + + + +# Obsolete (to be updated) ## Zeros in s_main/c_main after substream ends From 76062ed2f147588099ee671c2f4140259a11682b Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 6 Dec 2023 11:09:23 +0100 Subject: [PATCH 85/92] Rewriting extension node docs --- specs/mpt/extension.md | 135 +++++++++++++++++++++----------------- specs/mpt/helpers.md | 7 ++ specs/mpt/storage_leaf.md | 30 +++++++++ 3 files changed, 112 insertions(+), 60 deletions(-) diff --git a/specs/mpt/extension.md b/specs/mpt/extension.md index 6dbe36edd..927b17c1c 100644 --- a/specs/mpt/extension.md +++ b/specs/mpt/extension.md @@ -1,49 +1,14 @@ # Extension node -`ExtensionGadget` computes the state (key RLC, key multiplier, number of nibbles) after the extension node nibbles. +## When is extension node added to the trie (and not a branch) -``` -pub(crate) struct ExtensionGadget { - rlp_key: ListKeyGadget, - is_not_hashed: LtGadget, - is_key_part_odd: Cell, - mult_key: Cell, - - // Post extension state - post_state: Option>, -} -``` - - - - -# Obsolete (to be updated) - -An extension node occupies 2 rows. Extension node is an extension to the branch and can be viewed -as a special kind of branch. The branch / extension node layout is as follows: - -``` -IS_INIT -IS_CHILD 0 -... -IS_CHILD 15 -IS_EXTENSION_NODE_S -IS_EXTENSION_NODE_C -``` - -Contrary as in the branch rows, the `S` and `C` extension nodes are not positioned parallel to each -other. We have extension node for `S` proof in `IS_EXTENSION_NODE_S` row and extension node for `C` proof -in `IS_EXTENSION_NODE_C` row. - -Let us observe the following example (similar to the on for -[account-leaf.md](account-leaf.md)). We are adding a new account `A1` to the trie. -Let us say that the account `A1` has the address +Let us say we add a new account `A1` to the trie. Let the account `A1` have the address (in nibbles): ``` [8, 15, 1, 8, 7, ...] ``` -And let us say there already exists an account `A` in the trie with the following nibbles: +Let us say there already exists an account `A` in the trie with the following nibbles: ``` [8, 15, 1, 8, 4, ...] ``` @@ -94,42 +59,92 @@ Extension node contains two parts: extension nibbles and hash of the underlying In our case, the extension node would contain `[1, 8]` and `Branch2` hash. Note that before `A1` has been added, `Node_1_15` was the hash of `A`. After `A1` was added, `Node_1_15` is the hash of the extension node. -## RLP encoding +## getProof -The RLP encoding of the extension node might look like as follows. -1. Having only one nibble in the extension: +The extension node returned by `getProof` contains the extension nibbles and the hash of the underlying branch. +An example extension node returned by `getProof` might be: ``` -[226,16,160,172,105,12... +[228 130 0 150 160 215 121 207 40 14 160 149 115 175 222 139 45 208 88 81 65 226 190 111 191 208 252 147 90 105 163 154 4 132 52 204 121] ``` -In this case `s_main.rlp2` denotes the nibble being `0 = 16 - 16`. `s_main.bytes[0]` denotes the length -of the following string (`32 = 160 - 128`). The string `[172,105,12,...]` is hash of the underlying -branch. -2. Having only one nibble and the branch being shorter than 32 bytes (being non-hashed): -``` -[223,16,221,198,132,32,0,0,0,1,198,132,32,0,0,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128] -``` -In this case `s_main.bytes[0]` marks the length of the non-hashed branch: `29 = 221 - 192`. +The first byte in this example (`228 = 192 + 36`) denotes the length (`36`) of the RLP stream (number of bytes behind the first byte). +The second byte (`130 = 128 + 2`) denotes the length of the bytes that contain the nibbles (`2`). +The third and fourth bytes are (compressed) nibbles. +The fifth byte (`160 = 128 + 32`) denotes the length of the hash of the underlying branch (`32`). +The remaning bytes represent the hash of the underlying branch. + +The compressed nibbles are `[0, 150]`. +The nibbles of this extension node are: `[9, 4]` (`150 = 9 * 16 + 4`). +When the number of nibbles is even, the first byte of the compressed nibbles is always `0`. +When the number of nibbles is odd, the first byte is `16` + the first nibble. + +For example, in `[226,16,160,172,105,12...` +we have only one nibble (`0`) and the compressed nibbles occupy only one byte (the second byte `16 = 16 + 0`). -Similar example but with more nibbles (note that if extension node contains up to 55 bytes, -`s_main.rlp1` will be up to `247 = 192 + 55`). +In +`[223,16,221,198,132,32,0,0,0,1,198,132,32,0,0,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128]` +we again have only one nibble, but the branch RLP stream is shorter than 32 bytes and is thus not hashed. +The third byte (`221 = 192 + 29`) denotes the length of the branch (`29). + +A similar example but with more nibbles is: ``` [247,160,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,213,128,194,32,1,128,194,32,1,128,128,128,128,128,128,128,128,128,128,128,128,128] ``` +Note that here the compressed nibbles are: `[16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]`, +thus all nibbles are `0`. -When the extension node contains more than 55 bytes: +When the extension node contains more than `55` bytes: ``` [248,58,159,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,217,128,196,130,32,0,1,128,196,130,32,0,1,128,128,128,128,128,128,128,128,128,128,128,128,128] ``` -In this case `s_main.rlp2` marks the length of the remaining stream, `s_main.bytes[0]` denotes the -length of the bytes that store nibbles: `31 = 159 - 128`. +In this case the second byte (`58`) denotes the length of the remaining stream. The third byte (`159 = 128 + 31`) denotes the +length of the bytes that store nibbles (`31`). -3. Having more than one nibble: -``` -[228,130,0,149,160,114,253,150,133,18,192,156,19,241,162,51,210,24,1,151,16,48,7,177,42,60,49,34,230,254,242,79,132,165,90,75,249] +## Witness + +Let us observe the following extension node: +``` +[228 130 0 150 160 215 121 207 40 14 160 149 115 175 222 139 45 208 88 81 65 226 190 111 191 208 252 147 90 105 163 154 4 132 52 204 121] +[228 130 0 150 160 208 13 115 5 131 97 180 161 37 184 30 176 46 254 113 83 244 235 231 202 172 66 172 99 25 151 249 73 32 160 1 218] +``` + +The witness prepared +``` +[130 0 150 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[160 215 121 207 40 14 160 149 115 175 222 139 45 208 88 81 65 226 190 111 191 208 252 147 90 105 163 154 4 132 52 204 121 0] +[0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] +[160 208 13 115 5 131 97 180 161 37 184 30 176 46 254 113 83 244 235 231 202 172 66 172 99 25 151 249 73 32 160 1 218 0] +``` + +The third row (`ExtensionBranchRowType::Nibbles`) contains the second nibbles of the key (the first row). +The range check `0 - 15` is applied on the third row (`ExtensionBranchRowType::Nibbles`) in `MainRLPGadget`. + + +TODO + +## ExtensionGadget + +`ExtensionGadget` (used in `ExtensionBranchConfig`) computes the state (key RLC, key multiplier, number of nibbles) +after the extension node nibbles. + +``` +pub(crate) struct ExtensionGadget { + rlp_key: ListKeyGadget, + is_not_hashed: LtGadget, + is_key_part_odd: Cell, + mult_key: Cell, + + // Post extension state + post_state: Option>, +} ``` -In this case `s_main.rlp2` marks the length of the bytes that store nibbles: `2 = 130 - 128`. -The actual nibbles are `[9, 5]` as `149 = 9 * 16 + 5`. + + + + +# Obsolete (to be updated) + + ## Extension node key constraints diff --git a/specs/mpt/helpers.md b/specs/mpt/helpers.md index b0d6d8060..ac0987621 100644 --- a/specs/mpt/helpers.md +++ b/specs/mpt/helpers.md @@ -85,6 +85,13 @@ Let's observe each of the `RLPItemView` fields: word: Option>>, --> +TODO + + +## Extension key RLC helper functions + + + # Obsolete (to be updated) diff --git a/specs/mpt/storage_leaf.md b/specs/mpt/storage_leaf.md index 1376cba52..8082fb064 100644 --- a/specs/mpt/storage_leaf.md +++ b/specs/mpt/storage_leaf.md @@ -1,5 +1,35 @@ # Storage leaf +An example of the storage leaf returned by `getProof` is: +``` +[226,160,59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68,1] +``` + +The first byte (`226 = 192 + 34`) represents the length of the RLP stream - meaning there are `34` bytes after the first byte. +The second byte `160 = 128 + 32`) represents the length of the RLP substream representing the key leaf - meaning there are `32` bytes after the +second byte that represent the key. +The last byte (`1`) is the leaf value - note that it does not have a RLP byte specifyng the length because it is only one byte. + +The substream represents +` +59,138,106,70,105,186,37,13,38,205,122,69,158,202,157,33,95,131,7,227,58,235,229,3,121,188,90,54,23,236,52,68, +` +represents the key. The key nibbles are: +``` +11 (59 - 48) +8 +10 (8 * 16 + 10 = 138) +6 +10 (6 * 16 + 10 = 106) +4 +6 (4 * 16 + 6 = 70) +... +``` + + + +# Obsolete + A storage leaf occupies 6 rows. Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each other. The rows are the following: From f1212ebddf31ed5178749ab7dd386b142a50b2ae Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 11 Dec 2023 11:24:08 +0100 Subject: [PATCH 86/92] ext_key_rlc_expr helper function --- specs/mpt/helpers.md | 133 +++++++++++++++++++++++++++++++++++++ specs/mpt/mod_extension.md | 2 +- 2 files changed, 134 insertions(+), 1 deletion(-) diff --git a/specs/mpt/helpers.md b/specs/mpt/helpers.md index ac0987621..73f030cab 100644 --- a/specs/mpt/helpers.md +++ b/specs/mpt/helpers.md @@ -90,6 +90,139 @@ TODO ## Extension key RLC helper functions +To ensure that the trie modification occurs at the right address/key, the path used to navigate through the trie needs to be somehow remembered by the circuit and it needs to be checked in the leaf. For this reason, the intermediate path is stored at each branch / extension node. The path is determined by the address / key nibbles and the circuit stores the intermediate RLC of the nibbles (actually of bytes) in each branch / extension node. + +Let us say we have a branch `B1` in the root of the trie, a branch `B2` at the position `2` in `B1`, a branch `B3` at the position `7` in `B2`, a branch `B4` at the position `4` in `B3`, finally we have a leaf `L` at the position `9` in `B4`: +``` +Child0 Child1 Child2: B2 ... Child15 + Child0 ... Child7: B3 ... Child15 + Child0 ... Child4: B4 ... Child15 + Child0 ... Child9: L ... Child15 +``` + +The intermediate path RLC are: +``` +RLC: 2 * 16 (first level) +RLC: 2 * 16 + 7 (second level) +RLC: (2 * 16 + 7) + 4 * 16 * r (third level) +RLC: (2 * 16 + 7) + (4 * 16 + 9) * r (fourth level) +``` + +Note that the nibbles are put into pairs to form bytes. + +When there is an extension node, we need to take into account also its extension nibbles. + +Let us say we have a branch `B1` in the root of the trie, a branch `B2` at the position `2` in `B1`, an extension node `E1` at the position `7` in `B2`, a branch `B4` at the position `4` in the underlying branch `B4` of `E1`, finally we have a leaf `L` at the position `9` in `B4`. +Let us say that the extension node `E1` has nibbles `8, 4, 11`. +``` +Child0 Child1 Child2: B2 ... Child15 + Child0 ... Child7: E1 ... Child15 + Child0 ... Child4: B4 ... Child15 + Child0 ... Child9: L ... Child15 +``` + +The intermediate path RLC are: +``` +RLC: 2 * 16 (first level) +RLC: (2 * 16 + 7) + (8 * 16 + 4) * r + 11 * 16 (second level) +RLC: (2 * 16 + 7) + (8 * 16 + 4) * r + (11 * 16 + 4) * r^2 (third level) +RLC: (2 * 16 + 7) + (8 * 16 + 4) * r + (11 * 16 + 4) * r^2 + 9 * 16 (fourth level) +``` + +The computation of the intermediate RLC in the extension node depends on the two parities: + * whether the number of the nibbles up to this level was odd or even + * whether the number of the extension nibbles is odd or even + +The second parity is important because it defined how the extension nibbles are compressed in the extension node RLP stream. + +For example, let us observe the following extension node: +``` +[228 130 0 150 160 215 121 207 40 14 160 149 115 175 222 139 45 208 88 81 65 226 190 111 191 208 252 147 90 105 163 154 4 132 52 204 121] +``` + +The second byte (`130 = 128 + 2`) denotes the length of the bytes that contain the nibbles (`2`). +The third and fourth bytes are (compressed) nibbles. +The compressed nibbles are `[0, 150]`. +The nibbles of this extension node are: `[9, 4]` (`150 = 9 * 16 + 4`). +When the number of nibbles is even, the first byte of the compressed nibbles is always `0`. + +When the number of nibbles is odd, the first byte is `16` + the first nibble. + +For example, in `[226,16,160,172,105,12...` +we have only one nibble (`0 = 16 - 16`) and the compressed nibbles occupy only one byte. + +To take into account these different scenarios, the function with the following signature has been provided: +``` +pub(crate) fn ext_key_rlc_expr( + cb: &mut MPTConstraintBuilder, + key_value: RLPItemView, + key_mult_prev: Expression, + is_key_part_odd: Expression, + is_key_odd: Expression, + data: [Vec>; 2], + r: &Expression, +) -> Expression +``` + +The function takes the following parameters: + * `key_value`: `RLPItemView` presenting the RLP item containing the compressed nibbles + * `key_mult_prev`: the randomness multiplier `r^k` to be used in the computation of the RLC + * `is_key_part_odd`: whether the number of the extension nibbles is odd + * `is_key_odd`: whether the number of the nibbles up to this level is odd + * `data`: bytes representing the compressed nibbles + * `r`: the randomness for the computation of the RLC + +The computation of the RLC is done depending on the two parities. + +### `is_key_odd = true & is_key_part_odd = false` + +Let us say we have nibbles `1, 7, 5` up to this level and we have nibbles `3, 2` in the extension. That means the nibbles in the extension node are compressed as `[0, 50 = 3 * 16 + 2]`. +The intermediate RLC is: +``` +RLC = (1 * 16 + 7) + (5 * 16 + 3) * r + 2 * 16 * r^2 +``` + +Note that to compute the RLC we need to know the nibbles `3, 2` separately (and not only the compressed value `50`) because they appear in different byte terms. For this reason, the MPT witness contains also the list of every second nibble (in this case the only second nibble is `2`). + +The function `ext_key_rlc_expr` gets the second nibbles from the witness and computes the first nibbles using the byte and second nibbles information. + +### `is_key_odd = false & is_key_part_odd = true` + +Let us say we have nibbles `1, 7` up to this level and we have nibbles `5, 3, 2` in the extension. That means the nibbles in the extension node are compressed as `[21 = 16 + 5, 50 = 3 * 16 + 2]`. +The intermediate RLC is: +``` +RLC = (1 * 16 + 7) + (5 * 16 + 3) * r + 2 * 16 * r^2 +` + +Note that we again need to know the nibbles `5, 3, 2` separately because they appear in different byte terms - `3` and `2` are compressed together in the witness, but the two appear in different byte terms in the computation of the RLC. + +### `is_key_odd = false & is_key_part_odd = false` + +Let us say we have nibbles `1, 7` up to this level and we have nibbles `5, 3` in the extension. That means the nibbles in the extension node are compressed as `[0, 50 = 3 * 16 + 2]`. +The intermediate RLC is: +``` +RLC = (1 * 16 + 7) + (5 * 16 + 3) * r +``` + +Note that the nibbles `5, 3` are compressed together in the witness and they appear in the same byte term in the RLC computation, so there is no need to use the second nibble from the witness. + +### `is_key_odd = true & is_key_part_odd = true` + +Let us say we have nibbles `1, 7, 5` up to this level and we have nibbles `4, 3, 2` in the extension. That means the nibbles in the extension node are compressed as `[20 = 16 + 4, 50 = 3 * 16 + 2]`. +The intermediate RLC is: +``` +RLC = (1 * 16 + 7) + (5 * 16 + 4) * r + (3 * 16 + 2) * r^2 +``` + +Note that there is again no need to use second nibbles. +We add the nibble that is compressed alone (`4 = 20 - 16`) to the term that has one nibble missing and we obtain `(5 * 16 + 4) * r`. + +The following nibbles (`5, 3`) are compressed together in the witness and they appear in the same byte terms in the RLC computation, so there is no need to use the second nibble from the witness. + +### `is_key_part_odd` only has one nibble + +In the case when `is_key_part_odd` only has one nibble, the computation of the RLC is simple (no computation of the first nibbles), it just needs to be taken into accout the parity of the number of nibbles up to this level. + diff --git a/specs/mpt/mod_extension.md b/specs/mpt/mod_extension.md index b6c3601a8..c86709d44 100644 --- a/specs/mpt/mod_extension.md +++ b/specs/mpt/mod_extension.md @@ -65,7 +65,7 @@ As mentioned above, additional witness data is added in the case of modified ext For example, if we have an extension node `E` with nibbles `1 2 3 4 5 6` and then a leaf `L` is added at the path `1 2 3 4 4`, a new extension node `E1` appears with nibbles `1 2 3 4`. The leaf `L` in in the underlying branch `B0` of `E1` at position `4`. At position `5` in `B0` we have the new extension node `E2` with one nibble `6`. -The witness for `E` (long extension node) contains the information about nibbles (the first row: `18 = 1 * 16 + 2, 54 = 3 * 16 + 4, 86 = 5 * 16 + 6`), about second nibbles (the second row: `2 4 6`), and the hash of the branch (the third row): +The witness for `E` (long extension node) contains the information about nibbles (the first row: `18 = 1 * 16 + 2, 54 = 3 * 16 + 4, 86 = 5 * 16 + 6`), about second nibbles (the second row: `2 4 6`), and the hash of the branch (the third row): ``` [132 0 18 52 86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] From 31ceb03ef19b71775d013266a8b7a4a89a1aea67 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 11 Dec 2023 11:28:59 +0100 Subject: [PATCH 87/92] formatting fix --- specs/mpt/helpers.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/specs/mpt/helpers.md b/specs/mpt/helpers.md index 73f030cab..8033d79ee 100644 --- a/specs/mpt/helpers.md +++ b/specs/mpt/helpers.md @@ -192,7 +192,7 @@ Let us say we have nibbles `1, 7` up to this level and we have nibbles `5, 3, 2` The intermediate RLC is: ``` RLC = (1 * 16 + 7) + (5 * 16 + 3) * r + 2 * 16 * r^2 -` +``` Note that we again need to know the nibbles `5, 3, 2` separately because they appear in different byte terms - `3` and `2` are compressed together in the witness, but the two appear in different byte terms in the computation of the RLC. From 1fc681c06b89895bf60c8f3c5003448e92198415 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Mon, 18 Dec 2023 11:37:09 +0100 Subject: [PATCH 88/92] Working on accout leaf docs --- specs/mpt/account-leaf.md | 308 ++++++++++++++++---------------------- 1 file changed, 131 insertions(+), 177 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 24b406bbc..e51bb30fe 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -1,5 +1,27 @@ # Account leaf +An account leaf stores the information about the account nonce, balance, codehash (smart contract code hash), and hash of the account's storage trie. + +In the trie, when an account is added two things can happen: + 1. There exists another account which has the same address to the some point as the one that + is being added, including the position of this account in the branch. + In this case a new branch is added to the trie. + The existing account drifts down one level to the new branch. The newly + added account also appears in this branch. For example, let us say that there exists an account `A` + with address nibbles `[3, 12, 3]` in the trie. Let's say three branches are above `A` and to navigate to the account leaf, we need to choose the positions `3, 12, 3` in the three branches. We then add the account `A1` with address nibbles `[3, 12, 5]` + to the trie. The branch will appear (at position `[3, 12]`) which will have `A` at position `3` + and `A1` at position `5`. This means there will be an additional branch in `C` proof (or in `S` + proof when the situation is reversed - we are deleting the leaf instead of adding). + For this reason the MPT circuit uses a placeholder branch for `S` proof (for `C` proof in reversed situation) + to preserve the circuit layout. + + 2. The branch where the new account is to be added has `nil` node at the position where the new account + is to be added. For example, let us have a branch at `[3, 12]`, we are adding a leaf with the + first three address nibbles being `[3, 12, 5]`, and the position `5` in our branch is not occupied. + In this case, the `getProof` response (before we add a leaf) does not end with a leaf, but with a branch. + To preserve the layout and to enable lookups, a placeholder account leaf is added in the `S` proof (in `C` proof in the delete scenario). + + An example account leaf RLP stream: -# Old - -Note: the constraints that are covered in the new documentation (above) has been removed from below. +## Gadgets -An account leaf occupies 8 rows. -Contrary as in the branch rows, the `S` and `C` leaves are not positioned parallel to each -other. The rows are as follows: +`AccountLeafConfig` uses the following [gadgets](gadgets.md): ``` -ACCOUNT_LEAF_KEY_S -ACCOUNT_LEAF_KEY_C -ACCOUNT_NON_EXISTING -ACCOUNT_LEAF_NONCE_BALANCE_S -ACCOUNT_LEAF_NONCE_BALANCE_C -ACCOUNT_LEAF_STORAGE_CODEHASH_S -ACCOUNT_LEAF_STORAGE_CODEHASH_C -ACCOUNT_DRIFTED_LEAF +rlp_key: [ListKeyGadget; 2], +is_in_empty_trie: [IsEmptyTreeGadget; 2], +drifted: DriftedGadget, +wrong: WrongGadget, +is_non_existing_account_proof: IsEqualGadget, +is_account_delete_mod: IsEqualGadget, +is_nonce_mod: IsEqualGadget, +is_balance_mod: IsEqualGadget, +is_storage_mod: IsEqualGadget, +is_codehash_mod: IsEqualGadget ``` -Example: +### rlp_key + +`rlp_key` stores two `ListKeyGadget` (one for `S` key, one for `C` key). +It can be used to access the information about the key (length, number of nibbles, key RLC, +RLC multiplier to be used after key, ...), but it also +stores the first RLP bytes of the account leaf (that are stored in `rlp_list_bytes`). + +``` +pub(crate) struct ListKeyGadget { + pub(crate) rlp_list_bytes: [Cell; 3], + pub(crate) rlp_list: RLPListGadget, + pub(crate) key_value: RLPItemView, + pub(crate) key: LeafKeyGadget, +} ``` -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] -[248,106,161,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +`ListKeyGadget` contains `RLPListGadget` (as `MainRLPGadget` does) because the account leaf +is always a list of RLP items (and `ListKeyGadget` does not contain only the key, but also +the first bytes of the account leaf). Thus, for example, `rlp_list` can be used to access the +number of bytes of the account leaf stream. -[0,0,0,32,252,237,52,8,133,130,180,167,143,97,28,115,102,25,94,62,148,249,8,6,55,244,16,75,187,208,208,127,251,120,61,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +### is_in_empty_trie -[184,70,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +The gadget [IsEmptyTreeGadget](gadgets.md) is used to check whether the trie is empty or there +is no leaf in the branch at the modified position - this is to avoid triggering the account leaf +constraints when there is no account leaf. -[184,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,68,128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] +### drifted -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +The gadget [DriftedGadget](gadgets.md) handles the leaf being moved from one branch to a newly created branch. +`AccountDrifted` value contains the key of the leaf that drifted to a new branch - it is the same as the key +before drifting, but with the first nibble (or nibbles if extension node) removed. -[0,160,86,232,31,23,27,204,85,166,255,131,69,230,146,192,248,110,91,72,224,27,153,108,173,192,1,98,47,181,227,99,180,33,0,160,197,210,70,1,134,247,35,60,146,126,125,178,220,199,3,192,229,0,182,83,202,130,39,59,123,250,216,4,93,133,164,122] +The gadget is constructed as follows: -[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] + * `key_rlc` contains the key RLC of the leaf before it drifted, this value needs to be checked in the + gadget to be the same as the key RLC of the leaf after it drifted (the nibble(s) moved from the leaf key + to the nibbles that mark the path to the leaf) + * `leaf_no_key_rlc` is the RLC of the leaf value (which does not change when the leaf drifts to a new + branch) + * `drifted_bytes` contains the `AccountDrifted` value. -Lookups: -We have nonce and balance in the same row - to enable lookups into the same columns (`value_prev`, `value`), -we enable nonce lookup in `ACCOUNT_LEAF_NONCE_BALANCE_S` row and balance lookup in `ACCOUNT_LEAF_NONCE_BALANCE_C` row. -This means we copy nonce C RLC to `ACCOUNT_LEAF_NONCE_BALANCE_S` row, -and balance S RLC to `ACCOUNT_LEAF_NONCE_BALANCE_C` row. -Constraints are added to ensure everything is properly copied. +``` +config.drifted = DriftedGadget::construct( + cb, + &config.parent_data, + &config.key_data, + &key_rlc, + &leaf_no_key_rlc, + &drifted_bytes, + &ctx.r, +); ``` -There are two main scenarios when an account is added to the trie: - 1. There exists another account which has the same address to the some point as the one that - is being added, including the position of this account in the branch. - In this case a new branch is added to the trie. - The existing account drifts down one level to the new branch. The newly - added account will also appear in this branch. For example, let us say that we have the account `A` - with nibbles `[3, 12, 3]` in the trie. We then add the account `A1` with nibbles `[3, 12, 5]` - to the trie. The branch will appear (at position `[3, 12]`) which will have `A` at position 3 - and `A1` at position 5. This means there will be an additional branch in `C` proof (or in `S` - proof when the situation is reversed - we are deleting the leaf instead of adding) and - for this reason we add a placeholder branch for `S` proof (for `C` proof in reversed situation) - to preserve the circuit layout (more details about this technicality are given below). - - 2. The branch where the new account is to be added has nil node at the position where the new account - is to be added. For example, let us have a branch at `[3, 12]`, we are adding a leaf with the - first three nibbles as `[3, 12, 5]`, and the position 5 in our branch is not occupied. - There does not exist an account which has the same address to the some point. - In this case, the `getProof` response does not end with a leaf, but with a branch. - To preserve the layout, a placeholder account leaf is added. - -In what follows we present the constraints for the account leaf. These are grouped into five -files: - * `account_leaf_key.rs` - * `account_leaf_nonce_balance.rs` - * `account_leaf_storage_codehash.rs` - * `account_leaf_key_in_added_branch.rs` - * `account_non_existing.rs` - -In the last section, we give an example of the nonce modification proof. +### wrong + +The `AccountWrong` value has nonzero bytes only when there is an `AccountDoesNotExist` proof +and when there is a leaf returned by `getProof` which does not correspond to the actual enquired address. +[WrongGadget](gadgets.md) ensures there exists a leaf which has some +number of the starting nibbles the same as the enquired address (the path through branches +above the leaf), but at the same time the full address is not the same - the nibble that denotes the +position in the last branch (above the leaf) is the same, but the remaining nibbles stored in the leaf +differ. + +When this particular `AccountDoesNotExist` proof subtype occurs, the `AccountWrong` holds the value +of the enquired address, while the wrong leaf address is stored in the `AccountKeyC` value. + +### Proof type gadgets + +The `IsEqualGadget` is used to check the type of the proof: +``` +is_non_existing_account_proof: IsEqualGadget, +is_account_delete_mod: IsEqualGadget, +is_nonce_mod: IsEqualGadget, +is_balance_mod: IsEqualGadget, +is_storage_mod: IsEqualGadget, +is_codehash_mod: IsEqualGadget +``` + +# Account leaf (obsolete) ## Account key constraints From 95b6e4d0262f8ea9f5c92587f89ee029ef6e6415 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Thu, 4 Jan 2024 11:12:33 +0100 Subject: [PATCH 89/92] IsPlaceholderLeafGadget docs; account leaf constraints --- specs/mpt/account-leaf.md | 112 ++++++++++++++++++++++++++++++++++---- specs/mpt/gadgets.md | 33 ++++++++++- 2 files changed, 132 insertions(+), 13 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index e51bb30fe..c6ea19dbf 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -97,6 +97,9 @@ It needs to be checked that the length of the stream is `29 = 157 - 128`. We can reconstruct the `S` RLP stream if we start with `list_rlp_bytes[0]`, then append `KeyS`, `value_rlp_bytes[0]`, `value_list_rlp_bytes[0]`, `NonceS`, `BalanceS`, `StorageS`, and `CodehashS`. +We can reconstruct the `C` RLP stream if we start with `list_rlp_bytes[1]`, then append `KeyC`, +`value_rlp_bytes[1]`, `value_list_rlp_bytes[1]`, `NonceC`, `BalanceC`, `StorageC`, and `CodehashC`. + ## Constraints There is a [memory](main.md) mechanism that is used for `MainData`, `ParentData`, and `KeyData` - @@ -106,11 +109,107 @@ correctly. `MainData` contains the following fields: `proof_type`, `is_below_account`, `address_rlc`, `root_prev`, and `root`. -`is_below_account` constraint: +### Constraint 1 + +Check with a lookup that the [memorized](main.md) values for `MainData` are correct: +``` +config.main_data = MainData::load(cb, &mut ctx.memory[main_memory()], 0.expr()); +``` + +Note that the key is used for a lookup (`0` in the case above means the current node) - the key is important because in different nodes there are different correct values. +In each node, the circuit checks whether `MainData` is set correctly and +stores it in the lookup table using `MainData::store` call. + +### Constraint 2 + +Do not allow an account node to follow another account node: ``` main_data.is_below_account = false ``` +Note that `is_below_account` is set to `false` in the start and storage leaf node (second parameter): +``` +MainData::store( + cb, + &mut ctx.memory[main_memory()], + [ + config.proof_type.expr(), + false.expr(), + 0.expr(), + root[true.idx()].lo().expr(), + root[true.idx()].hi().expr(), + root[false.idx()].lo().expr(), + root[false.idx()].hi().expr(), + ], +); +``` + +and is set to `true` in the account leaf node: +``` +MainData::store( + cb, + &mut ctx.memory[main_memory()], + [ + config.main_data.proof_type.expr(), + true.expr(), + address_item.word().lo() + + address_item.word().hi() * pow::value::(256.scalar(), 16), + config.main_data.new_root.lo().expr(), + config.main_data.new_root.hi().expr(), + config.main_data.old_root.lo().expr(), + config.main_data.old_root.hi().expr(), + ], +); +``` + +### Constraint 3 + +Check with a lookup that the [memorized](main.md) values for `S ParentData` are correct: +``` +parent_data[0] = ParentData::load(cb, &mut ctx.memory[parent_memory(true)], 0.expr()); +``` + +### Constraint 4 + +Check with a lookup that the [memorized](main.md) values for `C ParentData` are correct: +``` +parent_data[1] = ParentData::load(cb, &mut ctx.memory[parent_memory(false)], 0.expr()); +``` + +### Constraint 5 + +Check with a lookup that the [memorized](main.md) values for `S KeyData` are correct: +``` +key_data[0] = KeyData::load(cb, &mut ctx.memory[key_memory(true)], 0.expr()); +``` + +### Constraint 6 + +Check with a lookup that the [memorized](main.md) values for `C KeyData` are correct: +``` +key_data[1] = KeyData::load(cb, &mut ctx.memory[key_memory(false)], 0.expr()); +``` + +### Constraint 7 + +`IsEqualGadget` (using `IsZeroGadget`) to determine the proof type: +``` +config.is_non_existing_account_proof = IsEqualGadget::construct( + &mut cb.base, + config.main_data.proof_type.expr(), + MPTProofType::AccountDoesNotExist.expr(), +); +config.is_account_delete_mod = IsEqualGadget::construct( + &mut cb.base, + config.main_data.proof_type.expr(), + MPTProofType::AccountDestructed.expr(), +); +... +``` + + +### + Storage and codehash RLP constraints (the length of storage and codehash is always `32`): ``` AccountStorageS RLP = 160 @@ -356,17 +455,6 @@ differ. When this particular `AccountDoesNotExist` proof subtype occurs, the `AccountWrong` holds the value of the enquired address, while the wrong leaf address is stored in the `AccountKeyC` value. -### Proof type gadgets - -The `IsEqualGadget` is used to check the type of the proof: -``` -is_non_existing_account_proof: IsEqualGadget, -is_account_delete_mod: IsEqualGadget, -is_nonce_mod: IsEqualGadget, -is_balance_mod: IsEqualGadget, -is_storage_mod: IsEqualGadget, -is_codehash_mod: IsEqualGadget -``` # Account leaf (obsolete) diff --git a/specs/mpt/gadgets.md b/specs/mpt/gadgets.md index 67690d9ee..edac5f891 100644 --- a/specs/mpt/gadgets.md +++ b/specs/mpt/gadgets.md @@ -419,4 +419,35 @@ require!(rlp_key.rlp_list.len() => rlp_key.key_value.num_bytes() + rlp_value[is_ Above, the `rlp_key` is of type `ListKeyGadget` - it contains information about the leaf key. The `rlp_value` and `rlp_key.key_value` are of type `RLPItemView` - instantiated by -the call `rlp_item` (see above). \ No newline at end of file +the call `rlp_item` (see above). + +## IsPlaceholderLeafGadget + +`IsPlaceholderLeafGadget` is used to check whether the leaf is a placeholder. +The placeholder leaf is used in the following scenarios: + * When the leaf has been added to the position in branch where there was no leaf - in this case `S` proof contains a placeholder leaf. + * When the leaf has been deleted from the branch and there is at least one other leaf in the branch (otherwise the branch is deleted) - in this case `C` proof constains a placeholder leaf. + * For the non-existence proofs (however, some non-existence proofs have a leaf - wrong leaf, see `WrongGadget`). + +To determine whether the leaf is placeholder or not, the gadget checks +whether `ParentData hash` is a hash of an empty trie (when no leaf is in the trie): +``` +let is_empty_trie = IsEqualWordGadget::construct( + &mut cb.base, + &parent_word, + &Word::>::new([ + Expression::Constant(empty_hash.lo()), + Expression::Constant(empty_hash.hi()), + ]), +); +``` + +or whether `ParentData hash` is `nil`, meaning there is no leaf at the `modified_index` position in the parent branch: +``` +let is_nil_in_branch_at_mod_index = IsEqualWordGadget::construct( + &mut cb.base, + &parent_word, + &Word::>::new([0.expr(), 0.expr()]), +); +``` + From 8fd8bc83e6b9a11ceb609b4381aceb61d7c76254 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Tue, 30 Jan 2024 11:39:35 +0100 Subject: [PATCH 90/92] how to use MPT --- specs/mpt/account-leaf.md | 10 ++ specs/mpt/how-to-use.md | 206 ++++++++++++++++++++++++++++++++++++++ 2 files changed, 216 insertions(+) create mode 100644 specs/mpt/how-to-use.md diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index c6ea19dbf..00f89aec1 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -207,6 +207,16 @@ config.is_account_delete_mod = IsEqualGadget::construct( ... ``` +### Constraint 8 + +This and the following constraints are triggered only for the non modified extension node cases. The constraints for the non modified extension node cases are in `ModExtensionGadget`. + + +``` +config.is_placeholder_leaf[is_s.idx()] = + IsPlaceholderLeafGadget::construct(cb, parent_data[is_s.idx()].hash.expr()); +``` + ### diff --git a/specs/mpt/how-to-use.md b/specs/mpt/how-to-use.md new file mode 100644 index 000000000..3cb9093f9 --- /dev/null +++ b/specs/mpt/how-to-use.md @@ -0,0 +1,206 @@ +# How to use MPT circuit + +The client that wants to use the MPT circuit to ensure the modifications in the MPT have been done correctly, +needs first to obtain all the modifications (`trie_modifications`) in a block. + +The modifications are then transformed into the objects that MPT witness generator understands (see +mpt-witness-generator/rustlib/src/lib.rs): +``` +pub struct TrieModification { + pub typ: ProofType, + pub key: H256, + pub value: U256, + pub address: Address, + pub nonce: U64, + pub balance: U256, + pub code_hash: H256, +} +``` + +Having the trie modifications, the MPT witness generator can be queried to provide the MPT nodes - for each +modification `getProof` is called two times to obtain a proof before and after the modification. Each proof contains +a list of nodes - `get_witness` (see mpt-witness-generator/rustlib/src/lib.rs) returns the nodes for all proofs: +``` +let nodes = mpt_witness_generator::get_witness( + block_no.as_u64() - 1, + &trie_modifications, + provider, +); +``` + +The nodes returned by `get_witness` are then to be checked by the MPT circuit: +``` +let mpt_circuit = zkevm_circuits::mpt_circuit::MPTCircuit:: { + nodes: nodes, + keccak_data: keccak_data.clone(), + degree, + max_nodes, + disable_preimage_check, + _marker: std::marker::PhantomData, +}; +``` + +`MPTConfig` is assigned the values: +``` +mpt_config.assign(&mut layouter, &mpt_circuit.nodes, &challenges)?; +mpt_config.load_fixed_table(&mut layouter)?; +mpt_config.load_mult_table(&mut layouter, &challenges, mpt_circuit.max_nodes)?; + +mpt_config.keccak_table.dev_load( + &mut layouter, + &self.mpt_circuit.keccak_data, + &challenges, +)?; +``` + +The assignment is checked in the MPT circuit. +The final assignment step is to assign the MPT table (`mpt_table`) with `trie_modifications`. Below, +`stm` is one `TrieModification`: +``` +[ + (mpt_table.proof_type, stm.typ), + (mpt_table.address, stm.address), + (mpt_table.new_value.lo(), stm.value.lo()), + (mpt_table.new_value.hi(), stm.value.hi()), + (mpt_table.storage_key.lo(), stm.key.lo()), + (mpt_table.storage_key.hi(), stm.key.hi()), + (mpt_table.old_root.lo(), stm.old_root.lo()), + (mpt_table.old_root.hi(), stm.old_root.hi()), + (mpt_table.new_root.lo(), stm.new_root.lo()), + (mpt_table.new_root.hi(), stm.new_root.hi()) +] +.map(|(col, value)| + region.assign_advice( + || "", + col, + offset, + || Value::known(value), + ).unwrap() + ); +``` + +In the client circuit, we need to ensure that the roots are chained - the previous `old_root` is +the same as the current `new_root` in `mpt_table`. + +Finally, we can execute the lookups into `mpt_config.mpt_table`: +``` +meta.lookup_any("mpt_updates lookups into mpt_table", |meta| { + let is_not_padding = 1.expr() - is_padding.expr(); + + let lookups = vec![ + ( + meta.query_advice(mpt_table.proof_type, Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.proof_type, Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.address, Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.address, Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.new_value.lo(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.new_value.lo(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.new_value.hi(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.new_value.hi(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.storage_key.lo(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.storage_key.lo(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.storage_key.hi(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.storage_key.hi(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.old_root.lo(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.new_root.lo(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.old_root.hi(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.new_root.hi(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.new_root.lo(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.old_root.lo(), Rotation::cur()), + ), + ( + meta.query_advice(mpt_table.new_root.hi(), Rotation::cur()), + meta.query_advice(mpt_config.mpt_table.old_root.hi(), Rotation::cur()), + ), + ]; + + lookups + .into_iter() + .map(|(from, to)| (from * is_not_padding.clone(), to)) + .collect() +}); +``` + +## Caveats + +The modifications of the block are obtained by having a list of `address/storage_keys` of changes and by +querying the state in the previous and current block, for example: +``` +let old = client + .get_proof( + address, + storage_keys.clone(), + Some(BlockId::Number(BlockNumber::Number(block_no - 1))), + ) + .await?; + +let new = client + .get_proof( + address, + storage_keys.clone(), + Some(BlockId::Number(BlockNumber::Number(block_no))), + ) + .await?; +``` + +We ignore the modifications where nothing changes: +``` +if old.balance == new.balance + && old.nonce == new.nonce + && old.code_hash == new.code_hash + && old.storage_hash == new.storage_hash +{ + continue; +} +``` + +When the account is created implicitly, for example by nonce or balance modification, the codehash +is set to the default value. In some light client tests, there was a further call to set the codehash to the default +value, but it was unnecessary, so it can be omitted: +``` +let default_code_hash = "0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470"; +let is_default = new.code_hash == H256::from_str(default_code_hash).unwrap(); +if old.code_hash != new.code_hash && !is_default { + changed_values.push(TrieModification::codehash(address, new.code_hash)); +} +``` + +Note that this was causing constraint failure only because the light client requires that if there is +a modification of the root in the current row, it has to be in the next one too (if not padding) - and +there was no modification of the root in the codehash modification call because it was already set implicitly. + +The same constraint failed also in the case when the initial values has been proved first (the values in the +previous block). In this case the old block was queried with the address of the account that has been created +only in the new block, to avoid this failure, such modifications need to be ignored: +``` +let old = client + .get_proof( + address, + storage_keys.clone(), + Some(BlockId::Number(BlockNumber::Number(block_no - 1))), + ) + .await?; + +// Skip if the account doesn't exist in the old block. +if old.balance.is_zero() && old.code_hash.is_zero() + && old.nonce.is_zero() && old.storage_hash.is_zero() +{ + continue; +} +``` \ No newline at end of file From 14129c295e7e2e68e6dff84e91f00bcd47f55210 Mon Sep 17 00:00:00 2001 From: Miha Stopar Date: Wed, 7 Feb 2024 11:07:13 +0100 Subject: [PATCH 91/92] ListKeyGadget description --- specs/mpt/account-leaf.md | 12 ++++++++++-- specs/mpt/gadgets.md | 32 +++++++++++++++++++++++++------- 2 files changed, 35 insertions(+), 9 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 00f89aec1..08c5a27b2 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -209,14 +209,22 @@ config.is_account_delete_mod = IsEqualGadget::construct( ### Constraint 8 -This and the following constraints are triggered only for the non modified extension node cases. The constraints for the non modified extension node cases are in `ModExtensionGadget`. - +This and the following constraints are triggered only for the cases when there is no extension node with modified nibbles. +The constraints for the modified extension node cases are in `ModExtensionGadget`. +The constraint is used to check whether the leaf is a placeholder (the trie is empty or branch has a nil value +at the position at the account address): ``` config.is_placeholder_leaf[is_s.idx()] = IsPlaceholderLeafGadget::construct(cb, parent_data[is_s.idx()].hash.expr()); ``` +### Constraint 9 + +Check the leaf RLP and enable access to the functions like `rlc2`: +``` +*rlp_key = ListKeyGadget::construct(cb, &key_items[is_s.idx()]); +``` ### diff --git a/specs/mpt/gadgets.md b/specs/mpt/gadgets.md index edac5f891..dec7c5fbe 100644 --- a/specs/mpt/gadgets.md +++ b/specs/mpt/gadgets.md @@ -399,8 +399,25 @@ pub(crate) struct ListKeyGadget { } ``` -`ListKeyGadget` is used for the account leaf, storage leaf, and extension node. -In these cases, the RLP item is always a list (hence the name) +`ListKeyGadget` is used for the account leaf, storage leaf, and extension node - it is used to check the key part (without +leaf value). +In these cases, the RLP item is always a list (hence the name), because the RLP stream contains multiple elements: +the key and the value. However, note that the value part is not checked in this gadget, in fact `key_value` contains +the actual leaf key and it is checked by `key: LeafKeyGadget`. + +For example, the RLC of the whole leaf is computed by concatenating the RLC obtained from `ListKeyGadget` and the RLC of the +leaf value (see `account_leaf.rs`): +``` +// Calculate the key RLC +let rlp_key = &mut config.rlp_key[is_s.idx()]; +*rlp_key = ListKeyGadget::construct(cb, &key_items[is_s.idx()]); + +let leaf_rlc = rlp_key.rlc2(&cb.keccak_r).rlc_chain_rev(( + leaf_no_key_rlc[is_s.idx()].expr(), + leaf_no_key_rlc_mult[is_s.idx()].expr(), +)); +``` + The field `rlp_list_bytes` contains the bytes that specify the length of the (list) RLP item. For example, let us observe the storage leaf below. @@ -411,15 +428,16 @@ For example, let us observe the storage leaf below. The field `rlp_list_bytes` would be `[[226],[226]]`. Note that it contains the byte for each, `S` and `C` leaf. -For example, the following constraint ensures that the lengths in the RLP encoding are +For example, the following constraint (in `extension.rs`) ensures that the lengths in the RLP encoding are consistent: ``` -require!(rlp_key.rlp_list.len() => rlp_key.key_value.num_bytes() + rlp_value[is_s.idx()].num_bytes()); +require!(config.rlp_key.rlp_list.len() => config.rlp_key.key_value.num_bytes() + rlp_value[is_s.idx()].num_bytes()); ``` -Above, the `rlp_key` is of type `ListKeyGadget` - it contains information about the leaf -key. The `rlp_value` and `rlp_key.key_value` are of type `RLPItemView` - instantiated by -the call `rlp_item` (see above). +Above, the `config.rlp_key` is of type `ListKeyGadget` - it contains information about the leaf +key. The `config.rlp_key.key_value` and `rlp_value` are of type `RLPItemView` - instantiated by +the call `rlp_item` (see above). The constraint checks whether the length of the key RLP stream (the whole length obtained from +the `ListKeyGadget`) is the sum of the length of the key and the length of the value. ## IsPlaceholderLeafGadget From 3deb4b5a248e76fcda503807fbd70b3ce30d0e79 Mon Sep 17 00:00:00 2001 From: miha-stopar Date: Mon, 29 Apr 2024 12:06:26 +0200 Subject: [PATCH 92/92] MPT mod extension gadget --- specs/mpt/account-leaf.md | 32 ++++++++++++++ specs/mpt/mod_extension.md | 89 ++++++++++++++++++++++++++++++++++++-- 2 files changed, 117 insertions(+), 4 deletions(-) diff --git a/specs/mpt/account-leaf.md b/specs/mpt/account-leaf.md index 08c5a27b2..c265183b6 100644 --- a/specs/mpt/account-leaf.md +++ b/specs/mpt/account-leaf.md @@ -90,6 +90,8 @@ Address, // account address Key, // hashed account address ``` +Note that `Address` and `Key` are added in the method `load_proof` in `mpt_circuit.rs`. + Each of the `values` is checked by [MainRLPGadget](gadgets.md) to ensure that the RLP bytes correspond to the RLP stream length. For example, the first value of the `values` above is `[157,52,45,53,...]`. It needs to be checked that the length of the stream is `29 = 157 - 128`. @@ -226,6 +228,36 @@ Check the leaf RLP and enable access to the functions like `rlc2`: *rlp_key = ListKeyGadget::construct(cb, &key_items[is_s.idx()]); ``` +### Constraint 10: + +The total number of nibbles needs to be `KEY_LEN_IN_NIBBLES = 64`. +To get all the nibbles we need to take the nibbles that are used for navigating +through the branches / extension nodes (stored in `key_data`) and nibbles stored +in the leaf. + +``` +let num_nibbles = + num_nibbles::expr(rlp_key.key_value.len(), key_data[is_s.idx()].is_odd.expr()); +require!(key_data[is_s.idx()].num_nibbles.expr() + num_nibbles.expr() => KEY_LEN_IN_NIBBLES); +``` + +### Constraint 11 + +This constraint is enabled only for the non-placeholder leaf. + +Check that the hash of all bytes of the account leaf is in the parent. + +``` +let hash = parent_data[is_s.idx()].hash.expr(); +require!((1.expr(), leaf_rlc, rlp_key.rlp_list.num_bytes(), hash.lo(), hash.hi()) =>> @KECCAK); +``` + +Note that `hash` is the hash of the modified branch child in the parent branch. +If the account leaf is in the first level (no branch above it), the variable `hash` obtained +from `parent_data` contains the hash of the trie. + + + ### Storage and codehash RLP constraints (the length of storage and codehash is always `32`): diff --git a/specs/mpt/mod_extension.md b/specs/mpt/mod_extension.md index c86709d44..679287aae 100644 --- a/specs/mpt/mod_extension.md +++ b/specs/mpt/mod_extension.md @@ -60,12 +60,65 @@ For this reason, `E2` is added after the leaf and is named `short` extension nod ## Witness -As mentioned above, additional witness data is added in the case of modified extension node after the leaf node. +The witness data is added in the rows of the leaf node. It would +more naturally fit into the extension node / branch rows, but that +would increase the number of rows for the proof significantly (there is only one leaf in the proof while in general there are multiple branches). + +The modified extension node witness is stored in the following +rows of either storage or account leaf: `LongExtNodeKey`, `LongExtNodeNibbles`, `LongExtNodeValue`, `ShortExtNodeKey`, +`ShortExtNodeNibbles`, and `ShortExtNodeValue`: + +``` +pub(crate) enum StorageRowType { + KeyS, + ValueS, + KeyC, + ValueC, + Drifted, + Wrong, + LongExtNodeKey, + LongExtNodeNibbles, + LongExtNodeValue, + ShortExtNodeKey, + ShortExtNodeNibbles, + ShortExtNodeValue, + Address, + Key, + Count, +} + +pub(crate) enum AccountRowType { + KeyS, + KeyC, + NonceS, + BalanceS, + StorageS, + CodehashS, + NonceC, + BalanceC, + StorageC, + CodehashC, + Drifted, + Wrong, + LongExtNodeKey, // only used when extension node nibbles are modified + LongExtNodeNibbles, // only used when extension node nibbles are modified + LongExtNodeValue, // only used when extension node nibbles are modified + ShortExtNodeKey, // only used when extension node nibbles are modified + ShortExtNodeNibbles, // only used when extension node nibbles are modified + ShortExtNodeValue, // only used when extension node nibbles are modified + Address, // account address + Key, // hashed account address + Count, +} +``` + +Note that these rows are used only in the case of the modified +extension node. For example, if we have an extension node `E` with nibbles `1 2 3 4 5 6` and -then a leaf `L` is added at the path `1 2 3 4 4`, a new extension node `E1` appears with nibbles `1 2 3 4`. The leaf `L` in in the underlying branch `B0` of `E1` at position `4`. At position `5` in `B0` we have the new extension node `E2` with one nibble `6`. +then a leaf `L` is added at the path `1 2 3 4 4`, a new extension node `E1` appears with nibbles `1 2 3 4`. The leaf `L` is in the underlying branch `B0` of `E1` at position `4`. At position `5` in `B0` we have the new extension node `E2` with one nibble `6`. -The witness for `E` (long extension node) contains the information about nibbles (the first row: `18 = 1 * 16 + 2, 54 = 3 * 16 + 4, 86 = 5 * 16 + 6`), about second nibbles (the second row: `2 4 6`), and the hash of the branch (the third row): +The witness for `E` (long extension node) contains the information about nibbles (`LongExtNodeKey` row: `18 = 1 * 16 + 2, 54 = 3 * 16 + 4, 86 = 5 * 16 + 6`), about second nibbles (`LongExtNodeNibbles`: `2 4 6`), and the hash of the branch (`LongExtNodeValue`): ``` [132 0 18 52 86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] @@ -73,7 +126,7 @@ The witness for `E` (long extension node) contains the information about nibbles [160 242 103 96 237 221 251 248 185 13 94 94 110 182 111 241 65 198 200 217 40 21 99 86 252 13 220 217 104 115 173 242 92 0] ``` -The witness for `E2` (short extension node) contains the information about nibbles (the first row: `22 = 16 + 6`), about second nibbles (the second row, but there are no second nibbles in this case), and the hash of the branch (the third row): +The witness for `E2` (short extension node) contains the information about nibbles (`ShortExtNodeKey`: `22 = 16 + 6`), about second nibbles (`ShortExtNodeNibbles`, however, there are no second nibbles in this case), and the hash of the branch (`ShortExtNodeValue`): ``` [22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] @@ -83,6 +136,34 @@ The witness for `E2` (short extension node) contains the information about nibbl ## Constraints +The gadget `ModExtensionGadget` is instantiated in either storage or account leaf: + +``` +ifx! {or::expr(&[config.is_mod_extension[0].clone(), config.is_mod_extension[1].clone()]) => { + config.mod_extension = ModExtensionGadget::configure( + meta, + cb, + ctx.clone(), + parent_data, + key_data, + ); +}}; +``` + +Note that some constraints of the leaf are ignored in the case of the modified extension node. +These are the constraints for the leaf that is included only as a placeholder leaf in the case of the modified extension node - +for one of the two proofs (`S` or `C`) the last element returned by `getProof` returns the extension node. +The witness generator then adds a placeholder leaf to the end of the proof to maintain the layout, but the constraints are not needed for this one, see the following code in `account_leaf` and `storage_leaf`: + +``` +for is_s in [true, false] { + // ifx! {not!(config.is_mod_extension[is_s.idx()].expr()) => { + ... + } +} +``` + + It needs to be checked that the long extension node is in the parent branch (branch above placeholder branch) in the `S` proof (or in `C` proof in case of deletion). Also, it needs to be checked that the short extension node is in the branch of the newly

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