fix(pr-3646): 2 Copilot P1 threads — TOC + Round 45 overstatement caveats

[AceHack]

Summary

Addresses 2 unresolved P1 Copilot threads on now-merged PR #3646:

Thread 1 — TOC + current-summary navigation stale. Moving Round 45 to the top in #3646 didn't update the surrounding scaffolding:

• Contents block (line 15) still started with Round 44 → added Round 45 entry above
• Descriptive note (line 44) still said "Round 44 (current) is in-flight" → reworded to preserve both labels: "Round 45 is the most recent landed round; Round 44 remains in-flight per its own label..."

Thread 2 — Round 45 narrative overstates Step 1 result. The historical entry was written from PR #3614's original framing, before PR #3636 + PR #3639 established that:

1. Original M/A coherence laws aren't well-typed under stated signatures
2. Only provisional propositional Law 1' is type-correct
3. Laws 2/3 deferred to a new Step 1.5
4. D ∘ Q ∘ I is the incrementalization identity, not a monad (per PR #3626)

Three sites in the Round 45 narrative reworded:

• Line 87 (coherence-satisfied overstatement) → "is intended to satisfy" + full caveat paragraph linking PRs fix(b-0544): M/A coherence-laws type-correctness — Codex P1 from PR #3614 #3636 + fix(pr-3636): 3 Copilot P1 threads — closure-operator precision + last_updated bump #3639
• Lines 89 + 91 (D∘Q∘I monad + monad-laws claims) → incrementalization-identity framing matching PR fix(pr-3614): 5 unresolved P1 threads — monad-associativity terminology + dead xrefs #3626 corrections elsewhere
• Line 131 (Arc 5 open question — "DBSP incrementalization monad") → "DBSP I/D pair... incrementalization identity, not a monad"

The Round 45 historical entry now matches the post-PR-3636 + post-PR-3639 substrate-honest state on main.

Files changed

docs/ROUND-HISTORY.md  +26/-7

Test plan

• Pre/post-commit ls-tree canary: 53/53 root (Lior active, no corruption)
• Local markdownlint-cli2 passes
• TOC verification: Round 45 entry now at top of Contents block
• Current-summary verification: reflects Round 45 + preserves Round 44 in-flight label
• CI green (docs-only)

🤖 Generated with Claude Code

[Copilot]

Pull request overview

Updates docs/ROUND-HISTORY.md to resolve two follow-up documentation threads from prior merged work: (1) fix stale navigation scaffolding after moving Round 45 to the top, and (2) make the Round 45 narrative substrate-honest by aligning the Step 1 / coherence-laws discussion with the post-PR-3636 / PR-3639 corrections (and the PR-3626 clarification that Q^Δ = D ∘ Q ∘ I is an incrementalization identity, not a monad).

Changes:

• Adds a Round 45 entry to the Contents block and updates the “current round” note to reflect Round 45 landed while Round 44 remains in-flight.
• Rewords Round 45’s Step 1 section to downgrade the M/A coherence-laws claim to “intended to satisfy,” and adds an explicit caveat pointing to PR #3636 / #3639 outcomes.
• Reframes D ∘ Q ∘ I references to the incrementalization identity (not a monad) and updates the Arc 5 open question accordingly.

Comments suppressed due to low confidence (1)

docs/ROUND-HISTORY.md:151

• P2: This list item runs together the question and the "Possible structural relations" follow-up on the same wrapped line, which makes the bullet hard to scan in rendered Markdown. Consider breaking after the question mark and moving the follow-up sentence to its own indented continuation line (and reflowing the line lengths).

- What is the precise relationship between the memory monad `M` (a monad on
  the topos `Zeta`) and the DBSP `I`/`D` pair (the integrate/differentiate
  operators participating in the incrementalization *identity* `Q^Δ = D ∘ Q ∘ I`,
  not a monad — per [PR #3626](https://github.com/Lucent-Financial-Group/Zeta/pull/3626))? Possible structural relations: comonad-monad
  adjunction, distributive law, or no direct categorical correspondence.