diff --git a/include/triton/Dialect/Triton/IR/Traits.h b/include/triton/Dialect/Triton/IR/Traits.h
index 804b1648e943..dbbf876cb513 100644
--- a/include/triton/Dialect/Triton/IR/Traits.h
+++ b/include/triton/Dialect/Triton/IR/Traits.h
@@ -3,6 +3,7 @@
 
 #include "mlir/IR/BuiltinTypes.h"
 #include "mlir/IR/OpDefinition.h"
+#include "mlir/Interfaces/InferTypeOpInterface.h"
 #include "mlir/Support/LogicalResult.h"
 #include "triton/Dialect/Triton/IR/Types.h"
 
@@ -27,7 +28,7 @@ LogicalResult verifyTensorLayouts(Operation *op);
 
 LogicalResult verifySameOperandsEncoding(Operation *op,
                                          bool allowTensorPointerType = false);
-
+LogicalResult verifyEquivalentType(Type typeA, Type typeB);
 LogicalResult
 verifySameOperandsAndResultEncoding(Operation *op,
                                     bool allowTensorPointerType = false);
diff --git a/include/triton/Dialect/Triton/IR/TritonInterfaces.td b/include/triton/Dialect/Triton/IR/TritonInterfaces.td
index f51cca0bc254..a9188cbf638d 100644
--- a/include/triton/Dialect/Triton/IR/TritonInterfaces.td
+++ b/include/triton/Dialect/Triton/IR/TritonInterfaces.td
@@ -2,6 +2,7 @@
 #define TRITON_INTERFACES
 
 include "mlir/IR/OpBase.td"
+include "mlir/Interfaces/InferTypeOpInterface.td"
 
 def TensorSizeTrait : NativeOpTrait<"TensorSizeTrait">;
 def VerifyTensorLayoutsTrait : NativeOpTrait<"VerifyTensorLayoutsTrait">;
@@ -13,4 +14,17 @@ def SameLoadStoreOperandsAndResultShape : NativeOpTrait<"SameLoadStoreOperandsAn
 def SameLoadStoreOperandsEncoding : NativeOpTrait<"SameLoadStoreOperandsEncoding">;
 def SameLoadStoreOperandsAndResultEncoding : NativeOpTrait<"SameLoadStoreOperandsAndResultEncoding">;
 
+// A trait equivalent to InferTypeOpAdaptor, but that checks for structural
+// equivalence of the layouts of the result rather than just layout equality.
+def InferTypeOpWithLayoutEquivalence : InferTypeOpAdaptorBase<[{
+  static bool isCompatibleReturnTypes(TypeRange lhs, TypeRange rhs) {
+    if (lhs.size() != rhs.size())
+      return false;
+    return llvm::all_of(llvm::zip(lhs, rhs), [](auto tup) {
+      auto [lhs, rhs] = tup;
+      return succeeded(OpTrait::impl::verifyEquivalentType(lhs, rhs));
+    });
+  }
+}]>;
+
 #endif // TRITON_INTERFACES
diff --git a/include/triton/Dialect/Triton/IR/TritonOps.td b/include/triton/Dialect/Triton/IR/TritonOps.td
index f18bf9fe3893..0262d8507b54 100644
--- a/include/triton/Dialect/Triton/IR/TritonOps.td
+++ b/include/triton/Dialect/Triton/IR/TritonOps.td
@@ -539,7 +539,7 @@ def TT_SplitOp : TT_Op<"split", [
 
 def TT_TransOp : TT_Op<"trans", [Pure,
                                  TransposeOpInterface,
-                                 InferTypeOpAdaptorWithIsCompatible,
+                                 InferTypeOpWithLayoutEquivalence,
                                  SameOperandsAndResultElementType]> {
 
     let summary = "rearrange the dimensions of a tensor";
diff --git a/lib/Dialect/Triton/IR/Ops.cpp b/lib/Dialect/Triton/IR/Ops.cpp
index 7c17ed2decd1..c4812e9f2630 100644
--- a/lib/Dialect/Triton/IR/Ops.cpp
+++ b/lib/Dialect/Triton/IR/Ops.cpp
@@ -235,26 +235,6 @@ LogicalResult TransOp::inferReturnTypes(
   return success();
 }
 
-bool TransOp::isCompatibleReturnTypes(TypeRange lhs, TypeRange rhs) {
-  assert(lhs.size() == rhs.size());
-  assert(lhs.size() == 1);
-  auto lhsType = cast<RankedTensorType>(lhs[0]);
-  auto rhsType = cast<RankedTensorType>(rhs[0]);
-
-  if (lhsType.getShape() != rhsType.getShape())
-    return false;
-
-  auto lhsEnc = lhsType.getEncoding();
-  auto rhsEnc = rhsType.getEncoding();
-  // If there's no encoding or the encodings are the same
-  if (lhsEnc == rhsEnc)
-    return true;
-
-  return cast<DialectInferLayoutInterface>(&lhsEnc.getDialect())
-      ->verifyLayoutsAreEqual(lhsType.getShape(), lhsEnc, rhsEnc, {})
-      .succeeded();
-}
-
 //-- DotOp --
 LogicalResult
 DotOp::inferReturnTypes(MLIRContext *context, std::optional<Location> location,
diff --git a/lib/Dialect/Triton/IR/Traits.cpp b/lib/Dialect/Triton/IR/Traits.cpp
index 690826f4efaf..a38e37bb0734 100644
--- a/lib/Dialect/Triton/IR/Traits.cpp
+++ b/lib/Dialect/Triton/IR/Traits.cpp
@@ -3,12 +3,33 @@
 #include <numeric>
 
 #include "mlir/IR/TypeUtilities.h"
+#include "triton/Dialect/Triton/IR/Dialect.h"
 #include "triton/Dialect/Triton/IR/Types.h"
 #include "triton/Dialect/Triton/IR/Utility.h"
 #include "llvm/Support/ErrorHandling.h"
 
 using namespace mlir;
 
+LogicalResult OpTrait::impl::verifyEquivalentType(Type typeA, Type typeB) {
+  auto tensorTypeA = dyn_cast<RankedTensorType>(typeA);
+  auto tensorTypeB = dyn_cast<RankedTensorType>(typeB);
+  if (!(bool(tensorTypeA) && bool(tensorTypeB)))
+    return typeA == typeB ? success() : failure();
+  auto encodingA = tensorTypeA.getEncoding();
+  auto encodingB = tensorTypeB.getEncoding();
+  auto shapeA = tensorTypeA.getShape();
+  auto shapeB = tensorTypeB.getShape();
+  if (shapeA != shapeB)
+    return failure();
+
+  // If there's no encoding or the encodings are the same
+  if (encodingA == encodingB)
+    return success();
+
+  return cast<triton::DialectInferLayoutInterface>(&encodingA.getDialect())
+      ->verifyLayoutsAreEqual(shapeA, encodingA, encodingB, {});
+}
+
 static LogicalResult verifySameEncoding(Type typeA, Type typeB,
                                         bool allowTensorPointerType) {
   // TODO(Keren): the allowTensorPointerType argument is a hack to allow.