diff --git a/mlir/include/mlir/Transforms/RegionUtils.h b/mlir/include/mlir/Transforms/RegionUtils.h
index 192ff71384059..f65d0d44eef42 100644
--- a/mlir/include/mlir/Transforms/RegionUtils.h
+++ b/mlir/include/mlir/Transforms/RegionUtils.h
@@ -87,8 +87,9 @@ LogicalResult eraseUnreachableBlocks(RewriterBase &rewriter,
 LogicalResult runRegionDCE(RewriterBase &rewriter,
                            MutableArrayRef<Region> regions);
 
-/// Get a topologically sorted list of blocks of the given region.
-SetVector<Block *> getTopologicallySortedBlocks(Region &region);
+/// Get a list of blocks that is sorted according to dominance. This sort is
+/// stable.
+SetVector<Block *> getBlocksSortedByDominance(Region &region);
 
 } // namespace mlir
 
diff --git a/mlir/lib/Target/LLVMIR/Dialect/OpenACC/OpenACCToLLVMIRTranslation.cpp b/mlir/lib/Target/LLVMIR/Dialect/OpenACC/OpenACCToLLVMIRTranslation.cpp
index b964d1c082b20..eeda245ce969f 100644
--- a/mlir/lib/Target/LLVMIR/Dialect/OpenACC/OpenACCToLLVMIRTranslation.cpp
+++ b/mlir/lib/Target/LLVMIR/Dialect/OpenACC/OpenACCToLLVMIRTranslation.cpp
@@ -392,7 +392,7 @@ static LogicalResult convertDataOp(acc::DataOp &op,
   llvm::BasicBlock *endDataBlock = llvm::BasicBlock::Create(
       ctx, "acc.end_data", builder.GetInsertBlock()->getParent());
 
-  SetVector<Block *> blocks = getTopologicallySortedBlocks(op.getRegion());
+  SetVector<Block *> blocks = getBlocksSortedByDominance(op.getRegion());
   for (Block *bb : blocks) {
     llvm::BasicBlock *llvmBB = moduleTranslation.lookupBlock(bb);
     if (bb->isEntryBlock()) {
diff --git a/mlir/lib/Target/LLVMIR/Dialect/OpenMP/OpenMPToLLVMIRTranslation.cpp b/mlir/lib/Target/LLVMIR/Dialect/OpenMP/OpenMPToLLVMIRTranslation.cpp
index a7294632d6667..aa3c516b0c5d6 100644
--- a/mlir/lib/Target/LLVMIR/Dialect/OpenMP/OpenMPToLLVMIRTranslation.cpp
+++ b/mlir/lib/Target/LLVMIR/Dialect/OpenMP/OpenMPToLLVMIRTranslation.cpp
@@ -198,7 +198,7 @@ static llvm::BasicBlock *convertOmpOpRegions(
 
   // Convert blocks one by one in topological order to ensure
   // defs are converted before uses.
-  SetVector<Block *> blocks = getTopologicallySortedBlocks(region);
+  SetVector<Block *> blocks = getBlocksSortedByDominance(region);
   for (Block *bb : blocks) {
     llvm::BasicBlock *llvmBB = moduleTranslation.lookupBlock(bb);
     // Retarget the branch of the entry block to the entry block of the
@@ -2146,40 +2146,38 @@ getFirstOrLastMappedMemberPtr(mlir::omp::MapInfoOp mapInfo, bool first) {
   llvm::SmallVector<size_t> indices(shape[0]);
   std::iota(indices.begin(), indices.end(), 0);
 
-  llvm::sort(
-      indices.begin(), indices.end(), [&](const size_t a, const size_t b) {
-        auto indexValues = indexAttr.getValues<int32_t>();
-        for (int i = 0;
-             i < shape[1];
-             ++i) {
-          int aIndex = indexValues[a * shape[1] + i];
-          int bIndex = indexValues[b * shape[1] + i];
+  llvm::sort(indices.begin(), indices.end(),
+             [&](const size_t a, const size_t b) {
+               auto indexValues = indexAttr.getValues<int32_t>();
+               for (int i = 0; i < shape[1]; ++i) {
+                 int aIndex = indexValues[a * shape[1] + i];
+                 int bIndex = indexValues[b * shape[1] + i];
 
-          if (aIndex == bIndex)
-            continue;
+                 if (aIndex == bIndex)
+                   continue;
 
-          if (aIndex != -1 && bIndex == -1)
-            return false;
+                 if (aIndex != -1 && bIndex == -1)
+                   return false;
 
-          if (aIndex == -1 && bIndex != -1)
-            return true;
+                 if (aIndex == -1 && bIndex != -1)
+                   return true;
 
-          // A is earlier in the record type layout than B
-          if (aIndex < bIndex)
-            return first;
+                 // A is earlier in the record type layout than B
+                 if (aIndex < bIndex)
+                   return first;
 
-          if (bIndex < aIndex)
-            return !first;
-        }
+                 if (bIndex < aIndex)
+                   return !first;
+               }
 
-        // Iterated the entire list and couldn't make a decision, all elements
-        // were likely the same. Return false, since the sort comparator should
-        // return false for equal elements.
-        return false;
-      });
+               // Iterated the entire list and couldn't make a decision, all
+               // elements were likely the same. Return false, since the sort
+               // comparator should return false for equal elements.
+               return false;
+             });
 
-    return llvm::cast<mlir::omp::MapInfoOp>(
-          mapInfo.getMembers()[indices.front()].getDefiningOp());
+  return llvm::cast<mlir::omp::MapInfoOp>(
+      mapInfo.getMembers()[indices.front()].getDefiningOp());
 }
 
 /// This function calculates the array/pointer offset for map data provided
diff --git a/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp b/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
index 669b95a9c6a5b..21e7c0b50d2a4 100644
--- a/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
+++ b/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
@@ -1320,7 +1320,7 @@ LogicalResult ModuleTranslation::convertOneFunction(LLVMFuncOp func) {
 
   // Then, convert blocks one by one in topological order to ensure defs are
   // converted before uses.
-  auto blocks = getTopologicallySortedBlocks(func.getBody());
+  auto blocks = getBlocksSortedByDominance(func.getBody());
   for (Block *bb : blocks) {
     CapturingIRBuilder builder(llvmContext);
     if (failed(convertBlockImpl(*bb, bb->isEntryBlock(), builder,
diff --git a/mlir/lib/Transforms/Mem2Reg.cpp b/mlir/lib/Transforms/Mem2Reg.cpp
index e096747741c0a..e2e240ad865ce 100644
--- a/mlir/lib/Transforms/Mem2Reg.cpp
+++ b/mlir/lib/Transforms/Mem2Reg.cpp
@@ -517,7 +517,7 @@ getOrCreateBlockIndices(BlockIndexCache &blockIndexCache, Region *region) {
     return it->second;
 
   DenseMap<Block *, size_t> &blockIndices = it->second;
-  SetVector<Block *> topologicalOrder = getTopologicallySortedBlocks(*region);
+  SetVector<Block *> topologicalOrder = getBlocksSortedByDominance(*region);
   for (auto [index, block] : llvm::enumerate(topologicalOrder))
     blockIndices[block] = index;
   return blockIndices;
diff --git a/mlir/lib/Transforms/Utils/RegionUtils.cpp b/mlir/lib/Transforms/Utils/RegionUtils.cpp
index e25867b527b71..192f59b353295 100644
--- a/mlir/lib/Transforms/Utils/RegionUtils.cpp
+++ b/mlir/lib/Transforms/Utils/RegionUtils.cpp
@@ -837,7 +837,7 @@ LogicalResult mlir::simplifyRegions(RewriterBase &rewriter,
                  mergedIdenticalBlocks);
 }
 
-SetVector<Block *> mlir::getTopologicallySortedBlocks(Region &region) {
+SetVector<Block *> mlir::getBlocksSortedByDominance(Region &region) {
   // For each block that has not been visited yet (i.e. that has no
   // predecessors), add it to the list as well as its successors.
   SetVector<Block *> blocks;