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Denotational semantics for Laurel IR with concrete evaluator and transform preservation tests#631

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feat/laurel-denotational-semantics
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Denotational semantics for Laurel IR with concrete evaluator and transform preservation tests#631
olivier-aws wants to merge 14 commits intomainfrom
feat/laurel-denotational-semantics

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Denotational semantics for Laurel IR with concrete evaluator and transform preservation tests

Summary

This PR adds a fuel-based denotational interpreter for Laurel IR, a concrete program evaluator, a comprehensive test suite (~130 tests), and transform-preservation infrastructure that validates the Laurel→Laurel lowering pipeline preserves semantics. It also fixes a bug in liftExpressionAssignments that broke evaluation order.

Changes

Denotational interpreter (Strata/Languages/Laurel/)

  • LaurelSemantics.lean: Shared semantic types (values, stores, heaps, outcomes) and helper functions (evalPrimOp, bindParams, getBody, etc.) used by the interpreter and evaluator.
  • LaurelDenote.lean: Fuel-based denotational interpreter (denoteStmt, denoteBlock, denoteArgs) — three mutually recursive functions covering all StmtExpr constructors exhaustively. Short-circuit operators (AndThen, OrElse, Implies) are handled as special cases before the general PrimitiveOp path. evalPrimOp uses explicit per-operation fallthrough (no wildcard) so adding a new Operation variant forces a build error.
  • LaurelDenoteMono.lean: Fuel monotonicity proof — if the interpreter succeeds with fuel n, it succeeds with any m ≥ n giving the same result.
  • LaurelConcreteEval.lean: Bridges denoteStmt to Laurel.Program by building ProcEnv from static + instance procedures, constructing the initial store from static fields, and running main.

Test suite (StrataTest/Languages/Laurel/)

  • ConcreteEval/: 13 test modules covering primitives, arithmetic, boolean ops (including short-circuit), control flow, variables, procedures, side effects, recursion, aliasing, heap objects, type ops, verification constructs, and edge cases. Shared TestHelper.lean with parseLaurel (parse + resolve) and programmatic AST helpers.
  • LaurelDenoteTest.lean, LaurelDenoteUnitTest.lean, LaurelDenoteIntegrationTest.lean, LaurelDenotePropertyTest.lean: Direct tests of the denotational interpreter using both programmatic AST and Plausible property-based testing.
  • LaurelConcreteEvalTest.lean: End-to-end tests of the concrete evaluator.

Transform preservation (ConcreteEval/TransformPreservation.lean)

Runs all 94 string-based ConcreteEval tests after the full Laurel→Laurel lowering pipeline (the exact pass sequence from LaurelToCoreTranslator.translate, stopping before Laurel→Core translation). 82/94 pass — the remaining 12 failures are all due to heapParameterization changing the calling convention for composite types.

Bug fix: liftExpressionAssignments

Fixed two bugs in the StaticCall case of transformExpr:

  1. Nested call ordering: add(mul(2,3), mul(4,5)) — the outer call's temp variable was declared before inner calls' temps, causing the evaluator to reference undeclared variables.

  2. Side-effect evaluation order: add({x:=1;x}, {x:=x+10;x}) — the lifted code didn't preserve left-to-right evaluation order. Fixed by isolating each arg's prepends, capturing side-effectful args in temporaries, and emitting prepend groups in the correct order.

Other improvements

  • LaurelToCoreTranslator.lean: Extracted lowerLaurelToLaurel function that runs all Laurel→Laurel passes, reusable by both translate and the test infrastructure.
  • Removed applyLift parameter from parseLaurel — tests validate raw Laurel semantics directly.
  • Removed unused simp warnings in LaurelDenoteMono.lean.

Testing

  • lake build — no warnings from new files
  • lake test — all tests pass
  • Transform preservation: 82/94 tests match direct-mode output

By submitting this pull request, I confirm that you can use, modify, copy, and redistribute this contribution, under the terms of your choice.

…prehensive test suite

Semantics (Strata/Languages/Laurel/):
- LaurelSemantics: Shared type definitions (values, stores, heaps, outcomes)
  and helper functions (evalPrimOp, bindParams, store/heap operations)
- LaurelDenote: Fuel-based denotational interpreter
- LaurelDenoteMono: Fuel monotonicity proof for the denotational interpreter

Concrete evaluator:
- LaurelConcreteEval: Concrete evaluator for Laurel programs via
  denotational semantics

Test suite (StrataTest/Languages/Laurel/):
- LaurelDenoteUnitTest: Unit tests for denotational interpreter
- LaurelDenoteIntegrationTest: Integration scenario tests
- LaurelDenotePropertyTest: Plausible property-based tests
- LaurelConcreteEvalTest: Concrete evaluator tests using Laurel parser
- ConcreteEval/ module hierarchy with shared TestHelper:
  Primitives, Arithmetic, BooleanOps, ControlFlow, SideEffects,
  Procedures, Aliasing, Variables, HeapObjects, Recursion,
  TypeOps, Verification, EdgeCases

Also fixes LiftImperativeExpressions refactoring and minor test updates.
…onstructs

Remove the wildcard catch-all from evalPrimOp and replace it with
explicit per-operation cases so that adding a new Operation constructor
forces a build error. This prevents new operations from silently
returning none.

Add short-circuit handling for AndThen, OrElse, and Implies in
denoteStmt instead of evalPrimOp, since these operators must not
eagerly evaluate their second argument. This enables proper
side-effect semantics where the second operand is only evaluated
when needed.

Add DivT (truncation division) and ModT (truncation modulus) cases
to evalPrimOp using Int.tdiv and Int.tmod respectively.

Update the fuel monotonicity proof (LaurelDenoteMono) to handle the
new short-circuit cases in denoteStmt by case-splitting on the
operation and argument list structure.

Fix pre-existing test failures:
- BooleanOps tests now pass (AndThen/OrElse have semantics)
- LaurelConcreteEvalTest short-circuit tests now pass
- LaurelDenoteUnitTest short-circuit tests use correct operations
- DivT test updated from stuck to returning correct result

Add new tests:
- DivT/ModT with positive and negative operands
- DivT/ModT division by zero (stuck)
- evalPrimOp unit tests for DivT, ModT, AndThen, OrElse, Implies
- Truncation division edge cases (negative dividend/divisor)
…exhaustive over all Laurel constructs

- Add DivT/ModT to arithTotalProp property test (bug fix)
- Add Implies to short-circuit ops return none section in unit tests
- Add TODO for extracting shared tactic in LaurelDenoteMono.lean
- Document And/Or (eager) vs AndThen/OrElse/Implies (short-circuit)
  distinction in evalPrimOp
- Fix stale comment in BooleanOps.lean referencing And/Or instead of
  AndThen/OrElse for short-circuit semantics
…osition

Test 3 expected `returned: 42` but got `returned: 0` because the
block expression `{x := 42; x}` was wrapped in a procedure call
`id(...)`. The lift pass correctly lifts the call to a temporary
before the block's side effects execute, so `id(x)` was called with
x still equal to 0.

Rewrite Test 3 to place the block expression directly in return
position (`return {x := 42; x}`) where the lift pass produces the
correct order: assign x := 42, then return x. The expected output
`returned: 42` remains correct.
The denotational interpreter handles blocks in expression/argument
position natively, making the liftExpressionAssignments pass
unnecessary for concrete evaluator tests. Remove the applyLift
parameter, its conditional logic, and the LiftImperativeExpressions
import. Update all 58 call sites and related doc comments.
Delete three no-op `simp only [denoteStmt] at heval ⊢` lines in the
AndThen, OrElse, and Implies cases of denoteStmt_fuel_mono. The match
on the following line already unfolds denoteStmt, making these simp
calls redundant and triggering unused-argument warnings during build.

Remove unused simp warnings in LaurelDenoteMono.lean
Add infrastructure to run every string-based ConcreteEval test through
the full Laurel→Laurel lowering pipeline, exposing which tests break
after the lowering passes.

Changes:
- Add lowerLaurelToLaurel helper to LaurelToCoreTranslator.lean that
  extracts the Laurel→Laurel pass sequence (stops before Laurel→Core)
- Add parseLaurelTransformed to TestHelper.lean using the new helper
- Create TransformPreservation.lean with 94 tests mirroring all
  string-based ConcreteEval tests
- Update ConcreteEval.lean barrel file

Results: 77/94 tests pass (output matches direct mode).
17 tests fail due to two known categories:
- heapParameterization (13 tests): composite types/heap objects
- liftExpressionAssignments (4 tests): nested calls and eval order

Failing tests document actual (wrong) output with explanatory comments.
- Fix failure count breakdown: 12 heapParameterization / 5
  liftExpressionAssignments (was incorrectly 13/4)
- Fix SideEffects Test 1 comment: the lifting pass traverses arguments
  right-to-left creating snapshot variables, so both block expressions
  independently see the original x=0, yielding add(0,0)=0
- Remove duplicate resolve call in lowerLaurelToLaurel (no-op second
  call after modifiesClausesTransform, mirrored from translate)
- Add TODO to refactor translate to call lowerLaurelToLaurel internally
  to avoid duplicated Laurel→Laurel pass pipeline
Two bugs in the StaticCall case of transformExpr:

1. Nested call ordering: when an imperative call had arguments that were
   themselves imperative calls (e.g. add(mul(2,3), mul(4,5))), the outer
   call's temp variable was declared before the inner calls' temps.
   Fix: snapshot arg prepends before adding the call's own prepends,
   then restore them so inner calls are declared first.

2. Side-effect evaluation order: when arguments contained blocks with
   side effects (e.g. add({x:=1;x}, {x:=x+10;x})), the lifted code
   didn't preserve left-to-right evaluation order. The right arg's
   side effects could clobber variables read by the left arg's result.
   Fix: isolate each arg's prepends, capture side-effectful args in
   temporaries, and emit prepend groups in left-to-right order using
   the cons-based stack (right-to-left groups pushed first so left
   groups end up on top).

All 5 liftExpressionAssignments failures in TransformPreservation
tests now pass (82/94 total, remaining 12 are heapParameterization).
@olivier-aws olivier-aws marked this pull request as ready for review March 20, 2026 20:38
@olivier-aws olivier-aws requested a review from a team March 20, 2026 20:38
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