F412 production and verification contract Producer - compiler/ContinuationLowering.cpp - LoopMemoryPhiByteLaneCertificate::isStrided - loopMemoryPhiByteLaneInitialization - loopMemoryPhiByteLaneRecord - bounded-strided-loop-memoryphi-byte-lane-induction - symcc-loop-memoryphi-byte-lane-induction-v2 Consumer and runtime - util/live_continuation.py - LiveContinuationExecutor._loop_memoryphi_byte_lane_initialization - exact base/extension capability closure - scalar PHI edge-copy and latch-step replay - pointer_offset base/index/scale/ordering replay - complete aliases versus recurrence-reachable writer subset - unique writer byte owner and load-lane Cartesian product - bound capacity and whole-domain no-wrap proof - path-local byte-init authority Production fixtures and checkers - test/live_strided_loop_memoryphi_byte_lane_induction.ll - util/check_live_continuation_lowering.py - benchmark/generate_strided_loop_memoryphi_byte_lane_fixture.py Independent semantics and mechanism cost - benchmark/check_strided_loop_memoryphi_byte_lane_oracles.py - benchmark/benchmark_strided_loop_memoryphi_byte_lane.py - test/test_strided_loop_memoryphi_byte_lane_induction.py Documentation and diagram - docs/codex/research-progress/Strided_Loop_MemoryPhi_Residue_Cover_F412_2026-08-16.md - docs/codex/diagrams/strided-loop-memoryphi-residue-cover-f412.svg - docs/codex/diagrams/strided-loop-memoryphi-residue-cover-f412.png