F414 production and verification contract Producer - compiler/ContinuationLowering.cpp - MultiLatchLoopMemoryPhiCertificate - multiLatchLoopMemoryPhiInitialization - multiLatchLoopMemoryPhiRecord - bounded-multilatch-loop-memoryphi-byte-lane-fixed-point - symcc-loop-memoryphi-byte-lane-induction-v4 - mutually-exclusive-backedge-transfer Consumer and runtime - util/live_continuation.py - LiveContinuationExecutor._multilatch_loop_memoryphi_fixed_point_initialization - exact base/strided/multi-latch capability closure - direct CFG, true-first decision-tree, dominance, and scalar PHI edge-copy replay - closed scalar guard-expression provenance and exact integer width/range replay - header MemoryPhi incoming block/access/kind identity - complete versus recurrence-reachable writer aliases - finite monotone byte-lane union, stability round, and complete alternatives - bound capacity and whole-domain no-wrap proof - path-local byte-init bitmap authority Production fixtures and checker - test/live_multilatch_loop_memoryphi_fixed_point.ll - util/check_live_continuation_lowering.py - benchmark/generate_multilatch_loop_memoryphi_fixture.py Independent semantics and mechanism cost - benchmark/check_multilatch_loop_memoryphi_oracles.py - benchmark/benchmark_multilatch_loop_memoryphi.py - test/test_multilatch_loop_memoryphi_fixed_point.py Documentation and diagram - docs/codex/research-progress/Multi_Latch_MemoryPhi_Fixed_Point_F414_2026-08-16.md - docs/codex/diagrams/multilatch-memoryphi-fixed-point-f414.svg - docs/codex/diagrams/multilatch-memoryphi-fixed-point-f414.png