verify(falcon): v1.128 → P04 verified — machine-checked f32 sin approximation bound - #308
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…ximation bound (MATHF32-P04) Two-commit rule, second commit (code-free): the implementation (the Coq-Interval proof proofs/rocq/sin_approx.v) landed in #307 with its Rocq + Gappa gate green on CI; this promotes SWREQ-FALCON-MATHF32-P04 from `implemented` to `verified` and adds the verification artifact FV-FALCON-MATHF32-004. The approximation-error bound |P(r) - sin r| <= 1e-8 over r in [-0.8, 0.8] is machine-checked (Coq-Interval `interval` tactic, kernel-checked by the withPackages coqc; the tactic's own success never trusted, CC-002), non-vacuous (proves 1e-8, fails 8e-9 at i_degree 18), enforced by the required rocq.yml gate (//proofs/rocq:all includes sin_approx_test). Coefficients are byte-identical to the P03 Gappa proof, so the rounding and approximation layers compose. Scope: the approximation ingredient only — the reduced-range composition and Cody-Waite reduction remain P06. No source changes. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01HvusAXYbHLyv3uTzfBcMbG
avrabe
enabled auto-merge (squash)
July 23, 2026 05:28
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Two-commit rule — the code-free verify half of P04
The implementation (
proofs/rocq/sin_approx.v) landed in #307 with its Rocq + Gappa gate green on CI. This PR contains no source changes — it only:SWREQ-FALCON-MATHF32-P04fromimplemented→verifiedFV-FALCON-MATHF32-004(verifiesP04)What's verified
The approximation-error bound — the minimax remainder — machine-checked:
intervaltactic, kernel-checked by the withPackagescoqc(rules_rocq_rust#43); the tactic's own success is never trusted (CC-002).i_degree 18.rocq.ymlgate (//proofs/rocq:allincludessin_approx_test) — ran green on feat(math): machine-checked approximation bound for the f32 sin kernel (MATHF32-P04) #307's merge.Scope: the approximation ingredient only. The reduced-range composition and Cody-Waite reduction remain P06.
Closes the V for the sole artifact in the
falcon-v1.128.0release scope.🤖 Generated with Claude Code