dalek-ed25519-verified/verification/gen/CurveField
mrwulf c85704c0c4 THE SIGNATURE APEX: the EdDSA verification equation, proven and audited
`Proofs/SigApexSpec.lean`:
- `verify_loop_full` — the extracted 32-byte comparison loop returns exactly
  the byte-equality of the two arrays (induction; axiom cone = exactly
  [propext, Classical.choice, Quot.sound]).
- `verify_accepts_iff` — THE APEX: for a signature that parses, the
  extracted RustCrypto verifier accepts IFF the recomputed compressed point
      compress( [s]·B − [k]·A )
  equals the signature's R byte-for-byte. The recomputation is grounded in
  the PROVEN curve model (every curve and scalar call is a certified
  definition); k is whatever scalar the SHA-512 oracle produces — the
  honest EdDSA acceptance criterion with the hash opaque.

Boundary hygiene forced by the audit itself:
- The public vartime_double_scalar_mul_basepoint dispatch pulled the AVX2
  vector-backend axiom into the apex cone. Fixed at the build level:
  extract.sh pins RUSTFLAGS --cfg curve25519_dalek_backend="serial", so the
  SIMD arm compiles out; BackendKind has only Serial and
  get_selected_backend becomes a real definition (ok Serial).
- subtle.Choice.unwrap_u8 upgraded from axiom to the documented model
  definition (Choice := U8; unwrap_u8 = self.0) — it sits on the verify
  path via compress → is_negative.
- CurveSig modules added to GEN_MODULES (stale-olean incoherence otherwise).

check.sh grows Phase 3b: the apex certificate's axiom cone must equal
EXACTLY
  [propext, Classical.choice, Quot.sound,
   ed25519.Signature, sha2.Sha512,
   sha512_new, sha512_update, sha512_finalize_bytes,
   ed25519.Signature.to_bytes, signature.error.Error, Error.new]
— the SHA-512 hash oracle plus the opaque wire-format types. NO curve
axioms, NO scalar axioms, NO backend axioms, enforced on every button press.

Full check.sh green: 16 standard certificates + the apex audit.

Phase 2 (the point-level equation [s]B − [k]A = decompress R, needing
to_bytes canonicity and decompress) remains deferred and documented.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-04 19:45:55 +02:00
..
Funs.lean THE SIGNATURE APEX: the EdDSA verification equation, proven and audited 2026-07-04 19:45:55 +02:00
FunsExternal.lean THE SIGNATURE APEX: the EdDSA verification equation, proven and audited 2026-07-04 19:45:55 +02:00
FunsExternal_Template.lean THE SIGNATURE APEX: the EdDSA verification equation, proven and audited 2026-07-04 19:45:55 +02:00
Types.lean THE SIGNATURE APEX: the EdDSA verification equation, proven and audited 2026-07-04 19:45:55 +02:00
TypesExternal.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
TypesExternal_Template.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00