anza-ed25519-verified/verification/Proofs
mrwulf 7dc6bdc40d Signature layer, first bricks: canonicity closure + hash-to-scalar foundation
Canonicity pass (the layer is now closed under its own preconditions):
- sub_val_spec post carries the exact value equation
  (exists beta <= 1, scVal r + scVal b = scVal a + ell*beta, with the
  underflow guard beta = 1 -> scVal a < scVal b)
- add/montgomery_reduce/mul/aggregate posts all carry scVal r < ell:
  canonical inputs give canonical outputs everywhere. Needed because
  from_bytes_wide (hash-to-scalar) feeds Montgomery outputs into add.

Hash-to-scalar foundation (toward Scalar::from_hash / EdDSA verify):
- extraction scope + from_bytes_wide (brings constants::R); regenerated gen
- source repos carry a documented Aeneas-compat patch: the bare
  `hi[4] = words[7] >> 20` extracts ill-typed at pin bf13c42e; masked
  (semantic no-op, words[7] >> 20 < 2^44)
- Proofs/ScalarWideSpec.lean: R constant lemmas (R = 2^260 mod ell,
  witness 2^260 = R + 255*ell) and montgomery_mul_spec, the single
  Montgomery round: [r]*2^260 = [a]*[b], canonical bounded output

check-scalar.sh: 10 proof files, 11 kernel audits, all exactly
[propext, Classical.choice, Quot.sound]. Button pressed fresh: green.
2026-07-03 23:18:31 +02:00
..
AddSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
Basic.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
ConstSpecs.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
Denote.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
EdAddAffNiels.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdAddProjNiels.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdConvert.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdCurve.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdDenote.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdDouble.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
EdMain.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 15:04:25 +02:00
FeQ.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
Field.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
FieldMain.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
InvertSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
MulSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
P25519.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
ReduceSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
ScalarAddSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarDenote.lean Add scalar-layer foundation (Scalar52 arithmetic mod ℓ) 2026-07-02 21:19:58 +02:00
ScalarFullMulSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarLoop.lean scalar layer: add+sub fully proven mod l (port from dalek, own extraction) 2026-07-03 18:17:30 +02:00
ScalarMain.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarMontSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarMulSpec.lean Scalar layer complete: Montgomery reduction + full mul ported, scalarImplementation aggregate 2026-07-03 21:36:35 +02:00
ScalarReduceSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarSubSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
ScalarWideSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:31 +02:00
Square2Spec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
SquareSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00
SubNegSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:42:46 +02:00