dalek-ed25519-verified/verification/Proofs
mrwulf 4140ff3249 Merge scalar into CurveField; integrate the verify glue against the model
Gen merge: extract.sh now co-extracts the Scalar52 backend and the public
scalar::from_bytes_mod_order[_wide] conversions into the SAME CurveField
model, so the whole library — field, curve_models, edwards, scalar — shares
one type universe (Scalar is a single structure, not two). The scalar proof
chain repoints by one import line (ScalarDenote: CurveScalar.Funs ->
CurveField.Funs); check-scalar.sh's gen list follows. Both buttons — the
scalar certificates and the field/group/dsm certificates — pass fresh over
the merged gen, so the merge is proven-safe, not merely hoped-safe.

Verify glue (gen/CurveSig): the extracted ed25519-dalek verify_sha512 path,
integrated against the proven model:
- TypesExternal.lean imports CurveField.Types, so CompressedEdwardsY /
  EdwardsPoint / Scalar in the glue ARE the proven model's types. Only the
  genuinely foreign types stay opaque: sha2.Sha512, ed25519.Signature,
  signature.error.Error.
- FunsExternal.lean imports CurveField.Funs, so every curve/scalar call
  (compress, vartime_double_scalar_mul_basepoint, as_bytes, neg,
  from_bytes_mod_order[_wide]) resolves to a proven definition — no axioms.
  The `?`-operator plumbing (Try::branch, FromResidual::from_residual) and
  compressed_from_bytes get real definitions. Only the SHA-512 hasher
  (sha512_new/update/finalize_bytes) and two opaque wire accessors
  (Signature.to_bytes, Error.new) remain axiomatized — the deliberate,
  documented hash-oracle boundary.

Audited: `verify_sha512`'s entire axiom cone is
  [propext, Classical.choice, Quot.sound,
   sha2.Sha512, sha512_new, sha512_update, sha512_finalize_bytes,
   ed25519.Signature.to_bytes, signature.error.Error.new]
— zero curve axioms, zero scalar axioms. The verify path is definitionally
grounded in the certified model; the only trust boundary is SHA-512.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-04 18:13:58 +02:00
..
AddSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
Basic.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
ConstSpecs.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
Denote.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
DsmLoopSpec.lean Double-scalar-mul proof campaign, bricks 1-3: table, digit step, loop 2026-07-04 15:30:18 +02:00
DsmMulSpec.lean NAF encoder proven end-to-end + the phase-1 double-scalar-mul apex 2026-07-04 16:52:06 +02:00
DsmNafLoadSpec.lean NAF campaign stages 1-2: LE load walks + the digit loop's arithmetic core 2026-07-04 15:30:18 +02:00
DsmNafLoopSpec.lean NAF encoder proven end-to-end + the phase-1 double-scalar-mul apex 2026-07-04 16:52:06 +02:00
DsmNafMath.lean NAF campaign stages 1-2: LE load walks + the digit loop's arithmetic core 2026-07-04 15:30:18 +02:00
DsmNafSpec.lean NAF encoder proven end-to-end + the phase-1 double-scalar-mul apex 2026-07-04 16:52:06 +02:00
DsmStepSpec.lean Double-scalar-mul proof campaign, bricks 1-3: table, digit step, loop 2026-07-04 15:30:18 +02:00
DsmTableSpec.lean Double-scalar-mul proof campaign, bricks 1-3: table, digit step, loop 2026-07-04 15:30:18 +02:00
EdAddAffNiels.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdAddProjNiels.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdConvert.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdCurve.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdDenote.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdDouble.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
EdMain.lean group-law layer: complete twisted Edwards addition law proven 2026-07-02 14:50:42 +02:00
FeQ.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
Field.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
FieldMain.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
InvertSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
MulSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
P25519.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
ReduceSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
ScalarAddSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarBytesSpec.lean Hash-to-scalar PROVEN: from_bytes_wide_spec - Scalar::from_hash's reduction is exact mod l 2026-07-04 10:31:32 +02:00
ScalarDenote.lean Merge scalar into CurveField; integrate the verify glue against the model 2026-07-04 18:13:58 +02:00
ScalarFromBytesSpec.lean Hash-to-scalar PROVEN: from_bytes_wide_spec - Scalar::from_hash's reduction is exact mod l 2026-07-04 10:31:32 +02:00
ScalarFullMulSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarLoop.lean scalar: generic loop-combinator lemmas (loop_step, range_next_lt/ge_spec) 2026-07-02 21:47:47 +02:00
ScalarMain.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarMontSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarMulSpec.lean scalar layer: mul_internal proven — Montgomery frontier phase A down 2026-07-03 18:56:04 +02:00
ScalarReduceSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarSubSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
ScalarUnpackSpec.lean Hash-to-scalar PROVEN: from_bytes_wide_spec - Scalar::from_hash's reduction is exact mod l 2026-07-04 10:31:32 +02:00
ScalarWideSpec.lean Signature layer, first bricks: canonicity closure + hash-to-scalar foundation 2026-07-03 23:18:29 +02:00
Square2Spec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
SquareSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00
SubNegSpec.lean field layer: 14 proofs pass, fieldImplementation axiom-clean 2026-07-02 14:17:44 +02:00