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5 commits

Author SHA1 Message Date
e9774e0753 Scalar layer complete: Montgomery reduction + full mul ported, scalarImplementation aggregate
Port of the dalek Montgomery stack against THIS fork's own extraction
(gen sections byte-identical, proofs recompiled from scratch here):
- Proofs/ScalarMulSpec.lean      - mul_internal: 9 exact schoolbook columns
- Proofs/ScalarMontSpec.lean     - part1/part2 exact-division rounds
  (LFACTOR*L0 = -1 mod 2^52), head/tail telescopes, mont_bound, tail walk
- Proofs/ScalarReduceSpec.lean   - montgomery_reduce main walk:
  scDenote r * 2^260 = Z in ZMod ell + 52-bit output bounds
- Proofs/ScalarFullMulSpec.lean  - mul = double Montgomery round through
  RR = R^2 mod ell; R cancelled as a unit; post: [mul a b] = [a]*[b]
- Proofs/ScalarMain.lean         - scalarImplementation aggregate (ScBnd
  interfaces; canonical inputs discharge the Montgomery bound)

sub_val_spec/add_val_spec posts strengthened with result-limb bounds.
check-scalar.sh: 9 proof files, 10 kernel audits, all exactly
[propext, Classical.choice, Quot.sound]. Button pressed fresh: green.
2026-07-03 21:36:35 +02:00
681ce95293 scalar layer: add+sub fully proven mod l (port from dalek, own extraction)
The solana fork's Scalar52 sub/add/conditional_add_l extract token-identical
to upstream dalek (only the crate namespace differs: curve25519 vs
curve25519_dalek), so ScalarSubSpec/ScalarAddSpec port with the namespace
adjustment and verify against THIS fork's own gen (R2). ScalarLoop
infrastructure included. check-scalar.sh at dalek parity: full manifest +
5/5 kernel axiom audit, green at 300s/4096MB.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-03 18:17:30 +02:00
8440b53bdc Add scalar-layer foundation (Scalar52 arithmetic mod ℓ)
Transpile the Scalar52 limb backend (backend::serial::u64::scalar
add/sub/mul/square/montgomery_*) from Rust to Lean via Charon/Aeneas,
scoped at the function level to the iterator-free arithmetic core.

  - verification/extract-scalar.sh: function-level Charon/Aeneas extraction
  - verification/gen/CurveScalar/{Types,Funs}.lean: transpiled model (28 defs)
  - verification/gen/CurveScalar/{TypesExternal,FunsExternal}.lean: hand-written
    external models (subtle.Choice + 2 subtle fns; namespace = curve25519)
  - verification/Proofs/ScalarDenote.lean: semantic foundation — Scalar52
    denotation into ℤ/ℓℤ, limb-bound invariant, and L_val (the transpiled
    constants::L denotes exactly the group order ℓ, kernel-checked)
  - verification/check-scalar.sh: guarded compile of the four gen modules
    plus the denotation foundation

check-scalar.sh passes: gen compiles; denotation + L = ℓ proven.
add/sub/mul remain in progress.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-02 21:19:58 +02:00
90c019b8d4 group-law layer: complete twisted Edwards addition law proven
Extraction widened to backend::serial::curve_models + edwards (matching the
reference recipe; extra opaque: backend::scalar_fits_in_128_bits — a
post-reference NAF-path helper whose generated code trips an Aeneas
namespace-shadowing wart). Reference Ed* suite compiles UNCHANGED (same
crate namespace). All proofs pass; both certificates axiom-clean.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-02 15:04:25 +02:00
7018fdc3a1 field layer: 14 proofs pass, fieldImplementation axiom-clean
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-02 14:42:46 +02:00