Same architecture as the dalek/risc0/betrusted forks: the Scalar52
arithmetic start-froms (11 fns) plus scalar::from_bytes_mod_order[_wide]
join the CurveField extraction, so the field, curve, and scalar layers
share a single type universe - the prerequisite for the signature apex,
whose verify glue must see curve AND scalar calls resolve to proven
definitions by fully-qualified name.
Proofs/ScalarDenote.lean flips its import CurveScalar.Funs ->
CurveField.Funs (one line; the whole scalar proof chain recompiles
unchanged on the merged gen). check-scalar.sh repoints its GEN list.
gen/CurveScalar retained until the deprecation pass, as on the siblings.
check.sh + check-scalar.sh both green, all certificates axiom-clean.
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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>
