anza-ed25519-verified/verification/check-scalar.sh
mrwulf 67baea6d6e 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

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#!/usr/bin/env bash
# Scalar-layer check (Scalar52 arithmetic mod ). Compiles the gen model + the
# proven foundation. add/sub (Range-loop reductions) and the Montgomery mul
# path are in progress — see README. Guarded compiles throughout.
set -uo pipefail
source ~/aeneas-toolchain/env.sh
HERE="$(cd "$(dirname "$0")" && pwd)"
AENEAS_LEAN="$AENEAS_HOME/backends/lean"
GEN=(CurveScalar/TypesExternal CurveScalar/Types CurveScalar/FunsExternal CurveScalar/Funs)
PROOFS=(ScalarDenote)
echo "=== stub/axiom audit ==="
grep -rnE '^(private |protected |noncomputable )*axiom ' "$HERE"/Proofs/Scalar*.lean 2>/dev/null && { echo "axiom under Proofs/"; exit 1; }
echo " clean"
echo "=== compile (guarded) ==="
cd "$AENEAS_LEAN"
lake env bash -c "
set -uo pipefail
cd '$HERE/gen' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD:$HERE\"
for m in ${GEN[*]}; do echo \" · gen \$m\"; LEAN_TIMEOUT=300 LEAN_MEM_MB=6144 '$HERE/lean-guard' \"\$m.lean\" || exit 1; done
cd '$HERE'
for m in ${PROOFS[*]}; do echo \" · proof \$m\"; LEAN_TIMEOUT=300 LEAN_MEM_MB=6144 '$HERE/lean-guard' \"Proofs/\$m.lean\" || exit 1; done
" || { echo FAIL; exit 1; }
echo ""
echo "SCALAR FOUNDATION: gen compiles; denotation + group-order constant (L = ) proven."