anza-ed25519-verified/verification/check-scalar.sh
mrwulf abb1045df3 Signature layer: the 64-byte unpack certificates (8x8 loops proven)
Toward Scalar::from_hash: bytes_unpack_spec proves the from_bytes_wide
word-unpack loops pack 64 little-endian bytes into 8 words exactly.

- Proofs/ScalarBytesSpec.lean (3308 lines): bytes_word_loop_spec_0..7,
  each split head/tail at j=4 (the 8-fold monolith grows exponentially
  in elaboration - METHOD 4). Disjoint-bit ORs become additions via
  core's Nat.two_pow_add_eq_or_of_lt with explicit calc bridges (the
  default simp set literalizes 2^8 -> 256 and breaks pow-form rewrites;
  simp only everywhere).
- Proofs/ScalarUnpackSpec.lean: bytes_unpack_spec composes the eight
  inner lemmas through the outer loop (iterator start needs a term-level
  equality rewrite per peel).

The from_bytes_wide main walk itself is proven at elaboration level
(fail-probe verified end to end) but its single-decl kernel certificate
replays >30min; it ships next as a phase-split (plan in the control
repo's method notes). check-scalar.sh: 12 proof files, 12 kernel audits,
all exactly [propext, Classical.choice, Quot.sound]. Button green.
2026-07-04 03:22:27 +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 ScalarLoop ScalarSubSpec ScalarAddSpec ScalarMulSpec ScalarMontSpec ScalarReduceSpec ScalarFullMulSpec ScalarMain ScalarWideSpec ScalarBytesSpec ScalarUnpackSpec)
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 ${PROOFS[*]}; do echo \" · proof \$m\"; LEAN_TIMEOUT=300 LEAN_MEM_MB=4096 '$HERE/lean-guard' \"Proofs/\$m.lean\" || exit 1; done
" || { echo FAIL; exit 1; }
echo "=== Phase 3: axiom audit (kernel-level) ==="
cd "$AENEAS_LEAN"
lake env bash -c "
set -uo pipefail
export LEAN_PATH=\"\$LEAN_PATH:$HERE/gen:$HERE\"
cd '$HERE'
AUD=\$(mktemp '$HERE/.audit-scalar-XXXX.lean')
{ echo 'import Proofs.ScalarMain'; echo 'import Proofs.ScalarWideSpec'; echo 'import Proofs.ScalarUnpackSpec'; echo '#print axioms ScalarProofs.L_val'
echo '#print axioms ScalarProofs.sub_loop_spec'
echo '#print axioms ScalarProofs.cond_add_l_one_spec'; echo '#print axioms ScalarProofs.sub_val_spec'; echo '#print axioms ScalarProofs.add_val_spec'; echo '#print axioms ScalarProofs.mul_internal_spec'
echo '#print axioms ScalarProofs.part1_spec'; echo '#print axioms ScalarProofs.montgomery_reduce_spec'; echo '#print axioms ScalarProofs.mul_spec'; echo '#print axioms ScalarProofs.scalarImplementation'; echo '#print axioms ScalarProofs.montgomery_mul_spec'; echo '#print axioms ScalarProofs.bytes_unpack_spec'; } > \"\$AUD\"
OUT=\$(LEAN_TIMEOUT=120 LEAN_MEM_MB=4096 '$HERE/lean-guard' \"\$AUD\" 2>&1)
echo \"\$OUT\"
rm -f \"\$AUD\" \"\${AUD%.lean}.olean\"
N=\$(echo \"\$OUT\" | grep -cF \"depends on axioms: [propext, Classical.choice, Quot.sound]\" || true)
[ \"\$N\" -eq 12 ] || { echo \"AXIOM AUDIT FAILED: \$N/12 clean\"; exit 1; }
" || { echo FAIL; exit 1; }
echo " L_val axiom-clean"
echo ""
echo "SCALAR LAYER COMPLETE: add, sub, mul (Montgomery reduction, double round through RR) proven mod ; aggregate certificate scalarImplementation kernel-audited."