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saymrwulf
7dff4157a2
Proofs/ScalarAddSpec.lean, axiom-clean, no sorry: - add_loop_spec: the 5-limb carry loop unrolled (same skeleton as the proven conditional-add-L chain, with b's limbs in place of L's constants); per-limb equations r_i + 2^52*g_(i+1) = a_i + b_i + g_i. - add_val_spec: denote(add a b) = denote a + denote b in ZMod l for limb-bounded canonical inputs. Composition: add_telescope lifts the carry equations to scLimbs sum + 2^260*g5 = scVal a + scVal b; canonicity (a,b < l < 2^253) forces g5 = 0; the trailing sub(sum, L) goes through sub_val_spec with subtrahend L — enabled by weakening sub_val_spec's hypothesis from scVal b < l to scVal b <= l (the gamma5=1 forcing argument only needs <=), since scVal L = l exactly. denote L = 0 in ZMod l closes it. check-scalar.sh: ScalarAddSpec in manifest + audit (5/5 clean), button green at the re-budgeted 300s/4096MB caps. With sub (previous commit): the scalar layer's + and - are both fully verified against dalek's own extraction. Remaining: x3 fork port, Montgomery mul/reduce (kernel frontier). Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
43 lines
2.2 KiB
Bash
Executable file
43 lines
2.2 KiB
Bash
Executable file
#!/usr/bin/env bash
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# Scalar-layer check (Scalar52 arithmetic mod ℓ). Compiles the gen model + the
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# proven foundation. add/sub (Range-loop reductions) and the Montgomery mul
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# path are in progress — see README. Guarded compiles throughout.
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set -uo pipefail
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source ~/aeneas-toolchain/env.sh
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HERE="$(cd "$(dirname "$0")" && pwd)"
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AENEAS_LEAN="$AENEAS_HOME/backends/lean"
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GEN=(CurveScalar/TypesExternal CurveScalar/Types CurveScalar/FunsExternal CurveScalar/Funs)
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PROOFS=(ScalarDenote ScalarLoop ScalarSubSpec ScalarAddSpec)
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echo "=== stub/axiom audit ==="
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grep -rnE '^(private |protected |noncomputable )*axiom ' "$HERE"/Proofs/Scalar*.lean 2>/dev/null && { echo "axiom under Proofs/"; exit 1; }
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echo " clean"
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echo "=== compile (guarded) ==="
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cd "$AENEAS_LEAN"
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lake env bash -c "
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set -uo pipefail
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cd '$HERE/gen' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD:$HERE\"
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for m in ${GEN[*]}; do echo \" · gen \$m\"; LEAN_TIMEOUT=300 LEAN_MEM_MB=6144 '$HERE/lean-guard' \"\$m.lean\" || exit 1; done
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cd '$HERE'
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for m in ${PROOFS[*]}; do echo \" · proof \$m\"; LEAN_TIMEOUT=300 LEAN_MEM_MB=4096 '$HERE/lean-guard' \"Proofs/\$m.lean\" || exit 1; done
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" || { echo FAIL; exit 1; }
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echo "=== Phase 3: axiom audit (kernel-level) ==="
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cd "$AENEAS_LEAN"
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lake env bash -c "
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set -uo pipefail
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export LEAN_PATH=\"\$LEAN_PATH:$HERE/gen:$HERE\"
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cd '$HERE'
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AUD=\$(mktemp '$HERE/.audit-scalar-XXXX.lean')
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{ echo 'import Proofs.ScalarDenote'; echo 'import Proofs.ScalarSubSpec'; echo 'import Proofs.ScalarAddSpec'; echo '#print axioms ScalarProofs.L_val'
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echo '#print axioms ScalarProofs.sub_loop_spec'
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echo '#print axioms ScalarProofs.cond_add_l_one_spec'; echo '#print axioms ScalarProofs.sub_val_spec'; echo '#print axioms ScalarProofs.add_val_spec'; } > \"\$AUD\"
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OUT=\$(LEAN_TIMEOUT=120 LEAN_MEM_MB=4096 '$HERE/lean-guard' \"\$AUD\" 2>&1)
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echo \"\$OUT\"
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rm -f \"\$AUD\" \"\${AUD%.lean}.olean\"
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N=\$(echo \"\$OUT\" | grep -cF \"depends on axioms: [propext, Classical.choice, Quot.sound]\" || true)
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[ \"\$N\" -eq 5 ] || { echo \"AXIOM AUDIT FAILED: \$N/5 clean\"; exit 1; }
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" || { echo FAIL; exit 1; }
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echo " L_val axiom-clean"
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echo ""
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echo "SCALAR FOUNDATION: gen compiles; denotation + group-order constant (L = ℓ) proven."
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