fips205-slhdsa-verified/verification/check.sh
mrwulf c28effd85e phase 2: INPUT-PREP — base_2b outer-loop fidelity (Algorithm 4)
fips205.base2b_outer_loop_eq (Proofs/InputPrepSpec.lean): the extracted
digit-writing outer loop (helpers.base_2b_loop0) equals the explicit fold that,
for each output index, runs the inner `while bits < b` accumulation loop
(base_2b_loop0_loop0, consumed as an OPAQUE sub-call — same treatment as
ht/fors give their sub-loops) then writes baseb[out] = (total >> bits) &
(u32::MAX >> (32-b)). Cone EXACTLY [propext, Classical.choice, Quot.sound] —
kernel-3, no oracle (pure bit/byte digit extraction).

This completes the input-prep layer's named milestone (to_int, to_byte,
base_2b) — all four prep certs kernel-3 clean. base_2b's inner while-loop
VALUE fidelity (a fuel-induction value-level statement) is deliberately NOT
claimed here; the outer loop pins the digit-writing structure with the inner
accumulation threaded opaquely, exactly as every other layer treats its
sub-loops.

Proof: the ForsOuterSpec straight-line-nesting-a-loop recipe. The step lemma
PEELS the inner-loop triple sub-call with `apply bind_congr; rintro
⟨inn1,bits1,total1⟩` then closes the small tail with full simp — a bare rfl
would whnf the nested `loop` term and blow the heartbeat budget (the drill-9
lesson, applied deliberately). Compiled first try.

check.sh: CERTS += fips205.base2b_outer_loop_eq. Green over ALL TEN
certificates at default caps.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-24 08:59:09 +02:00

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#!/usr/bin/env bash
# The one-button claim for this repository (rigor invariant R3).
# Green output == the full claim. This script is the ONLY source of the
# word "proven" for this repo.
#
# Phase 1 — compile the extracted Lean model (gen/SlhVerify).
# Phase 2 — compile the proof files (Proofs/).
# Phase 3 — axiom audit: every certificate's #print axioms cone must be a
# subset of {propext, Classical.choice, Quot.sound} plus the five
# SHA-2 hash oracles (the documented boundary) — nothing else.
set -euo pipefail
HERE="$(cd "$(dirname "$0")" && pwd)"
source ~/aeneas-toolchain/env.sh
AENEAS_LEAN="$AENEAS_HOME/backends/lean"
TIMEOUT="${LEAN_TIMEOUT:-400}"
MEM="${LEAN_MEM_MB:-4096}"
GEN_MODULES=(
"SlhVerify/TypesExternal"
"SlhVerify/Types"
"SlhVerify/FunsExternal"
"SlhVerify/Funs"
)
# Proof files, in dependency order.
PROOFS=(
"ChainSpec"
"WotsSpec"
"XmssSpec"
"HtSpec"
"ForsInnerSpec"
"ForsOuterSpec"
"InputPrepSpec"
)
# Certificates whose axiom cones are audited, and the allowed extras beyond
# the three kernel axioms: the five SHA-2 verify-path oracles. A certificate
# is listed here only once it is genuinely proven.
CERTS=(
"fips205.chain_free_loop_eq"
"fips205.wots_loop1_eq"
"fips205.xmss_loop_eq"
"fips205.ht_loop_eq"
"fips205.fors_inner_loop_eq"
"fips205.fors_outer_loop_eq"
"fips205.to_int_loop_eq"
"fips205.to_byte_loop_eq"
"fips205.wots_csum_loop_eq"
"fips205.base2b_outer_loop_eq"
)
ORACLES="verify_mono.oracle.f, verify_mono.oracle.h, verify_mono.oracle.t_l, verify_mono.oracle.t_len, verify_mono.oracle.h_msg"
ALLOWED="[propext, Classical.choice, Quot.sound, ${ORACLES}]"
echo "fips205-slhdsa-verified — check"
echo "==============================="
# ── Phase 1: model ──────────────────────────────────────────────────────────
echo "=== Phase 1: compile the extracted model ==="
cd "$AENEAS_LEAN"
lake env bash -c "
set -euo pipefail
cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\"
compile() { echo \" · \$1\"; LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' \"\${1}.lean\" >/dev/null || { echo \"FAIL: \$1\"; exit 1; }; }
for m in ${GEN_MODULES[*]}; do compile \"gen/\$m\"; done
"
# ── Phase 2: proofs ─────────────────────────────────────────────────────────
echo "=== Phase 2: compile the proofs ==="
cd "$AENEAS_LEAN"
lake env bash -c "
set -euo pipefail
cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\"
compile() { echo \" · \$1\"; LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' \"Proofs/\${1}.lean\" >/dev/null || { echo \"FAIL: Proofs/\$1\"; exit 1; }; }
for m in ${PROOFS[*]}; do compile \"\$m\"; done
# no dead proof files: everything under Proofs/ must be in the manifest
for f in Proofs/*.lean; do b=\$(basename \"\$f\" .lean)
case \" ${PROOFS[*]} \" in *\" \$b \"*) ;; *) echo \"DEAD FILE: Proofs/\$b.lean not in manifest\"; exit 1 ;; esac
done
"
# ── Phase 3: axiom audit ────────────────────────────────────────────────────
echo "=== Phase 3: axiom audit (cone ⊆ kernel-3 + 5 oracles) ==="
cd "$AENEAS_LEAN"
AUD="$HERE/Proofs/.audit.lean"
{ echo "import Proofs.ChainSpec"; echo "import Proofs.WotsSpec"
echo "import Proofs.XmssSpec"; echo "import Proofs.HtSpec"
echo "import Proofs.ForsInnerSpec"; echo "import Proofs.ForsOuterSpec"; echo "import Proofs.InputPrepSpec"
for c in "${CERTS[@]}"; do echo "#print axioms $c"; done
} > "$AUD"
OUT=$(lake env bash -c "cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\" && LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' 'Proofs/.audit.lean'" 2>&1)
rm -f "$AUD"
fail=0
for c in "${CERTS[@]}"; do
line=$(echo "$OUT" | grep -F "'$c' depends on axioms:" || true)
if [ -z "$line" ]; then echo "$c — no axiom report"; fail=1; continue; fi
cone=$(echo "$line" | sed "s/.*depends on axioms: //")
# every axiom in the cone must be in ALLOWED
bad=$(echo "$cone" | tr -d '[]' | tr ',' '\n' | sed 's/^ *//;s/ *$//' | while read -r ax; do
[ -z "$ax" ] && continue
case " propext Classical.choice Quot.sound verify_mono.oracle.f verify_mono.oracle.h verify_mono.oracle.t_l verify_mono.oracle.t_len verify_mono.oracle.h_msg " in
*" $ax "*) ;; *) echo "$ax" ;;
esac
done)
if [ -n "$bad" ]; then echo "$c — DISALLOWED axioms: $bad"; fail=1
else echo "$c cone ⊆ allowed"; fi
done
[ "$fail" = 0 ] || { echo "AXIOM AUDIT FAILED"; exit 1; }
echo
echo "ALL GREEN — model compiles, proofs compile, every certificate cone is"
echo "the three kernel axioms plus (at most) the SHA-2 hash oracles."
echo "Certificates proven: ${CERTS[*]}"