betrusted-ed25519-verified/verification/selftest-axgate.sh
mrwulf 8d431c19da verification: kernel-side axiom-declaration gate (Phase 2b) + self-test
Phase 1's anti-smuggling check reads source text. Measured today on Lean
v4.30.0-rc2, four distinct declarations compile cleanly and slip past its
anchored pattern:

    ` axiom cheat : ...`         one leading space
    `@[simp] axiom cheat : ...`  line starts with the attribute
    `unsafe axiom cheat : ...`   `unsafe` absent from the modifier list
    `axiom` <newline> `  cheat`  no space follows the keyword

Any of them yields a repository that proves False while the button prints
ALL GREEN. Only the tab variant is blocked, and by Lean, not by us.

Hardening the pattern would fix the exhibited syntax rather than the class,
which is the mistake this estate has made before. Phase 2b stops parsing text
and asks the kernel instead: it reads every compiled Proofs/*.olean with
readModuleData and rejects any declaration that is an axiom.

Design notes:
  - reads compiled artifacts rather than importing the modules, because
    Proofs.Basic and Proofs.ConstSpecs deliberately reuse `zero_spec` and a
    whole-corpus import is impossible by construction;
  - membership is self-deriving from the filesystem, so Scalar* and
    AxiomCheck are covered too — both are skipped by the CERTS audit and by
    the dead-file gate;
  - fails closed on absence: a missing .olean would make the scan vacuous, so
    the count of compiled modules must equal the count of shipped sources;
  - removes its temp source AND artifact on both paths, since a bare `rm`
    after the call never runs under `set -e` when the gate goes red — exactly
    how this repo accumulated 101 orphan .olean files;
  - ~3 s for the whole corpus, against ~53 s for one module-importing run.

Phase 1's grep stays as a fast first line of defence. Phase 2b is the gate
that is load-bearing.

selftest-axgate.sh attacks the shipping gate, lifted out of check.sh at run
time rather than copied. It asserts the specific diagnostic, so a rejection
for an unrelated reason fails too, and it was itself negative-tested: with
the gate's throwError removed, the self-test goes red on exactly that case.

No proof, statement, specification or certificate is touched. No attested
commit is altered — the log binds specific commit hashes, all of which remain
ancestors of HEAD.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-07-28 18:24:18 +02:00

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#!/usr/bin/env bash
# ─────────────────────────────────────────────────────────────────────────────
# selftest-axgate.sh — adversarial self-test for check.sh Phase 2b.
#
# An untested guard is decoration. This script breaks the thing Phase 2b
# guards and asserts the gate goes red FOR THE STATED REASON — a rejection by
# some other gate, or with some other message, fails the test too.
#
# It extracts Phase 2b out of check.sh at run time, so it attacks THE SHIPPING
# GATE rather than a copy that can drift away from it.
#
# Requires: Proofs/*.olean already built (run check.sh first, or any prior
# green build). Takes ~10 s; compiles one tiny throwaway module.
# ─────────────────────────────────────────────────────────────────────────────
set -uo pipefail
source ~/aeneas-toolchain/env.sh
HERE="$(cd "$(dirname "$0")" && pwd)"
AENEAS_LEAN="$AENEAS_HOME/backends/lean"
TIMEOUT="${LEAN_TIMEOUT:-600}"
export LEAN_MEM_MB="${LEAN_MEM_MB:-8192}"
CORES="${LEAN_MAX_CORES:-0-3}"
ATTACK="$HERE/Proofs/ZZSelftestAttack.lean"
STASH="$(mktemp -d)"
FAILURES=0
cleanup() {
rm -f "$ATTACK" "${ATTACK%.lean}.olean"
[ -f "$STASH/FeQ.olean" ] && mv "$STASH/FeQ.olean" "$HERE/Proofs/FeQ.olean"
rm -rf "$STASH"
rm -f "$HERE"/.axgate-*.lean "$HERE"/.axgate-*.olean
}
trap cleanup EXIT INT TERM
# Phase 2b, lifted verbatim from the shipping button.
DRIVER="$STASH/phase2b.sh"
{
echo 'set -euo pipefail'
echo 'source ~/aeneas-toolchain/env.sh'
echo "HERE=\"$HERE\""
echo 'AENEAS_LEAN="$AENEAS_HOME/backends/lean"'
echo "TIMEOUT=$TIMEOUT; CORES=\"$CORES\""
sed -n '/^# ── Phase 2b/,/^# ── Phase 3/p' "$HERE/check.sh" | sed '$d'
} > "$DRIVER"
if [ "$(wc -l < "$DRIVER")" -lt 40 ]; then
echo "FATAL: could not lift Phase 2b out of check.sh — the phase markers moved."
echo "This self-test must attack the shipping gate; refusing to run against nothing."
exit 1
fi
expect() { # expect <name> <expected-rc> <required-substring>
local name="$1" want_rc="$2" want_txt="$3"
local out rc
out=$(bash "$DRIVER" 2>&1); rc=$?
if [ "$rc" -ne "$want_rc" ]; then
echo " FAIL $name: exit $rc, expected $want_rc"; FAILURES=$((FAILURES+1)); return
fi
if ! grep -qF "$want_txt" <<<"$out"; then
echo " FAIL $name: exit code right but diagnostic wrong (rejected for the wrong reason)"
echo " wanted substring: $want_txt"
echo " got: $(tr '\n' '|' <<<"$out" | cut -c1-300)"
FAILURES=$((FAILURES+1)); return
fi
echo " ok $name"
}
echo "=== selftest-axgate: attacking check.sh Phase 2b ==="
# ── 1. Baseline: the untouched repo must pass, and say how much it covered.
expect "baseline green, coverage reported" 0 "none is an axiom"
# ── 2. The attack Phase 1's grep cannot see: an indented top-level axiom.
# Lean accepts it; the repo then proves False; the source-text gate is blind.
cat > "$ATTACK" <<'EOF'
namespace ZZSelftestAttack
axiom cheat : ∀ (P : Prop), P
theorem repo_proves_false : False := cheat _
end ZZSelftestAttack
EOF
if grep -rnE '^(private |protected |noncomputable )*axiom ' "$HERE"/Proofs/*.lean >/dev/null 2>&1; then
echo " FAIL premise: Phase 1's grep sees the attack — this test no longer tests what it claims"
FAILURES=$((FAILURES+1))
else
echo " ok premise: Phase 1's source-text grep is blind to this attack"
fi
(cd "$AENEAS_LEAN" && lake env bash -c "
set -euo pipefail
cd '$HERE/gen' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD:$HERE\"
cd '$HERE'
LEAN_TIMEOUT=$TIMEOUT LEAN_MAX_CORES=$CORES '$HERE/lean-guard' 'Proofs/ZZSelftestAttack.lean'
") >/dev/null 2>&1 || { echo " FAIL setup: the attack module did not compile"; FAILURES=$((FAILURES+1)); }
expect "indented axiom caught kernel-side" 1 "AXIOM DECLARED under Proofs/"
rm -f "$ATTACK" "${ATTACK%.lean}.olean"
# ── 3. Vacuity: delete a compiled module. "Nothing found" must not pass for
# "nothing wrong" — the gate has to notice it stopped covering something.
mv "$HERE/Proofs/FeQ.olean" "$STASH/FeQ.olean"
expect "missing .olean is a failure, not a vacuous pass" 1 "COVERAGE MISMATCH"
mv "$STASH/FeQ.olean" "$HERE/Proofs/FeQ.olean"
# ── 4. Litter: neither path may leave the temp gate source or its artifact
# behind (this repo accumulated 101 orphan .olean files exactly that way).
if ls "$HERE"/.axgate-* >/dev/null 2>&1; then
echo " FAIL litter: temp gate files survived a run"; FAILURES=$((FAILURES+1))
else
echo " ok no litter left by either the green or the red path"
fi
# ── 5. Restored: the self-test must leave the working tree exactly as found.
DIRT=$(cd "$HERE/.." && git status --porcelain -- verification/Proofs | wc -l)
if [ "$DIRT" -ne 0 ]; then
echo " FAIL restore: $DIRT file(s) under Proofs/ left modified"; FAILURES=$((FAILURES+1))
else
echo " ok working tree restored"
fi
echo ""
if [ "$FAILURES" -eq 0 ]; then
echo "SELFTEST PASSED — Phase 2b rejects what it claims to reject, for the stated reason."
exit 0
fi
echo "SELFTEST FAILED: $FAILURES check(s) did not behave as claimed."
exit 1