mirror of
https://github.com/saymrwulf/fips205-slhdsa-verified.git
synced 2026-09-03 19:53:49 +00:00
mrwulf
e3f68b2473
Two theorems, split into two files (METHOD-4 discipline — each proof a clean
unit). NB: an early single-file/bare-rfl attempt appeared to "OOM at the clamp",
but that memory pressure was a SYMPTOM of the runaway whnf diagnosed below, not
a real memory need — the fixed proofs compile in seconds at the default caps.
fips205.fors_inner_loop_eq (Proofs/ForsInnerSpec.lean): the extracted inner
Merkle auth-path loop for ONE FORS tree (fors_pk_from_sig_free_loop0_loop0)
equals the explicit auth-path fold — at level j set tree height j+1, test bit j
of THIS tree's leaf index indices[i], hash the current node with auth.tree[j] in
the bit order (even: node||auth[j]; odd: auth[j]||node), halving the tree index.
Structurally the XMSS auth-path loop, but the bit source is indices[i]>>j and the
loop returns the (adrs,node) pair. Cone: kernel-3 + verify_mono.oracle.h.
fips205.fors_outer_loop_eq (Proofs/ForsOuterSpec.lean): the extracted outer
per-tree loop (fors_pk_from_sig_free_loop0) equals the explicit K-tree fold — for
each tree i, compute the leaf with F at tree index (i<<a)+indices[i], run the
inner Merkle loop over the A levels, write the result to root[i]. Consumes the
inner loop as an opaque sub-call. Cone: kernel-3 + verify_mono.oracle.{f,h}
(F per leaf; H transitively through the inner loop).
Fidelity review at authorship (three-way, both loops): extracted bodies (gen
Funs.lean 893-933 inner, 954-985 outer) == Rust verify_mono.rs
fors_pk_from_sig_free (verbatim from upstream fors.rs, hash calls -> oracle) ==
FIPS 205 Algorithm 17, incl. the even/odd sibling order and the (i<<a)+indices[i]
leaf index.
Proof: the branched-Merkle recipe (XMSS) for the inner loop (by_cases on the
index bit, pair-bind matcher made concrete via bind_congr+rintro then full simp);
the HT straight-line recipe for the outer loop, adapted (bind_congr-peeled step
lemma + bind_congr x16 induction, both threading the inner-loop sub-call opaquely). loop_unfold_bind / u32_succ
/ fwd_succ / hnext reused verbatim from ChainSpec.
check.sh: PROOFS += ForsInnerSpec, ForsOuterSpec; CERTS += the two fors certs;
audit imports both; check.sh settings unchanged (400s/4096MB). ForsOuterSpec
compiles in 4.4s / 2.4GB after the fix below. check.sh green over ALL SIX
certificates with the axiom audit. README status -> FIVE certificates.
DIAGNOSIS NOTE (honesty): ForsOuterSpec's fors_outer_step first closed with a
bare `rfl`, which whnf'd the whole 16-bind body INCLUDING the inner-loop `loop`
term and hit a DETERMINISTIC 4M-heartbeat timeout (never actually passed — an
earlier "green" reading was a misread wrapper exit code; the real error was
hidden by check.sh piping per-file output to /dev/null). Fix: peel the 16 binds
with bind_congr so the closing rfl only sees the small loop-tail, and close the
post-pair-rintro tail with a full simp (the pair `let` won't iota via simp only).
This is the HtSpec straight-line recipe adapted for a body that nests a loop.
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
106 lines
4.7 KiB
Bash
Executable file
106 lines
4.7 KiB
Bash
Executable file
#!/usr/bin/env bash
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# The one-button claim for this repository (rigor invariant R3).
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# Green output == the full claim. This script is the ONLY source of the
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# word "proven" for this repo.
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#
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# Phase 1 — compile the extracted Lean model (gen/SlhVerify).
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# Phase 2 — compile the proof files (Proofs/).
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# Phase 3 — axiom audit: every certificate's #print axioms cone must be a
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# subset of {propext, Classical.choice, Quot.sound} plus the five
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# SHA-2 hash oracles (the documented boundary) — nothing else.
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set -euo pipefail
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HERE="$(cd "$(dirname "$0")" && pwd)"
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source ~/aeneas-toolchain/env.sh
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AENEAS_LEAN="$AENEAS_HOME/backends/lean"
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TIMEOUT="${LEAN_TIMEOUT:-400}"
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MEM="${LEAN_MEM_MB:-4096}"
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GEN_MODULES=(
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"SlhVerify/TypesExternal"
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"SlhVerify/Types"
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"SlhVerify/FunsExternal"
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"SlhVerify/Funs"
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)
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# Proof files, in dependency order.
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PROOFS=(
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"ChainSpec"
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"WotsSpec"
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"XmssSpec"
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"HtSpec"
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"ForsInnerSpec"
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"ForsOuterSpec"
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)
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# Certificates whose axiom cones are audited, and the allowed extras beyond
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# the three kernel axioms: the five SHA-2 verify-path oracles. A certificate
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# is listed here only once it is genuinely proven.
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CERTS=(
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"fips205.chain_free_loop_eq"
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"fips205.wots_loop1_eq"
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"fips205.xmss_loop_eq"
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"fips205.ht_loop_eq"
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"fips205.fors_inner_loop_eq"
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"fips205.fors_outer_loop_eq"
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)
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ORACLES="verify_mono.oracle.f, verify_mono.oracle.h, verify_mono.oracle.t_l, verify_mono.oracle.t_len, verify_mono.oracle.h_msg"
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ALLOWED="[propext, Classical.choice, Quot.sound, ${ORACLES}]"
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echo "fips205-slhdsa-verified — check"
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echo "==============================="
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# ── Phase 1: model ──────────────────────────────────────────────────────────
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echo "=== Phase 1: compile the extracted model ==="
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cd "$AENEAS_LEAN"
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lake env bash -c "
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set -euo pipefail
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cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\"
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compile() { echo \" · \$1\"; LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' \"\${1}.lean\" >/dev/null || { echo \"FAIL: \$1\"; exit 1; }; }
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for m in ${GEN_MODULES[*]}; do compile \"gen/\$m\"; done
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"
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# ── Phase 2: proofs ─────────────────────────────────────────────────────────
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echo "=== Phase 2: compile the proofs ==="
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cd "$AENEAS_LEAN"
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lake env bash -c "
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set -euo pipefail
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cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\"
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compile() { echo \" · \$1\"; LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' \"Proofs/\${1}.lean\" >/dev/null || { echo \"FAIL: Proofs/\$1\"; exit 1; }; }
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for m in ${PROOFS[*]}; do compile \"\$m\"; done
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# no dead proof files: everything under Proofs/ must be in the manifest
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for f in Proofs/*.lean; do b=\$(basename \"\$f\" .lean)
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case \" ${PROOFS[*]} \" in *\" \$b \"*) ;; *) echo \"DEAD FILE: Proofs/\$b.lean not in manifest\"; exit 1 ;; esac
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done
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"
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# ── Phase 3: axiom audit ────────────────────────────────────────────────────
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echo "=== Phase 3: axiom audit (cone ⊆ kernel-3 + 5 oracles) ==="
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cd "$AENEAS_LEAN"
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AUD="$HERE/Proofs/.audit.lean"
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{ echo "import Proofs.ChainSpec"; echo "import Proofs.WotsSpec"
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echo "import Proofs.XmssSpec"; echo "import Proofs.HtSpec"
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echo "import Proofs.ForsInnerSpec"; echo "import Proofs.ForsOuterSpec"
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for c in "${CERTS[@]}"; do echo "#print axioms $c"; done
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} > "$AUD"
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OUT=$(lake env bash -c "cd '$HERE' && export LEAN_PATH=\"\$LEAN_PATH:\$PWD/gen:\$PWD\" && LEAN_TIMEOUT=$TIMEOUT LEAN_MEM_MB=$MEM '$HERE/lean-guard' 'Proofs/.audit.lean'" 2>&1)
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rm -f "$AUD"
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fail=0
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for c in "${CERTS[@]}"; do
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line=$(echo "$OUT" | grep -F "'$c' depends on axioms:" || true)
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if [ -z "$line" ]; then echo " ✗ $c — no axiom report"; fail=1; continue; fi
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cone=$(echo "$line" | sed "s/.*depends on axioms: //")
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# every axiom in the cone must be in ALLOWED
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bad=$(echo "$cone" | tr -d '[]' | tr ',' '\n' | sed 's/^ *//;s/ *$//' | while read -r ax; do
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[ -z "$ax" ] && continue
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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
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*" $ax "*) ;; *) echo "$ax" ;;
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esac
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done)
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if [ -n "$bad" ]; then echo " ✗ $c — DISALLOWED axioms: $bad"; fail=1
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else echo " ✓ $c cone ⊆ allowed"; fi
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done
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[ "$fail" = 0 ] || { echo "AXIOM AUDIT FAILED"; exit 1; }
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echo
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echo "ALL GREEN — model compiles, proofs compile, every certificate cone is"
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echo "the three kernel axioms plus (at most) the SHA-2 hash oracles."
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echo "Certificates proven: ${CERTS[*]}"
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