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https://github.com/saymrwulf/fips205-slhdsa-verified.git
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mrwulf
0fa36c7258
fips205.xmss_loop_eq (Proofs/XmssSpec.lean): the extracted xmss_pk_from_sig_free_loop equals the explicit Merkle-path fold — at step k set the tree height to k+1, test bit k of the leaf index; even bit: tree_index := i/2 and H(node || auth[k]); odd bit: tree_index := (i-1)/2 and H(auth[k] || node). This pins the sibling hash ORDER, the address schedule, and the auth-path indexing of Merkle verification. Exact cone: [propext, Classical.choice, Quot.sound, verify_mono.oracle.h] — the first certificate where H enters; F does not (the loop runs above the WOTS+ computation). check.sh green over all three certificates. Fidelity review at authorship (three-way): extracted body (gen Funs.lean 761-801) == Rust verify_mono.rs xmss_pk_from_sig_free (verbatim from upstream xmss.rs, hash calls -> oracle) == FIPS 205 Algorithm 10, incl. the per-branch operation order (even: node-slice then auth[k]; odd: auth[k] then node-slice) and the k+1 tree height. Proof: the chain/wots recipe on a u32 range — u32_succ / fwd_succ / hnext / loop_unfold_bind reused VERBATIM from ChainSpec. New layer lesson (the one novel obstruction, on pattern): the loop body BRANCHES on the index bit, so the step lemma splits with by_cases + if_pos/if_neg; and the get_tree_index pair-bind needs its matcher made concrete before the tail normalizes — bind_congr + rintro to fix the scrutinee, then FULL simp (only full simp iota-reduces the pair matcher; simp only will not) with bind_assoc + bind_ok + the loop def closes each branch. The certificate's own induction threads the IH under the opaque binds of BOTH branches with bind_congr, per branch, ending exact ih. check.sh: PROOFS += XmssSpec, CERTS += fips205.xmss_loop_eq, audit imports XmssSpec (self-test structure anchors untouched). README: status three certificates, Algorithm numbering per upstream comments (wots=8, xmss=10). Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
99 lines
4.5 KiB
Bash
Executable file
99 lines
4.5 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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)
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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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)
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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="$HERE/Proofs/.audit.lean"
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{ echo "import Proofs.ChainSpec"; echo "import Proofs.WotsSpec"
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echo "import Proofs.XmssSpec"
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for c in "${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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