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Round-3 verdicts: GPT-5.6 conditionally approves (blockers closed, one portability finding); the Claude reviewer's Socratic addendum produced F1*, the strongest finding of the series — deployed verify_consistency and mechanized ConsRec are NOT extensionally equal. Reproduced exactly (witness verify_consistency(1,3,R2,R3,P(2→3))=True vs ConsRec reject; 3,405 divergences n<60; strictly one-sided; power-of-two seeding mechanism confirmed in source). - KNOWN-GAPS gap 14: witness, mechanism, one-sidedness, and the pinned-pair side condition under which Theorem 3 transfers to the deployed verifier (pacta's pin-store flow supplies it by construction). No pacta code change; deployed behavior matches upstream RFC 9162 implementations. - fidelity: lied-size family — 73,573 boundary cases, 3,867 expected divergences PINNED, one-sided direction asserted per case. Banner rescoped: agreement over pinned families, not extensional equality. - Theorem3.lean: acceptCons_sound (F2) — soundness over the named acceptCons predicate, n₀=0 discharged from the non-prefix premise, size bound derived from acceptance via new consRec_some_le. Cones read from #print axioms; CONES/AxiomCheck/allowlist updated (218 → 222 constants, diff = the two theorems + two generated auxiliaries). - F3/GPT§7: verification/lean-toolchain pin + run_bare.sh (reviewer's standalone runner, plain public lean — verified green: 61 cones, 222 constants, gate green) + AENEAS_ENV override in check.sh and selftest_audit.sh. - F4: awk field-equality replaces regex-with-dots in Phase 3b. - F5: git-tracked .pyc removed (worse than reported — it was in the repo, not just the kit); __pycache__ gitignored; round-4 kit ships a corpus MANIFEST.sha256 + pinned commit (also GPT's governance condition). check.sh exit 0, ATTESTATION GREEN; selftest exit 0, 9/9 + control. Live LTL untouched (12 leaves, bcd15f9d…); attestation still gated on ePrint decision + author review + explicit operator order. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
52 lines
3.5 KiB
Markdown
52 lines
3.5 KiB
Markdown
# ltl-accumulator-verified
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Lean 4 mechanization of the security analysis (§6) of the paper
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"The Lean Transparency Log" (https://ltl.zkdefi.org/paper): the Merkle
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accumulator's own correctness and soundness theorems, kernel-checked, in
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the same discipline as the four `*-ed25519-verified` subject corpora.
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## Status: **FROZEN for external review** (corpus complete)
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All paper-§10 mechanization targets are kernel-checked; the audit surface
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is defined and green (`verification/check.sh`, exit 0). See
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[STATEMENT-MAP.md](STATEMENT-MAP.md) for the paper↔Lean review surface and
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[KNOWN-GAPS.md](KNOWN-GAPS.md) for the honest scope ledger.
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Revised after review round 1 (GPT-5.6 + second Claude) and round 2:
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the audit surface is now an environment-derived inventory
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(`Proofs/Inventory.lean` + pinned allowlist, self-tested by
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`selftest_audit.sh`), the review kit's fidelity target is
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self-contained, `acceptIncl` routes Theorems 1–2, fidelity families
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extended (230,271 / 230,016). No changes until the external review
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completes. The finished certificates' attestation into the LTL is a
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separate, explicitly-authorized operator decision.
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| layer | content | status |
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|---|---|---|
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| L1 | bytes, hleaf/hnode, domain separation (Lemma 1) | **done** (domsep: axiom-free) |
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| L2 | MTH, Root, ConsRec definitions + termination | **done** (cones: propext, LTLAcc.sha256, Quot.sound) |
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| L3 | inclusion completeness (Theorem 1) + named acceptance `acceptIncl` | **done** (incl_complete: propext, Classical.choice, LTLAcc.sha256, Quot.sound) |
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| L4 | frontier binding content (Lemma 2) | **done as specializations** — inlined in the extractor walk (`extractIncl`), whole-tree (`extractMTH`), ConsRec (`consRecBinding`); the standalone `Root` receipt-uniqueness instance was deleted with the vacuous `root_binding` in S3.5 and deliberately NOT restored (optional, unused — KNOWN-GAPS gap 3) |
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| L5 | inclusion soundness = EXPLICIT extractor `extractIncl` (Theorem 2) | **done, non-vacuous** |
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| L6a | descent extractor `extractMTH` (Theorem 3 step 3 = Lemma 2, whole-tree instance) | **done, non-vacuous** |
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| L6b | Theorem 3 (consistency soundness): `consRecBinding` (steps 1–2) + `extractCons`/`extractCons_correct` (+ `_paper` at the paper's exact quantifiers) | **done, non-vacuous** |
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| L6c | pin-store state machine safety (Proposition 1): `pinAccept_monotone`, `pin_prefix_correct`, `fork_distinct` | **done, non-vacuous** (per-step; multi-step chain = gap 7) |
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## Discipline (identical to the subject corpora)
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- `verification/Proofs/` contains ZERO `axiom` declarations; the single
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sanctioned axiom site is `verification/gen/` — here, one opaque
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function: SHA-256. The theorems are constructive collision extractors,
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so collision resistance is never assumed, only interpreted.
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- `verification/check.sh` is THE button: compiles every file through
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`lean-guard` (memory cap, core pinning, timeout, single-flight lock)
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and axiom-audits every certificate against its documented exact cone.
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- Reviewers without the operator toolchain: `verification/run_bare.sh`
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compiles, axiom-audits, and inventory-gates the corpus with a plain
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public `lean` (version pinned in `verification/lean-toolchain`); the
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operator path is overridable via `AENEAS_ENV`.
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- Expected boundary: `propext, Classical.choice, Quot.sound` plus
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`LTLAcc.sha256` for hash-touching certificates — documented per
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certificate in `check.sh`, audited both directions.
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The finished certificates are destined for the LTL itself as attestation
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leaves: the log carrying kernel-checked proofs of its own machinery.
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