ltl-accumulator-verified/STATEMENT-MAP.md
mrwulf 172a1d0653 Round 5 (housekeeping): doc-consistency welded into the button; both round-4 approvals recorded
Round-4 verdicts: Claude reviewer — nothing blocks the freeze, no
remaining findings; GPT-5.6 — approve after minor documentation fixes,
attestation scoped to the mechanized model. This round is those fixes;
no Lean surface changed.

- 218/59 → 222/61 everywhere, and STRUCTURALLY: check.sh Phase 3c
  asserts the audit counts (STATEMENT-MAP + README vs allowlist/CONES)
  and the four fidelity pins (STATEMENT-MAP vs run_fidelity.py
  constants) on every run — stale-count drift is a red button now
  (R4-1, third recurrence of the class).
- Gap 14 reworded to evidence-vs-inference (the invariant "is assumed",
  not "transfers"), witnesses cited (paper §5.3/§5.4; pacta
  sthstore.py/logclient.py — outside the fidelity target). New gap 15:
  deployment refinement invariant unmechanized (GPT's principal
  finding, split out because it carries the deployed-soundness claim).
- Runbook: A1 marked done (both approvals on SD); B2 gains the REQUIRED
  scoped attestation wording (GPT §11) as a gate condition — entry 13
  cannot claim "deployed verifier formally verified".
- run_bare.sh fail-closes on Lean version AND commit (rejection path
  tested with a fake toolchain: FATAL, exit 1).
- Harness: "consistency baseline family" line (GPT §8); gap 14 says
  "fixed offsets n−1/n+1/n+7" (R4-5).
- RESPONSE round 5, incl. refutation of GPT §7 (the target tarball
  demonstrably contains MANIFEST.sha256 + TARGET-PROVENANCE.md; the
  round-5 kit also ships both unpacked as a courtesy).

check.sh exit 0 ATTESTATION GREEN (Phases 0-4 incl. new 3c); selftest
exit 0, 9/9 + control. Live LTL untouched (12 leaves, bcd15f9d…).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-15 09:40:20 +02:00

5.3 KiB
Raw Blame History

Statement map: paper §6 ↔ Lean corpus

The kernel guarantees every proof below; what a reviewer must vet is the statements — that each Lean theorem says what the paper's item says. This map is the review surface. Paper = "The Lean Transparency Log" (https://ltl.zkdefi.org/paper), §6 and §10 (which scopes the mechanization to items iv).

paper item Lean name file cone
§5.3 split point k (RFC 9162) kbelow + kbelow_pos/lt, le_two_kbelow, kbelow_pow2 (2^j = k < n ≤ 2^{j+1} pins k uniquely) Basic no hash axiom
§5.3 MTH MTH Basic sha256
§5.3 Path Path Completeness sha256
§5.3 Root (App. B) Root (Option = rejection) Basic sha256
§5.3 inclusion accept acceptIncl (= m < n ∧ Root … = some r); acceptIncl_complete, acceptIncl_sound route Thm 1/2 through it Basic, Completeness, Extract sha256 (+choice)
Lemma 2 (general abstract form) not mechanized as one theorem — proved as specializations (see KNOWN-GAPS gap 3); the row below and the Lemma-2 rows are those instances
§5.3 ConsRec ConsRec (+ machine-checked base-refactor equivalences consRec_base_true_eq/false_eq) Basic, Refactor sha256
Lemma 1 (domain separation) domsep Basic axiom-free
Theorem 1 (inclusion completeness) incl_complete Completeness sha256 (+choice)
Lemma 2, width fact ("65-byte preimages") Hash = length-32 subtype; hnode_preimage_inj gen, Basic propext
Lemma 2, whole-tree instance extractMTH + extractMTH_correct Descent sha256 (+choice)
Lemma 2, ConsRec instance (Thm 3 steps 12) consRecBinding Binding3 sha256 (+choice)
Theorem 2 (inclusion soundness, explicit 𝓔) extractIncl + extractIncl_correct Extract sha256 (+choice)
Theorem 3 (consistency soundness, explicit 𝓔) extractCons + extractCons_correct; extractCons_correct_paper at the paper's exact quantifiers (n₀=0 discharged); acceptCons_sound routes it through the named acceptCons predicate (size bound derived from acceptance via consRec_some_le). Covers the MECHANIZED accept set; transfer to the deployed verifier is conditional on the pinned-pair side condition of gap 14 Theorem3 sha256 (+choice)
Prop 1(1) (pin monotonicity + prefix) pinAccept, pinAccept_monotone, pin_prefix_correct PinStore sha256 (+choice)
Prop 1(2), Merkle share fork_distinct (different roots ⇒ different content); transferability = signature layer, out of scope PinStore sha256
non-vacuity guards (anti-pigeonhole) extractIncl_nonvacuous, extractMTH_nonvacuous, extractCons_nonvacuous, pin_prefix_nonvacuous Extract/Descent/Theorem3/PinStore sha256
definition fidelity vs deployed verifier fidelity/ harness: MTH==merkle_root, Path==inclusion_proof, verifier agreement 230,271 inclusion + 230,016 consistency over the pinned case families — not extensional equality: the lied-size family (73,573 cases) pins the known one-sided divergence of gap 14 (3,867 expected, deployed-accepts-only, direction asserted) fidelity (testing)

Note on "assumption-free" (paper §10(i)): incl_complete's cone lists LTLAcc.sha256, but the theorem assumes no property of it — it merely mentions the opaque constant. Constant-dependence is not property-assumption; the soundness theorems likewise carry sha256 without assuming collision resistance.

Design invariant of every soundness statement: the collision is the output of a named extractor function and correctness is a claim about that output. A bare ∃ x y, x ≠ y ∧ sha256 x = sha256 y is provable by pigeonhole alone (sha256 maps an infinite domain into the finite 32-byte type), so it carries no cryptographic content. What the guards certify (precisely — round-2 M3): each named extractor does not return a collision on at least one canonical honest input, which rules out the degeneration where the conclusion is a globally inhabited bare collision existential. They do NOT establish logical dependence on every listed hypothesis, nor that no other classical argument could reach the conclusion on some restricted domain.

Audit surface (enforced by verification/check.sh, exit 0 = green): the FULL compiled environment of the corpus modules — 222 constants, read from the Lean environment by Proofs/Inventory.lean (fully qualified names, kinds, axiom cones) and pinned in verification/inventory-allowlist.txt, diffed fail-closed both directions on every run (round-3 replacement for the round-2 source-regex gate, which GPT H1 showed was evadable). The 61 human-reviewed statement cones above are additionally checked via #print axioms and cross-checked against the inventory's independently computed cones. (These two counts, and the fidelity pins in the table above, are asserted against the allowlist/CONES/harness by check.sh Phase 3c on every run — stale-count drift is now a red button, not an erratum: review R4-1, after three consecutive rounds of hand-edit failures.) verification/selftest_audit.sh attacks the gate with nine injection cases (attributed/indented/private/instance declarations, a nested namespace reusing an audited basename, a smuggled axiom, a deleted declaration, and unmanifested Proofs/ and gen/ modules) — each must fail the exact production gate.