12 KiB
Known gaps and scope boundaries (honest ledger)
Numbering note (2026-07-19): "paper §N" references in this ledger use the archived system report's numbering ("The Lean Transparency Log", the v0.2 draft archived in the pacta repository's git history), which this corpus was built against. The current paper at /paper has a different structure; in particular its §5.3/§5.4 are unrelated to the §5.3/§5.4 cited in gap 14/15 below.
Deliberate, documented, and none silent. Reviewers should verify this list is COMPLETE, not merely that the items are acceptable.
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SHA-256 is opaque — the single boundary axiom (
LTLAcc.sha256), by design identical to the paper's posture: soundness theorems construct collisions, never assume collision resistance. -
No consistency-completeness theorem (honest ConsRec acceptance). Matches the paper (its Theorem 1 is inclusion-only); honest consistency behavior is covered by the fidelity harness's honest cases (within the 230,016-case consistency agreement with the deployed verifier).
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Lemma 2 is mechanized as specializations, not as one general theorem. The paper's Lemma 2 is a single statement quantified over an abstract hash-fold
Fand a connected subtreeS. The corpus has no hash-fold datatype/predicate; it proves the needed instances directly — whole-tree (extractMTH_correct), ConsRec (consRecBinding), inclusion (extractIncl_correct), and the width fact (hnode_preimage_inj). These suffice for Theorems 2–3. Two consequences: (a) the abstract lemma itself is not a mechanized object; (b) the path-instance receipt-uniqueness forRoot(removed with the vacuousroot_binding) is not restored — optional, unused. Any paper claim that "Lemma 2 is mechanized" must read "its specializations sufficient for Theorems 2–3 are mechanized." -
Signature layer abstract — Ed25519 EUF-CMA, the poison/evidence retention state, and transferability of fork evidence (paper Prop 1(2)) are not modeled;
fork_distinctis the Merkle-layer share only. -
Transliteration bridge —
fidelity/lean_defs.pymirrors the Lean definitions by quoted-source inspection (the Lean defs are noncomputable over the opaque hash, so the bridge cannot be #eval'd closed). Same inspection bridge the paper's own harness uses. -
Proposition 2 (verdict integrity) out of scope — per paper §10's mechanization list (i–v). It is a property of the consumer tooling's construction, enforced and regression-tested in the pacta repo.
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Multi-step pin monotonicity — mechanized per-step (
pinAccept_monotone); the paper's multi-step chain is its reflexive-transitive iterate, not separately mechanized. -
Process history (candor): three cone pins were guessed (not read) during S5.3–S6 and the audit's failure went unnoticed until S7 because green was claimed from tailed output rather than the exit code. No theorem was affected (kernel-checked throughout); pins were corrected, the audit surface defined, and the standing rule is now: exit code + ALL GREEN, cones read from #print axioms only.
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Asymptotic cost not mechanized. Paper Theorems 2 and 3 assert the extractors run in
O(n)/O(n₁)hash evaluations. The mechanization proves functional correctness of the named extractors only — no cost semantics, recurrence, or computability-after-hash-instantiation. (The extractors arenoncomputableover the opaquesha256.) -
Pin-store initialization from the empty pin not modeled, and
pin_prefix_correctassumes0 < n. Trust-on-first-use / the size-0 initial state is a separate operation; the theorems cover transitions from a positive-size pin. (Related to gap 7's per-step scoping.) -
acceptIncl now named (was review F1). The consumer's inclusion acceptance
m < n ∧ Root … = some ris now the Lean objectacceptIncl, withacceptIncl_complete/acceptIncl_soundrouting completeness/soundness through it, and the fidelity harness exercises the out-of-range families (m ≥ n).Rootalone still accepts out-of-rangem; that is by design (it is the reconstruction, not the accept predicate). -
Audit-gate lineage (candor; was round-2 GPT H1 / Claude NEW-1, both round-1 "fail-closed" claims were overclaims). The round-2 coverage gate enumerated declarations with a source regex and was evadable (attributes, indentation, private/protected,
instance, nested-namespace basename collisions). Round 3 replaced it with an environment-derived inventory (Proofs/Inventory.lean+inventory-allowlist.txt, fully-qualified names, no filtering) andselftest_audit.sh, which runs the published evasion table plus a namespace collision, an axiom smuggle, a stale-entry case, and two unmanifested-module cases against the exact production gate. Residual honesty: the inventory sees what the compiled environment contains; it cannot see source that is never compiled (which the dead-file checks cover) or defeat a hostile Lean toolchain. -
Review-kit fidelity target was not self-contained in round 2 (GPT H2: missing load-time imports made
run_fidelity.pyunrunnable from the kit). Round 3 ships the complete stdlib-only import closure ofpacta.transparency, content-addressed against pacta commit3d81d53, plus the clean-extraction transcript with exit code. -
Deployed
verify_consistencyaccepted lied-size proofs the mechanizedConsRecrejects — finite pinned family, no global inclusion relation claimed. [CLOSED 2026-07-23 — see closure note at the end of this item.] (round-3 Claude addendum F1*, reproduced by the operator against deployed pacta). Witness: for the honest proof P between sizes 2→3,verify_consistency(1, 3, R2, R3, P)returns True — a semantically false claim ("R2 is the root of a size-1 prefix") — whileConsRecrejects; 3,405 such divergences exist for n < 60, ALL one-sided (the mechanized model never accepts anything the deployed verifier rejects; inclusion shows zero divergences under identical abuse). Mechanism: when the claimed old size is a power of two, the deployed iterative verifier (an RFC 9162-style loop, but see root cause) seeds the walk with the old root and uses the sizes only as bit-navigation state, so several size claims navigate one proof identically. (Root cause, identified at closure: the deployed verifier omitted RFC 9162 §2.1.4.2 Step 7's terminalsn == 0condition; see the closure note below.) Consequences: (a) fidelity between the two consistency verifiers is agreement over the pinned case families, NOT extensional equality — the harness's lied-size family pins the boundary (73,573 cases: lied old size exhaustive for n < 60, lied new size at fixed offsets n−1/n+1/n+7; 3,867 expected divergences, direction asserted one-sided per case); (b) Theorem 3 /acceptCons_soundcover the MECHANIZED accept set. The exhibited divergence is outside the intended pin-store input invariant; applying the mechanized soundness result to the deployed flow therefore additionally ASSUMES that the deployed state machine always binds each root to its authentic size and exposes no alternate invocation path — an invariant that is NOT mechanized in this corpus (gap 15). Where the invariant's witnesses live: paper §5.3 (the signed head binds(n₁, r₁)together under one signature) and §5.4 (the pin(n₀, r₀)comes from the consumer's own store, never from the peer), implemented in the pacta repo atsrc/pacta/sthstore.pyandsrc/pacta/logclient.py— code OUTSIDE the supplied fidelity target (review R4-3/GPT-4). No exploitability against that flow is claimed or ruled out here; assessing it requires the signature/STH layer (gap 4).
CLOSURE (2026-07-23, pacta ddbb5a4). The earlier sentence
"deployed behavior matches upstream RFC 9162 implementations" was
incorrect: the deployed verify_consistency implemented the RFC
9162 §2.1.4.2 bit-navigation loop but omitted its Step 7 terminal
condition that the new-size navigation counter reach zero
(sn == 0). That omission — not any property of RFC 9162 — is the
whole of the divergence: a faithful RFC verifier rejects the same
lied-size family. Restoring the one conjunct removes every divergence
in the pinned 73,573-case family, verified by a new three-way
regression test_consistency_lied_size_three_way_agreement
(deployed verifier / recursive ConsRec model / an independent
faithful RFC 9162 transliteration) over both the honest and lied-size
families. The divergence was originally surfaced by this corpus's own
two-way fidelity harness; the missing third (RFC) oracle is what
assigned blame to the deployed side rather than the model. The
historical divergence remains truthfully recorded in public log entry
13 and is reproducible at the tagged pre-fix commit
vulnerable/sn0-consistency-fd2f6ba; public entry 13, the attested
accumulator commit 172a1d0, and the IACR submission PDF are all
unchanged. Gap 15 (deployment refinement invariant) remains open.
15. Deployment refinement invariant unmechanized (round-4 GPT, its
principal finding — split out from gap 14 because it carries the
deployed-soundness claim). The corpus proves soundness of the
mechanized acceptCons; it does NOT prove the refinement
AuthenticPair(n₀,r₀,D₀) ∧ AuthenticPair(n₁,r₁,D₁) ∧ verify_consistency(…) → acceptCons(…). The operational invariant
(authentic-size/root binding via the signed-head + pin-store flow)
is relied upon but unverified, and the consumer flow implementing it
is not in the supplied fidelity target. Consequently any attestation
of this corpus must be scoped to the MECHANIZED model: "the deployed
consistency verifier is formally verified" is NOT a claim this
corpus supports. Closure paths (roadmap, operator decision, post
paper-freeze): (A) make the deployed verifier adopt
ConsRec-equivalent acceptance; or (B) mechanize the signed-head +
pin-store state machine and prove the refinement; or (C) keep the
boundary and this scoped claim permanently.
16. The statement binding covers identity, not meaning (added
2026-07-28 with check.sh Phase 3d). The coverage gate pins every
constant's name, kind and axiom cone, both directions; Phase 3d
additionally pins every constant's fully-elaborated TYPE and every
definition's fully-elaborated BODY, digest committed as
AUDIT-MANIFEST.txt. What that buys is that the corpus is the one
that was reviewed. What it does NOT buy: (a) whether those
statements say anything worth believing is a question a human
reading STATEMENT-MAP.md answers, not the button; (b) an author
who edits a definition and refreshes the digest in the same commit
passes every phase — the defence is that both changes are visible in
the diff at the pinned commit; (c) proof TERMS are deliberately not
bound, by proof irrelevance, so a proof rewritten to a different term
of the same statement and cone moves nothing.
Worth recording plainly, because it was measured rather than
reasoned: wrapping one branch of pinAccept's body in id (…) is
definitionally equal, compiles, leaves name/kind/type/cone untouched,
and the coverage gate reports GREEN. Only the digest sees it. That is
the exact size of the gap Phase 3d closes, and
selftest_statements.sh case 1 replays it.