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No theorem was wrong; every fix is spec-surface, audit-mechanism, docs, or harness coverage. Changes: LEAN (Claude F1, GPT M4): - acceptIncl: the consumer's inclusion accept (m<n ∧ Root=some r) is now a named object, not just a theorem hypothesis. Root alone accepts out-of-range m; acceptIncl pins the guard. - acceptIncl_complete / acceptIncl_sound: route Thm 1/2 through it. - extractCons_correct_paper: Thm 3 at the paper's exact quantifiers (n₀≤n₁, no separate 0<n₀; n₀=0 discharged since D₀=[]=take 0). SCRIPT (GPT H1/H2, Claude F3): - Phase 3b: fail-closed audit-surface COVERAGE — every named decl under Proofs/ and gen/ must be in CONES or a documented EXCLUDE (sha256, Bytes); anonymous gen instances count-pinned; every CONES key must be queried by AxiomCheck (no pin-but-never-check). Tested: an unclassified theorem now makes the button exit 1. - H2: distinct markers — LEAN GREEN always, ATTESTATION GREEN only when fidelity actually ran; SKIP/absent-pacta no longer emit the strong marker. Attestation gate keys on ATTESTATION GREEN. - Phase 0: orphan-olean guard (every Proofs/*.olean needs a sibling .lean); deleted 6 orphans; untracked all *.olean/.lake from git and gitignored them (root cause of the F3 tarball leak). HARNESS (Claude F1, GPT M3): - added out-of-range families (m≥n, m>n, n₀>n₁, n₀=0); re-pinned counts 230,271 / 230,016 (match the reviewer's independent RFC difftest exactly); narrowed 'exhaustive' wording to the tested domain. DOCS: README stale rows fixed (freeze banner no longer contradicts table); KNOWN-GAPS gap 3 reworded (general Lemma 2 = specializations), +gaps 9 (cost), 10 (pin init), 11 (acceptIncl resolved); STATEMENT-MAP +acceptIncl rows, +Lemma-2-general note, +constant-vs-property clarification for §10(i). Button: EXIT 0, coverage complete, ATTESTATION GREEN, 230,271/230,016. 56 pinned cones over an ENFORCED surface. LTL untouched (12, bcd15f9d). Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
46 lines
3.1 KiB
Markdown
46 lines
3.1 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. Revised after review round 1 (GPT-5.6 + second Claude): audit surface
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now fail-closed enforced, acceptIncl named, fidelity families extended
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(230,271 / 230,016), docs reconciled. No changes
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until the external review round (second model instance + GPT + author)
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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) | **done** (incl_complete: propext, Classical.choice, LTLAcc.sha256, Quot.sound) |
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| L4 | frontier binding content (Lemma 2) | **inlined in the extractor walk** (extractIncl); standalone receipt-uniqueness theorem queued for S4 restoration in extractor form |
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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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| — | Lemma 2, PATH instance (receipt-uniqueness of `Root`): deleted with the vacuous `root_binding` in S3.5 and **not yet restored**; optional, not needed for Theorem 3 |
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| L6b | **Theorem 3 (consistency soundness) DONE** — consRecBinding (steps 1-2) is the kernel-checked link between ConsRec acceptance and extractConsNode's output; extractCons/extractCons_correct (assembly, joins extractMTH); non-vacuity pinned |
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| L6 | pin-store state machine safety (Proposition 1) | pending |
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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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- 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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