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Re-derived S7 as Fable, practicing the standing rule (check exit code + ALL GREEN, not tail). Confirmed committed button genuinely exits 0. FINDING: the cone audit had a COVERAGE gap — 34 of 52 proven objects were pinned; 18 (incl. core defs kbelow/hleaf/hnode and the pin-store defs pinAccept/pinExtract/acceptCons, plus intermediate lemmas) were never cone-audited. Transitively safe (Phase 1 forbids axiom under Proofs/, Phase 2 forbids sorry, universally) — but 'transitively covered' is not good enough for an externally-reviewed corpus. Closed: every proven theorem/def now has its EXACT cone pinned, read from #print axioms (not guessed). Coverage now 52/52, empty unaudited list. Cones of note: hleaf/hnode = [LTLAcc.sha256] only; kbelow and the pure arithmetic/list helpers = no hash axiom; the def-level objects that touch MTH carry the single sha256 boundary. No surprise axioms anywhere. Button verified: EXIT 0, ALL GREEN, FIDELITY GREEN, 164,479/164,224 pinned. LTL untouched. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> |
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| README.md | ||
ltl-accumulator-verified
Lean 4 mechanization of the security analysis (§6) of the paper
"The Lean Transparency Log" (https://ltl.zkdefi.org/paper): the Merkle
accumulator's own correctness and soundness theorems, kernel-checked, in
the same discipline as the four *-ed25519-verified subject corpora.
Status: layer scaffold (work in progress — honest ledger below)
| layer | content | status |
|---|---|---|
| L1 | bytes, hleaf/hnode, domain separation (Lemma 1) | done (domsep: axiom-free) |
| L2 | MTH, Root, ConsRec definitions + termination | done (cones: propext, LTLAcc.sha256, Quot.sound) |
| L3 | inclusion completeness (Theorem 1) | done (incl_complete: propext, Classical.choice, LTLAcc.sha256, Quot.sound) |
| L4 | frontier binding content (Lemma 2) | inlined in the extractor walk (extractIncl); standalone receipt-uniqueness theorem queued for S4 restoration in extractor form |
| L5 | inclusion soundness = EXPLICIT extractor extractIncl (Theorem 2) done, non-vacuous |
|
| L6a | descent extractor extractMTH (Theorem 3 step 3 = Lemma 2, WHOLE-TREE instance) done, non-vacuous |
|
| — | 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 |
|
| L6b | ConsRec binding + Theorem 3 assembly (extractCons) | in progress (S5): stage-1 arithmetic/list infrastructure done (kbelow_prefix_eq, take surgery); stage-1 infra + extractConsNode extractor DEFINED (faithful to ConsRec by inspection — NOT yet machine-checked); consRecBinding PROVEN (Theorem 3 steps 1-2, kernel-checked, no sorry); extractCons assembly (step 3 join) = S5.4 |
| L6 | pin-store state machine safety (Proposition 1) | pending |
Discipline (identical to the subject corpora)
verification/Proofs/contains ZEROaxiomdeclarations; the single sanctioned axiom site isverification/gen/— here, one opaque function: SHA-256. The theorems are constructive collision extractors, so collision resistance is never assumed, only interpreted.verification/check.shis THE button: compiles every file throughlean-guard(memory cap, core pinning, timeout, single-flight lock) and axiom-audits every certificate against its documented exact cone.- Expected boundary:
propext, Classical.choice, Quot.soundplusLTLAcc.sha256for hash-touching certificates — documented per certificate incheck.sh, audited both directions.
The finished certificates are destined for the LTL itself as attestation leaves: the log carrying kernel-checked proofs of its own machinery.