ltl-accumulator-verified/README.md
mrwulf 67d9cfed43 S3.5 Fable re-audit: permanent non-vacuity witness + honest ledger
Adversarial re-derivation of S3.5 (drill after harness switch). Core
verdict CONFIRMED: extractIncl_correct is faithful and non-vacuous.
Three methodical flaws found and resolved:
- F1: the non-vacuity proof existed only as a deleted probe — evidence
  discarded. Now permanent: extractIncl_nonvacuous proves the
  extractor's output on a NON-forgery input is NOT a collision, so the
  correctness conclusion is false for some inputs and cannot be
  discharged by pigeonhole/choice. Guards against future drift back
  into vacuity. Cone pinned.
- F2 (queued for S4): deleting root_binding discarded the receipt-
  uniqueness content of Lemma 2 (left disjunct: P = Path m D) along
  with its vacuous disjunct. To be restored in extractor form during
  S4; the S4 consistency walk inlines the same argument regardless.
- F3: README still claimed 'root_binding done' — a deleted theorem
  advertised as delivered. Ledger corrected.

15 certs green. LTL untouched.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-11 16:38:34 +02:00

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# 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 collision extractor extractIncl+correctness (Theorem 2) **done, non-vacuous**; consistency (Theorem 3) pending |
| L6 | pin-store state machine safety (Proposition 1) | pending |
## Discipline (identical to the subject corpora)
- `verification/Proofs/` contains ZERO `axiom` declarations; the single
sanctioned axiom site is `verification/gen/` — here, one opaque
function: SHA-256. The theorems are constructive collision extractors,
so collision resistance is never assumed, only interpreted.
- `verification/check.sh` is THE button: compiles every file through
`lean-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.sound` plus
`LTLAcc.sha256` for hash-touching certificates — documented per
certificate in `check.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.