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S4 Fable re-audit: correct a false ledger claim (F2 was NOT resolved)

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Adversarial re-derivation of S4. The mathematics HOLDS: extractMTH_correct
is faithful to paper Theorem 3 step 3 (hypotheses, recursion, node/leaf
collision cases all re-verified), sub-call length/difference obligations
sound, non-vacuity witness valid.

The defect was in the CLAIM: S4's commit/README stated extractMTH
'restores the receipt-uniqueness content of Lemma 2'. Wrong instance.
Lemma 2 has three instantiations; the deleted root_binding was the PATH
instance (uniqueness of accepting receipts (v,P) for Root, quantifying
over adversarial paths); extractMTH is the WHOLE-TREE instance (MTH
injective on equal-length leaf lists). Nothing in the corpus currently
states path-uniqueness. Ledger corrected: whole-tree instance done;
path instance honestly listed as deleted-and-not-restored (optional —
not needed for Theorem 3 assembly).

No Lean changes; 18 certs remain green. LTL untouched.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This commit is contained in:
mrwulf 2026-07-11 17:15:08 +02:00
parent be232507cc
commit 30cf6563ff
1 changed files with 2 additions and 1 deletions
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README.md
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@ -14,7 +14,8 @@ the same discipline as the four `*-ed25519-verified` subject corpora.
| 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; restored receipt-uniqueness of Lemma 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) | pending (S5) |
| L6 | pin-store state machine safety (Proposition 1) | pending |