algo/docs/artefacts/collatz/universal_clauses/verification_universal_clauses.json
ncantu 94280b93fd collatz: extract and verify universal clause candidates (Option A)
**Motivations:**
- Produce a deterministic bridge from C3 local witnesses to universal-clause candidates (D/F) usable in later H4/H5 formalization.

**Root causes:**
- Local witnesses (Lift(B12)-scoped) were not exportable into a versioned, machine-checkable clause artefact.

**Correctifs:**
- Add deterministic extraction with minimal stable modulus lifting for D_exact/F and local encoding for D_brother dependencies.
- Add deterministic verifier checking arithmetic consistency, lifting stability, and brother↔mate relation.

**Evolutions:**
- Version universal clause artefacts (JSON/MD) under `docs/artefacts/collatz/universal_clauses/`.
- Document the feature and reproduction steps in `docs/features/`.

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py
- applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py
- docs/artefacts/collatz/universal_clauses/*
- docs/features/collatz_universal_clause_extraction_optionA.md
2026-03-09 03:26:07 +01:00

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JSON

{
"inputs": {
"verification_c3_local_descent_json": "docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.json",
"clauses_universelles_json": "docs/artefacts/collatz/universal_clauses/clauses_universelles.json"
},
"domain": {
"palier": 13,
"max_stable_modulus_power": 85
},
"counts": {
"ok_records": 384,
"D_exact": 27,
"F": 330,
"D_brother_local": 27
},
"ok": true
}