2 Commits

Author SHA1 Message Date
ncantu
40fa3808a7 collatz: generate palier2p14 H6/C3 and universal clause artefacts
**Motivations:**
- Materialize the next iteration step (C1 at 2^14, then C3 at 2^14, then universal clauses from that C3).

**Root causes:**
- The palier 2^14 iteration was missing versioned artefacts and run reports, so it was not citable.

**Correctifs:**
- Generate local H6(E) artefacts for all 60 states at palier 2^14 and update `local_H6_index.md`.
- Generate deterministic C3 verification at palier 2^14 and extract/verify universal clauses under `universal_clauses/palier2p14/`.

**Evolutions:**
- Add run reports for all local H6 palier2p14 states, plus C3 palier2p14 and universal_clauses palier2p14.
- Add an iteration protocol instance seeded from C3 palier2p14 (targeting palier 2^15).

**Pages affectées:**
- docs/artefacts/collatz/local_E*_palier2p14/**
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.{json,md}
- docs/artefacts/collatz/universal_clauses/palier2p14/**
- docs/artefacts/collatz/iteration_protocol/palier2p14/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p14.md
- docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
- docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md
2026-03-09 05:06:13 +01:00
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