ncantu bd529682bf collatz: add palier2p15/p16 artefacts and Sm refinement tooling
**Motivations:**
- Publish new Collatz palier runs and associated artefacts (C3 local descent, universal clauses, iteration protocol).
- Extend the scripts toolbox to generate/verify clauses and build refinement certificates over S_m.

**Root causes:**
- Universal clause witnesses were lifted to 2^(A+1) even when the witness is already fixed modulo the domain palier, leading to unstable or unnecessarily weak/ambiguous modulus choices.
- CSV palier inference in scission could mis-detect short column names (e.g. "m") by substring matching.

**Correctifs:**
- Lift D_exact/F witnesses to m_stable := max(m, A+1) in universal clause extraction and run reports.
- Make scission palier/m column detection exact-match to avoid false positives.
- Update C3 local descent verification/reporting to use strict fusion witness selection prioritizing lower modular stability and refreshed D/F metrics.
- Add a dedicated run report profile for per-palier universal clauses.

**Evolutions:**
- Add scripts for terminal clauses and minorated descent clauses over S_m, their deterministic verification, and multi-level refinement certificate building.
- Add modular tooling for register_K and incremental comparison of D_minor families.
- Add/update feature documentation for the new pipelines and generated reports.

**Pages affectées:**
- applications/collatz/collatz_k_scripts/README.md
- applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- applications/collatz/collatz_k_scripts/collatz_iterate_palier_protocol.py
- applications/collatz/collatz_k_scripts/collatz_scission.py
- applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py
- applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py
- applications/collatz/collatz_k_scripts/*refinement*over_Sm*.py
- applications/collatz/collatz_k_scripts/collatz_generate_*clauses_over_Sm.py
- applications/collatz/collatz_k_scripts/collatz_verify_minorated_descent_clauses_over_Sm.py
- applications/collatz/collatz_k_scripts/collatz_build_register_K_modular.py
- applications/collatz/collatz_k_scripts/collatz_compare_dminor_families_incremental.py
- applications/collatz/*.md
- docs/features/*.md
- docs/artefacts/collatz/**
- docs/collatz_run_report_2026-03-09_*.md
2026-03-09 23:29:59 +01:00

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# scripts collatz registre K
## Objet
Scripts Python nécessaires pour reproduire les calculs et audits produits jusquici:
- génération des paquets D_k (au moins la branche "après fusion" pour D16 et D17)
- génération et audit des clauses de fusion (F)
- production systématique des listes exhaustives en Markdown (bloc CSV)
- génération et vérification de clauses terminales sur \(S_M\) (exactes et minorées)
- certificats de raffinement (sur \(L\) et sur \(S_M\))
## Entrées
Les scripts attendent les fichiers:
- audit_60_etats_B12_mod4096_horizon7.json
- complétion_minorée_m15_vers_m16.md
- candidats_D10_palier2p17.md
## Exécution
Pipeline directe:
python collatz_k_pipeline.py \
--audit60 /chemin/audit_60_etats_B12_mod4096_horizon7.json \
--m15m16 /chemin/complétion_minorée_m15_vers_m16.md \
--d10 /chemin/candidats_D10_palier2p17.md \
--out /chemin/sorties
Orchestrateur:
python reproduce_all_audits.py --root /chemin/fichiers_source --out /chemin/sorties
## Compléments (scripts unitaires)
- `collatz_generate_terminal_clauses_over_Sm.py` : clauses terminales (D/F) directement décidables sur \(S_M\).
- `collatz_generate_minorated_descent_clauses_over_Sm.py` : clauses de descente minorées (D_minor) sur \(S_M\).
- `collatz_verify_minorated_descent_clauses_over_Sm.py` : vérification déterministe des clauses D_minor.
- `collatz_build_refinement_certificate_over_Sm_multilevel.py` : audit de fermeture par raffinement (multi-niveaux) sur \(S_M\).
- `collatz_compare_dminor_families_incremental.py` : tableau dimpact incrémental (Δopen_roots, Δq_m, Δparents_one_child, quantiles lb) par ajout de familles D_minor groupées par \(k\).