**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
scripts collatz registre K
Objet
Scripts Python nécessaires pour reproduire les calculs et audits produits jusqu’ici:
- 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
Let surS_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 surS_M.collatz_generate_minorated_descent_clauses_over_Sm.py: clauses de descente minorées (D_minor) surS_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) surS_M.collatz_compare_dminor_families_incremental.py: tableau d’impact incrémental (Δopen_roots, Δq_m, Δparents_one_child, quantiles lb) par ajout de familles D_minor groupées park.