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