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

3.3 KiB

Raw Blame History

Auteur : Équipe 4NK

Protocole déterministe — itération de palier (C1→C2→C3)

État courant (artefacts)

C3 palier certifié : 2^15 (d’après /home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p15.json)
C2 transition max auditée : palier enfant 2^17 (d’après /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json)

Palier cible

palier cible : 2^16
H6 locale présente (états) : 1/60
états manquants : [1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60]

Étapes (commandes reproductibles)

C1_local_H6_generate :

python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_artefacts.py --docs-dir docs --output-root docs/artefacts/collatz --state-ids all --palier-start 16 --palier-max 16 --t-min 9 --t-max 120 --write-index --index-path docs/artefacts/collatz/local_H6_index.md

C1_local_H6_run_reports :

python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_run_reports.py --out-dir applications/collatz/out --docs-dir docs --local-h6-root docs/artefacts/collatz --palier 16 --index-path docs/artefacts/collatz/local_H6_index.md

C3_verify_local_descent :

python3 applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py --local-h6-root docs/artefacts/collatz --output-dir docs/artefacts/collatz/c3_local_descent --palier 16

C3_run_report_palier :

python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c3_local_descent_palier --c3-artefacts-dir docs/artefacts/collatz/c3_local_descent --c3-palier 16 --out-dir applications/collatz/out --docs-dir docs

Universal_clauses_extract :

python3 applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p16.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p16

Universal_clauses_verify :

python3 applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p16.json --clauses-json docs/artefacts/collatz/universal_clauses/palier2p16/clauses_universelles.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p16

Universal_clauses_run_report_palier :

python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile universal_clauses_palier --universal-clauses-artefacts-dir docs/artefacts/collatz/universal_clauses/palier2p16 --out-dir applications/collatz/out --docs-dir docs

C2_verify_projective :

python3 applications/collatz/collatz_k_scripts/collatz_verify_c2_projective.py --repo-root /home/ncantu/code/algo --output-dir docs/artefacts/collatz/c2_projective

Notes

Pour C3_verify_local_descent : si palier != 13, les sorties attendues sont suffixées ..._palier2p<m>.{json,md}.
Les rapports C3 par palier sont générés via le profil c3_local_descent_palier (nom de fichier déterministe).

3.3 KiB Raw Blame History Unescape Escape