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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Auteur : Équipe 4NK

Rapport d’exécution — universal_clauses

Contexte

But du run : extraire des clauses universelles candidates (Option A : Lift(B12)) depuis l’artefact C3 local, et vérifier leur cohérence déterministe.
Assertion vérifiée : cohérence arithmétique des clauses extraites et cohérence des relèvements au module 2^{m_{stable}} avec m_{stable}=\max(m, A+1).

Code et reproductibilité

Commit Git : 40fa3808a7bb9078d6078205855dcc2a08578c94
Commande :

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

Empreintes sha256 (scripts, artefacts)

/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- sha256: d08e999da6b22ab6d48886c65f2c464c85294f22300b0f77727845331411a66e
/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py
- sha256: d7eec1a0fb3b0fc3dd530d3d6c92e06dd1bce00199db48ae001c45de9d517c4a
/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py
- sha256: e333125148f8f0d2a9634c8714ae4e1870830eb613d7e60702ebabead1abbed8
/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.json
- sha256: cad483cab3a6db3693dc6130e68f61e99350515719bf52fc63370f4287e7ef97
/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/clauses_universelles.json
- sha256: 45da7b5bb606ebe03a5bc596a0629f4762ca960dc675fe6fe55504c2bdc3ea9f
/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/clauses_universelles.md
- sha256: 8fde4f3ecbe1504ebf3bf88eed13bddeca7ca66c67c07cb148a91551a63988b6
/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/verification_universal_clauses.json
- sha256: a45f5a6279febe00a8c723718e935d45481c1c4e2ec60b4664c7a506321121c5
/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/verification_universal_clauses.md
- sha256: a40e151dc81c004009030b0749c9025cc5f74526ae0bf60fecd72d11fe20f5e3

Compteurs et métriques

palier (domaine des témoins) : 2^13
max(2^m_stable) observé : 2^85
total clauses : 384
D_exact : 27
F : 330
D_brother_local : 27
ok_records : 384
ok : True

Chemins d’artefacts (versionnés)

ARTEFACTS : /home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses

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