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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{
"inputs": {
"local_h6_root": "/home/ncantu/code/algo/docs/artefacts/collatz",
"c2_verification_json": "/home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json",
"c3_verification_json": "/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json"
},
"state": {
"c3_palier": 14,
"c2_max_child_palier": 17,
"target_palier": 15,
"local_h6_states_found": 1,
"local_h6_missing_state_ids": [
1,
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]
},
"commands": {
"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 15 --palier-max 15 --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 15 --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 15",
"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 15 --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_palier2p15.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15",
"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_palier2p15.json --clauses-json docs/artefacts/collatz/universal_clauses/palier2p15/clauses_universelles.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15",
"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/palier2p15 --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"
}
}