**Motivations:**
- Materialize the next iteration step (C1 at 2^14, then C3 at 2^14, then universal clauses from that C3).
**Root causes:**
- The palier 2^14 iteration was missing versioned artefacts and run reports, so it was not citable.
**Correctifs:**
- Generate local H6(E) artefacts for all 60 states at palier 2^14 and update `local_H6_index.md`.
- Generate deterministic C3 verification at palier 2^14 and extract/verify universal clauses under `universal_clauses/palier2p14/`.
**Evolutions:**
- Add run reports for all local H6 palier2p14 states, plus C3 palier2p14 and universal_clauses palier2p14.
- Add an iteration protocol instance seeded from C3 palier2p14 (targeting palier 2^15).
**Pages affectées:**
- docs/artefacts/collatz/local_E*_palier2p14/**
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.{json,md}
- docs/artefacts/collatz/universal_clauses/palier2p14/**
- docs/artefacts/collatz/iteration_protocol/palier2p14/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p14.md
- docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
- docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md
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Auteur : Équipe 4NK
Protocole déterministe — itération de palier (C1→C2→C3)
État courant (artefacts)
- C3 palier certifié : 2^14 (d’après
/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.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 : 2^15
- 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 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
- 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: sipalier != 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).