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algo/docs/artefacts/collatz/iteration_protocol/iteration_protocol.md
ncantu 67eb6a5e68 collatz: parameterize C3 palier and add iteration protocol tooling 
**Motivations:**
- Enable deterministic iteration beyond palier 2^13 (C1→C2→C3).

**Root causes:**
- The C3 verifier and reporting were hard-coded to palier 13, blocking palier-by-palier iteration.

**Correctifs:**
- Parameterize `collatz_verify_c3_local_descent.py` with `--palier` and suffix outputs for m!=13.
- Add deterministic iteration protocol generator and versioned protocol artefacts.
- Extend run report generator `c3_local_descent` profile with `--c3-palier`.

**Evolutions:**
- Reference the protocol in proof documents.

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py
- applications/collatz/collatz_k_scripts/collatz_iterate_palier_protocol.py
- docs/artefacts/collatz/iteration_protocol/*
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- docs/collatz_run_report_format.md
- applications/collatz/démonstration collatz.md
2026-03-09 04:56:44 +01:00

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Auteur : Équipe 4NK

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

État courant (artefacts)

  • C3 palier certifié : 2^13 (d’après /home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.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 : 2^14
  • 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 14 --palier-max 14 --t-min 9 --t-max 120 --write-index --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 14
  • 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_palier2p14.json --output-dir docs/artefacts/collatz/universal_clauses
  • 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_palier2p14.json --clauses-json docs/artefacts/collatz/universal_clauses/clauses_universelles.json --output-dir docs/artefacts/collatz/universal_clauses
  • 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}.
  • La génération de run reports (sha256 + compteurs) pour des paliers m != 13 peut nécessiter l’extension du profil c3_local_descent du générateur de rapports.