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algo/docs/collatz_run_report_2026-03-09_c3_local_descent.md
ncantu 071da20b19 Add deterministic C3 local descent verification and run report profile 
**Motivations:**
- Instrument the C3 “final lock” as a citeable deterministic artefact
- Provide a reproducible check over Lift(B12) at palier 2^13 using D8/Fusion witnesses

**Root causes:**
- C3 lacked a machine-checkable artefact aligned with the run-report standard

**Correctifs:**
- Add a deterministic verifier that checks fusion witnesses (m<n and U(m)=U^t(n)) and aggregates N* where computable

**Evolutions:**
- Version C3 verification artefacts under docs/artefacts
- Add run report profile c3_local_descent (sha256 + metrics)
- Document the new profile and reference the artefacts in the proof plan

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.json
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.md
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- docs/collatz_run_report_2026-03-09_c3_local_descent.md
- docs/collatz_run_report_format.md
- docs/features/collatz_run_report_generator.md
- docs/features/collatz_c3_local_descent_verification.md
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
2026-03-09 01:44:01 +01:00

1.8 KiB
Raw Blame History

Auteur : Équipe 4NK

Rapport d’exécution — c3_local_descent

Contexte

  • But du run : vérifier C3 (clôture locale sur Lift(B12) au palier 2^13) via témoins D8/Fusion.
  • Assertion vérifiée : cohérence arithmétique des témoins (U(m)=U^t(n), m<n) et agrégats (N*).

Code et reproductibilité

  • Commit Git : e3e68fe39c8ad466e5741e87d20311ca93b2456e
  • Commande :
python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c3_local_descent --scope c3_local_descent --out-dir applications/collatz/out --docs-dir docs --c3-artefacts-dir docs/artefacts/collatz/c3_local_descent

Empreintes sha256 (scripts, artefacts)

  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py
    • sha256: 8959c31332dc650040a434efd9ebfa7a604d2f436a1316cf36371a12578b2b34
  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_k_core.py
    • sha256: 2d5fb9fff733c37a2fa88334b034b70bfe23665d5a13bf4b2407bb13de7227dc
  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_k_fusion.py
    • sha256: 421d4384b501129a2039c67a327e57e0dd891cdf125c1d74499627bc20a3f62f
  • /home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.json
    • sha256: cad483cab3a6db3693dc6130e68f61e99350515719bf52fc63370f4287e7ef97
  • /home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.md
    • sha256: 5353489e85fca4ad3774a778e39b57e2994de8e4dfb937b62a8d41df31a952dd

Compteurs et métriques

  • palier : 2^13
  • |Lift(B12)| : 384
  • D8 : 54 (exact=27, brothers=27)
  • Fusion : 330
  • N* (max seuils N0/Nf calculés) : 138
  • base validation checked up to : 8191

Chemins d’artefacts (versionnés)

  • ARTEFACTS : /home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent