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algo/docs/collatz_run_report_2026-03-09_c2_projective.md
ncantu ace28bbecf Auto-discover C2 completion docs and add multi-transition table 
**Motivations:**
- Keep C2 verification up to date when new completion documents (m>16) are added
- Make C3 status explicit: local instance vs general uniformization lock

**Root causes:**
- C2 verifier was hardwired to two completion files and could not generalize to future transitions
- C3 general form required an explicit decision and statement of the remaining lock

**Correctifs:**
- Auto-discover completion docs and validate declared residual sizes and optional lists per transition
- Restore backward-compatible checks block for downstream tooling

**Evolutions:**
- Add a deterministic multi-transition table to c2_projective artefacts
- Hash the discovered completion docs list in the c2_projective run report profile
- Record the explicit C3 “local vs general” decision and C3.gen target in the proof plan

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_verify_c2_projective.py
- docs/artefacts/collatz/c2_projective/verification_c2_projective.json
- docs/artefacts/collatz/c2_projective/verification_c2_projective.md
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- docs/collatz_run_report_2026-03-09_c2_projective.md
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
2026-03-09 01:52:04 +01:00

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Auteur : Équipe 4NK

Rapport d’exécution — c2_projective

Contexte

  • But du run : vérifier C2 (complétion par frères ⇒ both ⇒ projection B12) sur des artefacts déterministes.
  • Assertion vérifiée : égalités d’ensembles et égalité de projections modulo 4096 (voir métriques).

Code et reproductibilité

  • Commit Git : 071da20b190207aebcbbbaad8e57b9e21b8282c6
  • Commande :
python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c2_projective --scope c2_projective --out-dir applications/collatz/out --docs-dir docs --c2-artefacts-dir docs/artefacts/collatz/c2_projective

Empreintes sha256 (scripts, artefacts)

  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_verify_c2_projective.py
    • sha256: 40fc1ae3e560f4baa5ae47ee63412a8634a7314899ff21eb117bf64023d61e5d
  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/noyau_both_base_4096.md
    • sha256: d0abffeca9ce2356d13b31ee4325b68fd85cf061670a8524b8e60fd15aba881b
  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md
    • sha256: acc8667be8e93a33fadf45bacd5cd788ec05089d844616cf1762330ac0d41d67
  • /home/ncantu/code/algo/applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md
    • sha256: 956f8fd19570b7614705384995b52b6bf81399ca8dc36c3ea33bcbad3e4aff50
  • /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json
    • sha256: 3f5ee61f259c90138d7c9fd3e8a2331947a2e25988bea349f246ad90fb1e43ec
  • /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.md
    • sha256: f4f5e00365ec6cc2253f2ef80ca51414d4ad79dc51bc0a408ff1bb352eba39f5

Compteurs et métriques

  • |B12| = 192
  • m=14: |both|=593, |children(m=15)|=1186, |listed residual(m=15)|=1186
  • m=14: children(m=15) == residual(m=15) : True
  • m=14: both mod 4096 == B12 : True
  • m=15: |both|=1101, |children(m=16)|=2202
  • m=15: both mod 4096 == B12 : True

Chemins d’artefacts (versionnés)

  • ARTEFACTS : /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective