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algo/docs/collatz_run_report_2026-03-09_c2_projective.md
ncantu 523fa25fef collatz: formalize universal D/F clauses and report all C2 transitions 
**Motivations:**
- Convert observed witnesses into universal clause statements usable in well-founded induction
- Ensure c2_projective run report reflects every discovered transition

**Root causes:**
- H4/H5 universality bridge was implicit
- c2_projective run report only displayed legacy checks (m14→m16)

**Correctifs:**
- Add explicit universal D/F clause forms, thresholds, and induction closure schema
- Extend c2_projective metrics rendering to iterate over verification JSON transitions

**Evolutions:**
- None

**Pages affectées:**
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- docs/collatz_run_report_2026-03-09_c2_projective.md
2026-03-09 02:09:04 +01:00

2.4 KiB
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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 : 4a2f06c4be18ce8285049560ee375e425c1451b5
  • 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/applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md
    • sha256: b344d0af34508ca7bf59486f2b7b52c84a2dda46063155ed1f32e6652b22b7ca
  • /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json
    • sha256: 90f9f5f7481f438e73e05badf13dd22065f845b3d1efb7d43f4d0aa576fccd3c
  • /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.md
    • sha256: c8b35eb6d9b7231d791a87b56f3343f0a4c5027f2d57ae13276ef3341819834d

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, |listed residual(m=16)|=2202
  • m=15: both mod 4096 == B12 : True
  • m=16: |both|=2202, |children(m=17)|=4404, |listed residual(m=17)|=4404
  • m=16: both mod 4096 == B12 : True

Chemins d’artefacts (versionnés)

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