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algo/docs/collatz_run_report_2026-03-09_c2_projective.md
ncantu c29bbaec4b Extend C2 projective verifier with declared residual size checks 
**Motivations:**
- Make C2 verification robust when completion documents provide counts instead of full residual lists
- Prepare the verifier to support additional completion transitions with the same artefact structure

**Root causes:**
- m=15→m=16 completion doc may omit residual list and only state |R_16^comp| = 2*|both| = 2202

**Correctifs:**
- Parse and validate declared |R_{m+1}^comp| size when present
- Add generic transition discovery output in verification JSON

**Evolutions:**
- Regenerate versioned C2 verification artefacts and run report

**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
- docs/collatz_run_report_2026-03-09_c2_projective.md
2026-03-09 01:43:53 +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 : e3e68fe39c8ad466e5741e87d20311ca93b2456e
  • 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: bad3ddd4288af4a8b7bcc4fa30c1f5350db16f352b6eaf29918e8c1e1428a5b0
  • /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: 259901a9e4e307dae238672cc3e2e1e016800f034cdd98efe929e69bc1e4068a
  • /home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.md
    • sha256: dc5562fea53f62e88acc08bcd29c89c53e9ad6e5fc4d41351642e7942cc49bdc

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