ncantu 4a2f06c4be collatz: add completion m16→m17 to C2 artefacts

**Motivations:**
- Extend C2 multi-transition chain beyond m=16
- Keep deterministic C2 artefacts aligned with new completion docs

**Root causes:**
- No completion doc existed for m>16, so C2 verifier couldn’t include it

**Correctifs:**
- Add complétion_minorée_m16_vers_m17.md with exhaustive both(m=16) list and declared |R_17^comp|
- Regenerate C2 deterministic artefacts and run report to include the new transition

**Evolutions:**
- None

**Pages affectées:**
- applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md
- 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 02:08:28 +01:00

1.3 KiB

Raw Blame History

Auteur : Équipe 4NK

Vérification déterministe — Lemma C2 (réduction projective)

Entrées

noyau_both_base_4096.md : applications/collatz/collatz_k_scripts/noyau_both_base_4096.md
completion : applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md
completion : applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md
completion : applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md

Base projective B12

|B12| = 192 (attendu 192)
min(B12) = 27, max(B12) = 4095

Transitions détectées (table multi-transitions)

| source | m | m+1 | |both(m)| | |children(m+1)| | |listed residual| | children==listed | both mod 4096 == B12 | | --- | --- | --- | --- | --- | --- | --- | --- | | applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md | 14 | 15 | 593 | 1186 | 1186 | True | True | | applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md | 15 | 16 | 1101 | 2202 | 2202 | | True | | applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md | 16 | 17 | 2202 | 4404 | 4404 | | True |

Sorties

JSON : docs/artefacts/collatz/c2_projective/verification_c2_projective.json
Markdown : docs/artefacts/collatz/c2_projective/verification_c2_projective.md

1.3 KiB Raw Blame History