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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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

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 |

Sorties

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

1.1 KiB Raw Blame History