bd529682bf
**Motivations:** - Publish new Collatz palier runs and associated artefacts (C3 local descent, universal clauses, iteration protocol). - Extend the scripts toolbox to generate/verify clauses and build refinement certificates over S_m. **Root causes:** - Universal clause witnesses were lifted to 2^(A+1) even when the witness is already fixed modulo the domain palier, leading to unstable or unnecessarily weak/ambiguous modulus choices. - CSV palier inference in scission could mis-detect short column names (e.g. "m") by substring matching. **Correctifs:** - Lift D_exact/F witnesses to m_stable := max(m, A+1) in universal clause extraction and run reports. - Make scission palier/m column detection exact-match to avoid false positives. - Update C3 local descent verification/reporting to use strict fusion witness selection prioritizing lower modular stability and refreshed D/F metrics. - Add a dedicated run report profile for per-palier universal clauses. **Evolutions:** - Add scripts for terminal clauses and minorated descent clauses over S_m, their deterministic verification, and multi-level refinement certificate building. - Add modular tooling for register_K and incremental comparison of D_minor families. - Add/update feature documentation for the new pipelines and generated reports. **Pages affectées:** - applications/collatz/collatz_k_scripts/README.md - applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py - applications/collatz/collatz_k_scripts/collatz_generate_run_report.py - applications/collatz/collatz_k_scripts/collatz_iterate_palier_protocol.py - applications/collatz/collatz_k_scripts/collatz_scission.py - applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py - applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py - applications/collatz/collatz_k_scripts/*refinement*over_Sm*.py - applications/collatz/collatz_k_scripts/collatz_generate_*clauses_over_Sm.py - applications/collatz/collatz_k_scripts/collatz_verify_minorated_descent_clauses_over_Sm.py - applications/collatz/collatz_k_scripts/collatz_build_register_K_modular.py - applications/collatz/collatz_k_scripts/collatz_compare_dminor_families_incremental.py - applications/collatz/*.md - docs/features/*.md - docs/artefacts/collatz/** - docs/collatz_run_report_2026-03-09_*.md
7.4 KiB
Auteur : Équipe 4NK
Index — H6 locale (états de B12)
Table
| etat_id | mot_7 | |B12(E)| | palier | Δm(E) | D8_cand | D8_cov | F_tmin | F_tmax_used | F_clauses | F_cov | |covered_total| | artefacts | report |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | 1 1 1 1 1 1 1 | 16 | 2^16 | 4 | 4 | 4 | 9 | 74 | 252 | 252 | 256 | docs/artefacts/collatz/local_E1_palier2p16 | |
| 2 | 1 1 1 1 1 1 2 | 8 | 2^16 | 4 | 4 | 4 | 9 | 79 | 124 | 124 | 128 | docs/artefacts/collatz/local_E2_palier2p16 | |
| 3 | 1 1 1 1 1 2 1 | 8 | 2^16 | 4 | 4 | 4 | 9 | 78 | 124 | 124 | 128 | docs/artefacts/collatz/local_E3_palier2p16 | |
| 4 | 1 1 1 1 2 1 1 | 8 | 2^16 | 4 | 4 | 4 | 9 | 49 | 124 | 124 | 128 | docs/artefacts/collatz/local_E4_palier2p16 | |
| 5 | 1 1 1 2 1 1 1 | 8 | 2^16 | 4 | 4 | 4 | 9 | 46 | 124 | 124 | 128 | docs/artefacts/collatz/local_E5_palier2p16 | |
| 6 | 1 1 2 1 1 1 1 | 8 | 2^16 | 4 | 4 | 4 | 9 | 64 | 124 | 124 | 128 | docs/artefacts/collatz/local_E6_palier2p16 | |
| 7 | 1 2 1 1 1 1 1 | 8 | 2^16 | 4 | 4 | 4 | 9 | 76 | 124 | 124 | 128 | docs/artefacts/collatz/local_E7_palier2p16 | |
| 8 | 1 1 1 1 1 1 3 | 4 | 2^16 | 4 | 4 | 4 | 9 | 42 | 60 | 60 | 64 | docs/artefacts/collatz/local_E8_palier2p16 | |
| 9 | 1 1 1 1 1 2 2 | 4 | 2^16 | 4 | 4 | 4 | 9 | 52 | 60 | 60 | 64 | docs/artefacts/collatz/local_E9_palier2p16 | |
| 10 | 1 1 1 1 1 3 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 33 | 60 | 60 | 64 | docs/artefacts/collatz/local_E10_palier2p16 | |
| 11 | 1 1 1 1 2 1 2 | 4 | 2^16 | 4 | 4 | 4 | 9 | 45 | 60 | 60 | 64 | docs/artefacts/collatz/local_E11_palier2p16 | |
| 12 | 1 1 1 1 2 2 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 51 | 60 | 60 | 64 | docs/artefacts/collatz/local_E12_palier2p16 | |
| 13 | 1 1 1 1 3 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 44 | 60 | 60 | 64 | docs/artefacts/collatz/local_E13_palier2p16 | |
| 14 | 1 1 1 2 1 1 2 | 4 | 2^16 | 4 | 4 | 4 | 9 | 41 | 60 | 60 | 64 | docs/artefacts/collatz/local_E14_palier2p16 | |
| 15 | 1 1 1 2 1 2 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 47 | 60 | 60 | 64 | docs/artefacts/collatz/local_E15_palier2p16 | |
| 16 | 1 1 1 2 2 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 81 | 60 | 60 | 64 | docs/artefacts/collatz/local_E16_palier2p16 | |
| 17 | 1 1 2 1 1 1 2 | 4 | 2^16 | 4 | 4 | 4 | 9 | 43 | 60 | 60 | 64 | docs/artefacts/collatz/local_E17_palier2p16 | |
| 18 | 1 1 2 1 1 2 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 40 | 60 | 60 | 64 | docs/artefacts/collatz/local_E18_palier2p16 | |
| 19 | 1 1 2 1 2 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 43 | 60 | 60 | 64 | docs/artefacts/collatz/local_E19_palier2p16 | |
| 20 | 1 1 2 2 1 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 31 | 60 | 60 | 64 | docs/artefacts/collatz/local_E20_palier2p16 | |
| 21 | 1 2 1 1 1 1 2 | 4 | 2^16 | 4 | 4 | 4 | 9 | 45 | 60 | 60 | 64 | docs/artefacts/collatz/local_E21_palier2p16 | |
| 22 | 1 2 1 1 1 2 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 42 | 60 | 60 | 64 | docs/artefacts/collatz/local_E22_palier2p16 | |
| 23 | 1 2 1 1 2 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 33 | 60 | 60 | 64 | docs/artefacts/collatz/local_E23_palier2p16 | |
| 24 | 1 2 1 2 1 1 1 | 4 | 2^16 | 4 | 4 | 4 | 9 | 50 | 60 | 60 | 64 | docs/artefacts/collatz/local_E24_palier2p16 | |
| 25 | 1 1 1 1 1 1 4 | 2 | 2^16 | 4 | 4 | 4 | 9 | 51 | 28 | 28 | 32 | docs/artefacts/collatz/local_E25_palier2p16 | |
| 26 | 1 1 1 1 1 2 3 | 2 | 2^16 | 4 | 4 | 4 | 9 | 35 | 28 | 28 | 32 | docs/artefacts/collatz/local_E26_palier2p16 | |
| 27 | 1 1 1 1 1 3 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 45 | 28 | 28 | 32 | docs/artefacts/collatz/local_E27_palier2p16 | |
| 28 | 1 1 1 1 1 4 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 50 | 28 | 28 | 32 | docs/artefacts/collatz/local_E28_palier2p16 | |
| 29 | 1 1 1 1 2 1 3 | 2 | 2^16 | 4 | 4 | 4 | 9 | 28 | 28 | 28 | 32 | docs/artefacts/collatz/local_E29_palier2p16 | |
| 30 | 1 1 1 1 2 2 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 33 | 28 | 28 | 32 | docs/artefacts/collatz/local_E30_palier2p16 | |
| 31 | 1 1 1 1 3 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 35 | 28 | 28 | 32 | docs/artefacts/collatz/local_E31_palier2p16 | |
| 32 | 1 1 1 1 3 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 44 | 28 | 28 | 32 | docs/artefacts/collatz/local_E32_palier2p16 | |
| 33 | 1 1 1 2 1 1 3 | 2 | 2^16 | 4 | 4 | 4 | 9 | 18 | 28 | 28 | 32 | docs/artefacts/collatz/local_E33_palier2p16 | |
| 34 | 1 1 1 2 1 2 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 44 | 28 | 28 | 32 | docs/artefacts/collatz/local_E34_palier2p16 | |
| 35 | 1 1 1 2 2 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 34 | 28 | 28 | 32 | docs/artefacts/collatz/local_E35_palier2p16 | |
| 36 | 1 1 1 2 2 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 27 | 28 | 28 | 32 | docs/artefacts/collatz/local_E36_palier2p16 | |
| 37 | 1 1 2 1 1 1 3 | 2 | 2^16 | 4 | 4 | 4 | 9 | 32 | 28 | 28 | 32 | docs/artefacts/collatz/local_E37_palier2p16 | |
| 38 | 1 1 2 1 1 2 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 19 | 28 | 28 | 32 | docs/artefacts/collatz/local_E38_palier2p16 | |
| 39 | 1 1 2 1 2 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 35 | 28 | 28 | 32 | docs/artefacts/collatz/local_E39_palier2p16 | |
| 40 | 1 1 2 1 2 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 43 | 28 | 28 | 32 | docs/artefacts/collatz/local_E40_palier2p16 | |
| 41 | 1 1 2 2 1 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 85 | 28 | 28 | 32 | docs/artefacts/collatz/local_E41_palier2p16 | |
| 42 | 1 1 2 2 1 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 81 | 28 | 28 | 32 | docs/artefacts/collatz/local_E42_palier2p16 | |
| 43 | 1 2 1 1 1 1 3 | 2 | 2^16 | 4 | 4 | 4 | 9 | 44 | 28 | 28 | 32 | docs/artefacts/collatz/local_E43_palier2p16 | |
| 44 | 1 2 1 1 1 2 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 27 | 28 | 28 | 32 | docs/artefacts/collatz/local_E44_palier2p16 | |
| 45 | 1 2 1 1 2 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 36 | 28 | 28 | 32 | docs/artefacts/collatz/local_E45_palier2p16 | |
| 46 | 1 2 1 1 2 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 21 | 28 | 28 | 32 | docs/artefacts/collatz/local_E46_palier2p16 | |
| 47 | 1 2 1 2 1 1 2 | 2 | 2^16 | 4 | 4 | 4 | 9 | 36 | 28 | 28 | 32 | docs/artefacts/collatz/local_E47_palier2p16 | |
| 48 | 1 2 1 2 1 2 1 | 2 | 2^16 | 4 | 4 | 4 | 9 | 34 | 28 | 28 | 32 | docs/artefacts/collatz/local_E48_palier2p16 | |
| 49 | 1 1 1 1 1 2 4 | 1 | 2^16 | 4 | 4 | 4 | 9 | 33 | 12 | 12 | 16 | docs/artefacts/collatz/local_E49_palier2p16 | |
| 50 | 1 1 1 1 1 4 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 12 | 12 | 12 | 16 | docs/artefacts/collatz/local_E50_palier2p16 | |
| 51 | 1 1 1 1 2 1 4 | 1 | 2^16 | 4 | 4 | 4 | 9 | 23 | 12 | 12 | 16 | docs/artefacts/collatz/local_E51_palier2p16 | |
| 52 | 1 1 1 1 3 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 42 | 12 | 12 | 16 | docs/artefacts/collatz/local_E52_palier2p16 | |
| 53 | 1 1 1 2 1 1 4 | 1 | 2^16 | 4 | 4 | 4 | 9 | 20 | 12 | 12 | 16 | docs/artefacts/collatz/local_E53_palier2p16 | |
| 54 | 1 1 1 2 2 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 25 | 12 | 12 | 16 | docs/artefacts/collatz/local_E54_palier2p16 | |
| 55 | 1 1 2 1 1 1 4 | 1 | 2^16 | 4 | 4 | 4 | 9 | 20 | 12 | 12 | 16 | docs/artefacts/collatz/local_E55_palier2p16 | |
| 56 | 1 1 2 1 2 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 21 | 12 | 12 | 16 | docs/artefacts/collatz/local_E56_palier2p16 | |
| 57 | 1 1 2 2 1 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 27 | 12 | 12 | 16 | docs/artefacts/collatz/local_E57_palier2p16 | |
| 58 | 1 2 1 1 1 1 4 | 1 | 2^16 | 4 | 4 | 4 | 9 | 21 | 12 | 12 | 16 | docs/artefacts/collatz/local_E58_palier2p16 | |
| 59 | 1 2 1 1 2 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 21 | 12 | 12 | 16 | docs/artefacts/collatz/local_E59_palier2p16 | |
| 60 | 1 2 1 2 1 2 2 | 1 | 2^16 | 4 | 4 | 4 | 9 | 18 | 12 | 12 | 16 | docs/artefacts/collatz/local_E60_palier2p16 | |