algo/docs/artefacts/collatz/local_H6_index.md
ncantu cb7197fa43 Version local H6 artefacts for all B12 states and add aggregated index
**Motivations:**
- Make H6(E) checks reproducible and citeable for all 60 B12 states
- Provide an aggregated view of Δm(E) and minimal observed horizons

**Root causes:**
- applications/collatz/out/ is Git-ignored, so local H6 artefacts must live in versioned docs paths
- Per-state H6 evidence was previously limited to E1

**Correctifs:**
- Replace ambiguous palier inference for local certificates with explicit palier in JSON

**Evolutions:**
- Add a generator for versioned local H6 artefacts (per state) at palier 2^13
- Generate per-state local H6 run reports and a versioned aggregated index
- Reference the aggregated index from the proof plan

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_generate_local_h6_artefacts.py
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/local_E*_palier2p13/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p13.md
- docs/features/collatz_local_h6_artefacts_and_index.md
2026-03-09 01:00:12 +01:00

11 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 | 2^13 | 1 | 1 | 2 | 9 | 36 | 30 | 30 | 32 | docs/artefacts/collatz/local_E1_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p13.md | | 2 | 1 1 1 1 1 1 2 | 8 | 2^13 | 1 | 1 | 2 | 9 | 23 | 14 | 14 | 16 | docs/artefacts/collatz/local_E2_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p13.md | | 3 | 1 1 1 1 1 2 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 28 | 14 | 14 | 16 | docs/artefacts/collatz/local_E3_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p13.md | | 4 | 1 1 1 1 2 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 44 | 14 | 14 | 16 | docs/artefacts/collatz/local_E4_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p13.md | | 5 | 1 1 1 2 1 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 43 | 14 | 14 | 16 | docs/artefacts/collatz/local_E5_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p13.md | | 6 | 1 1 2 1 1 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 46 | 14 | 14 | 16 | docs/artefacts/collatz/local_E6_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p13.md | | 7 | 1 2 1 1 1 1 1 | 8 | 2^13 | 1 | 0 | 0 | 9 | 45 | 16 | 16 | 16 | docs/artefacts/collatz/local_E7_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p13.md | | 8 | 1 1 1 1 1 1 3 | 4 | 2^13 | 1 | 0 | 0 | 9 | 18 | 8 | 8 | 8 | docs/artefacts/collatz/local_E8_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p13.md | | 9 | 1 1 1 1 1 2 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 51 | 8 | 8 | 8 | docs/artefacts/collatz/local_E9_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p13.md | | 10 | 1 1 1 1 1 3 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 18 | 6 | 6 | 8 | docs/artefacts/collatz/local_E10_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p13.md | | 11 | 1 1 1 1 2 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 17 | 8 | 8 | 8 | docs/artefacts/collatz/local_E11_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p13.md | | 12 | 1 1 1 1 2 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 50 | 8 | 8 | 8 | docs/artefacts/collatz/local_E12_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p13.md | | 13 | 1 1 1 1 3 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 24 | 6 | 6 | 8 | docs/artefacts/collatz/local_E13_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p13.md | | 14 | 1 1 1 2 1 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 41 | 8 | 8 | 8 | docs/artefacts/collatz/local_E14_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p13.md | | 15 | 1 1 1 2 1 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 36 | 8 | 8 | 8 | docs/artefacts/collatz/local_E15_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p13.md | | 16 | 1 1 1 2 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 49 | 6 | 6 | 8 | docs/artefacts/collatz/local_E16_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p13.md | | 17 | 1 1 2 1 1 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 26 | 8 | 8 | 8 | docs/artefacts/collatz/local_E17_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p13.md | | 18 | 1 1 2 1 1 2 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 36 | 6 | 6 | 8 | docs/artefacts/collatz/local_E18_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p13.md | | 19 | 1 1 2 1 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 35 | 6 | 6 | 8 | docs/artefacts/collatz/local_E19_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p13.md | | 20 | 1 1 2 2 1 1 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 31 | 8 | 8 | 8 | docs/artefacts/collatz/local_E20_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p13.md | | 21 | 1 2 1 1 1 1 2 | 4 | 2^13 | 1 | 1 | 2 | 9 | 37 | 6 | 6 | 8 | docs/artefacts/collatz/local_E21_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p13.md | | 22 | 1 2 1 1 1 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 24 | 8 | 8 | 8 | docs/artefacts/collatz/local_E22_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p13.md | | 23 | 1 2 1 1 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 28 | 6 | 6 | 8 | docs/artefacts/collatz/local_E23_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p13.md | | 24 | 1 2 1 2 1 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 30 | 6 | 6 | 8 | docs/artefacts/collatz/local_E24_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p13.md | | 25 | 1 1 1 1 1 1 4 | 2 | 2^13 | 1 | 0 | 0 | 9 | 51 | 4 | 4 | 4 | docs/artefacts/collatz/local_E25_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p13.md | | 26 | 1 1 1 1 1 2 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 27 | 4 | 4 | 4 | docs/artefacts/collatz/local_E26_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p13.md | | 27 | 1 1 1 1 1 3 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | docs/artefacts/collatz/local_E27_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p13.md | | 28 | 1 1 1 1 1 4 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 50 | 4 | 4 | 4 | docs/artefacts/collatz/local_E28_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p13.md | | 29 | 1 1 1 1 2 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 12 | 4 | 4 | 4 | docs/artefacts/collatz/local_E29_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p13.md | | 30 | 1 1 1 1 2 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | docs/artefacts/collatz/local_E30_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p13.md | | 31 | 1 1 1 1 3 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 16 | 2 | 2 | 4 | docs/artefacts/collatz/local_E31_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p13.md | | 32 | 1 1 1 1 3 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 19 | 4 | 4 | 4 | docs/artefacts/collatz/local_E32_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p13.md | | 33 | 1 1 1 2 1 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 18 | 4 | 4 | 4 | docs/artefacts/collatz/local_E33_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p13.md | | 34 | 1 1 1 2 1 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 14 | 4 | 4 | 4 | docs/artefacts/collatz/local_E34_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p13.md | | 35 | 1 1 1 2 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 34 | 2 | 2 | 4 | docs/artefacts/collatz/local_E35_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p13.md | | 36 | 1 1 1 2 2 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | docs/artefacts/collatz/local_E36_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p13.md | | 37 | 1 1 2 1 1 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 23 | 4 | 4 | 4 | docs/artefacts/collatz/local_E37_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p13.md | | 38 | 1 1 2 1 1 2 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 18 | 2 | 2 | 4 | docs/artefacts/collatz/local_E38_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p13.md | | 39 | 1 1 2 1 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 23 | 2 | 2 | 4 | docs/artefacts/collatz/local_E39_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p13.md | | 40 | 1 1 2 1 2 2 1 | 2 | 2^13 | 1 | 1 | 2 | 9 | 16 | 2 | 2 | 4 | docs/artefacts/collatz/local_E40_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p13.md | | 41 | 1 1 2 2 1 1 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 14 | 4 | 4 | 4 | docs/artefacts/collatz/local_E41_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p13.md | | 42 | 1 1 2 2 1 2 1 | 2 | 2^13 | 1 | 1 | 2 | 9 | 33 | 2 | 2 | 4 | docs/artefacts/collatz/local_E42_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p13.md | | 43 | 1 2 1 1 1 1 3 | 2 | 2^13 | 1 | 1 | 2 | 9 | 12 | 2 | 2 | 4 | docs/artefacts/collatz/local_E43_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p13.md | | 44 | 1 2 1 1 1 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 25 | 4 | 4 | 4 | docs/artefacts/collatz/local_E44_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p13.md | | 45 | 1 2 1 1 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 13 | 2 | 2 | 4 | docs/artefacts/collatz/local_E45_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p13.md | | 46 | 1 2 1 1 2 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 16 | 4 | 4 | 4 | docs/artefacts/collatz/local_E46_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p13.md | | 47 | 1 2 1 2 1 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | docs/artefacts/collatz/local_E47_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p13.md | | 48 | 1 2 1 2 1 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | docs/artefacts/collatz/local_E48_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p13.md | | 49 | 1 1 1 1 1 2 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | docs/artefacts/collatz/local_E49_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p13.md | | 50 | 1 1 1 1 1 4 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 11 | 2 | 2 | 2 | docs/artefacts/collatz/local_E50_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p13.md | | 51 | 1 1 1 1 2 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 23 | 2 | 2 | 2 | docs/artefacts/collatz/local_E51_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p13.md | | 52 | 1 1 1 1 3 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 10 | 2 | 2 | 2 | docs/artefacts/collatz/local_E52_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p13.md | | 53 | 1 1 1 2 1 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 15 | 2 | 2 | 2 | docs/artefacts/collatz/local_E53_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p13.md | | 54 | 1 1 1 2 2 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 20 | 2 | 2 | 2 | docs/artefacts/collatz/local_E54_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p13.md | | 55 | 1 1 2 1 1 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | docs/artefacts/collatz/local_E55_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p13.md | | 56 | 1 1 2 1 2 2 2 | 1 | 2^13 | 1 | 1 | 2 | 9 | | 0 | 0 | 2 | docs/artefacts/collatz/local_E56_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p13.md | | 57 | 1 1 2 2 1 2 2 | 1 | 2^13 | 1 | 1 | 2 | 9 | | 0 | 0 | 2 | docs/artefacts/collatz/local_E57_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p13.md | | 58 | 1 2 1 1 1 1 4 | 1 | 2^13 | 1 | 1 | 2 | 9 | | 0 | 0 | 2 | docs/artefacts/collatz/local_E58_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p13.md | | 59 | 1 2 1 1 2 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 10 | 2 | 2 | 2 | docs/artefacts/collatz/local_E59_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p13.md | | 60 | 1 2 1 2 1 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | docs/artefacts/collatz/local_E60_palier2p13 | docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p13.md |