algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json
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

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2.2 KiB
JSON

{
"inputs": {
"noyau_both_base_4096_md": "applications/collatz/collatz_k_scripts/noyau_both_base_4096.md",
"completion_docs": [
"applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md",
"applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md",
"applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md"
]
},
"B12": {
"count": 192,
"min": 27,
"max": 4095
},
"transitions": [
{
"source": "applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md",
"palier_parent": 14,
"palier_child": 15,
"both_parent_count": 593,
"computed_children_count": 1186,
"listed_residual_count": 1186,
"children_equals_listed_residual": true,
"projection_mod_4096_equals_b12": true
},
{
"source": "applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md",
"palier_parent": 15,
"palier_child": 16,
"both_parent_count": 1101,
"computed_children_count": 2202,
"listed_residual_count": 2202,
"children_equals_listed_residual": null,
"projection_mod_4096_equals_b12": true
},
{
"source": "applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md",
"palier_parent": 16,
"palier_child": 17,
"both_parent_count": 2202,
"computed_children_count": 4404,
"listed_residual_count": 4404,
"children_equals_listed_residual": null,
"projection_mod_4096_equals_b12": true
}
],
"checks": {
"m14_to_m15": {
"palier_parent": 14,
"palier_child": 15,
"both_parent_count": 593,
"computed_children_count": 1186,
"listed_residual_count": 1186,
"children_equals_listed_residual": true,
"projection_mod_4096_equals_b12": true
},
"m15_to_m16": {
"palier_parent": 15,
"palier_child": 16,
"both_parent_count": 1101,
"computed_children_count": 2202,
"listed_residual_count": 2202,
"children_equals_listed_residual": null,
"projection_mod_4096_equals_b12": true
}
},
"ok": {
"all_transitions_project_to_B12": true,
"all_listed_residuals_match_children": true
}
}