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