ace28bbecf
**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
61 lines
1.8 KiB
JSON
61 lines
1.8 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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]
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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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"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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