**Motivations:** - Make Lemma C2 assertions citeable without terminal transcripts - Provide a deterministic check for “both-children residual” and projective projection to B12 **Root causes:** - C2 relied on narrative links between completion docs and B12 invariance without a machine-checkable artefact **Correctifs:** - Add a deterministic verifier that checks set equalities and projections from the existing completion MD sources **Evolutions:** - Version C2 verification artefacts in docs/artefacts - Add a run report profile (sha256 + metrics) for C2 projective verification - Update the proof plan with explicit C2 statements and references **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 - docs/collatz_run_report_format.md - docs/features/collatz_run_report_generator.md - docs/features/collatz_c2_projective_verification.md - applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
38 lines
1.1 KiB
JSON
38 lines
1.1 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_m14_to_m15_md": "applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md",
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"completion_m15_to_m16_md": "applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md"
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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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"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": null,
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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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"m14_to_m15_children_equals_listed_residual": true,
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"m14_projection_equals_b12": true,
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"m15_projection_equals_b12": true
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}
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}
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