c29bbaec4b
**Motivations:**
- Make C2 verification robust when completion documents provide counts instead of full residual lists
- Prepare the verifier to support additional completion transitions with the same artefact structure
**Root causes:**
- m=15→m=16 completion doc may omit residual list and only state |R_16^comp| = 2*|both| = 2202
**Correctifs:**
- Parse and validate declared |R_{m+1}^comp| size when present
- Add generic transition discovery output in verification JSON
**Evolutions:**
- Regenerate versioned C2 verification artefacts and run report
**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
- docs/collatz_run_report_2026-03-09_c2_projective.md
60 lines
1.7 KiB
JSON
60 lines
1.7 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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"transitions": [
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{
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"source": "completion_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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{
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"source": "completion_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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"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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"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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