**Motivations:** - Publish new Collatz palier runs and associated artefacts (C3 local descent, universal clauses, iteration protocol). - Extend the scripts toolbox to generate/verify clauses and build refinement certificates over S_m. **Root causes:** - Universal clause witnesses were lifted to 2^(A+1) even when the witness is already fixed modulo the domain palier, leading to unstable or unnecessarily weak/ambiguous modulus choices. - CSV palier inference in scission could mis-detect short column names (e.g. "m") by substring matching. **Correctifs:** - Lift D_exact/F witnesses to m_stable := max(m, A+1) in universal clause extraction and run reports. - Make scission palier/m column detection exact-match to avoid false positives. - Update C3 local descent verification/reporting to use strict fusion witness selection prioritizing lower modular stability and refreshed D/F metrics. - Add a dedicated run report profile for per-palier universal clauses. **Evolutions:** - Add scripts for terminal clauses and minorated descent clauses over S_m, their deterministic verification, and multi-level refinement certificate building. - Add modular tooling for register_K and incremental comparison of D_minor families. - Add/update feature documentation for the new pipelines and generated reports. **Pages affectées:** - applications/collatz/collatz_k_scripts/README.md - applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py - applications/collatz/collatz_k_scripts/collatz_generate_run_report.py - applications/collatz/collatz_k_scripts/collatz_iterate_palier_protocol.py - applications/collatz/collatz_k_scripts/collatz_scission.py - applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py - applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py - applications/collatz/collatz_k_scripts/*refinement*over_Sm*.py - applications/collatz/collatz_k_scripts/collatz_generate_*clauses_over_Sm.py - applications/collatz/collatz_k_scripts/collatz_verify_minorated_descent_clauses_over_Sm.py - applications/collatz/collatz_k_scripts/collatz_build_register_K_modular.py - applications/collatz/collatz_k_scripts/collatz_compare_dminor_families_incremental.py - applications/collatz/*.md - docs/features/*.md - docs/artefacts/collatz/** - docs/collatz_run_report_2026-03-09_*.md
25 lines
863 B
JSON
25 lines
863 B
JSON
{
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"state_id": 55,
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"base_palier": 12,
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"target_palier": 15,
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"delta_m": 3,
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"lift_size": 8,
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"d8": {
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"k": 8,
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"threshold_Ak": 13,
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"candidates": 2,
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"covered": 2,
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"certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p15/certificats/certificat_D8_E55_palier2p15.json"
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},
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"fusion": {
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"t_min": 9,
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"t_max_search": 120,
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"t_max_used": 13,
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"merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p15/candidats/candidats_F9to13_E55_palier2p15.csv",
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"certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p15/certificats/certificat_F9to13_E55_palier2p15.json",
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"clauses": 6,
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"covered": 6
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},
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"verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p15/audits/verification_H6_E55_palier2p15.md",
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"success": true
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} |