**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
**Motivations:**
- Materialize the next iteration step (C1 at 2^14, then C3 at 2^14, then universal clauses from that C3).
**Root causes:**
- The palier 2^14 iteration was missing versioned artefacts and run reports, so it was not citable.
**Correctifs:**
- Generate local H6(E) artefacts for all 60 states at palier 2^14 and update `local_H6_index.md`.
- Generate deterministic C3 verification at palier 2^14 and extract/verify universal clauses under `universal_clauses/palier2p14/`.
**Evolutions:**
- Add run reports for all local H6 palier2p14 states, plus C3 palier2p14 and universal_clauses palier2p14.
- Add an iteration protocol instance seeded from C3 palier2p14 (targeting palier 2^15).
**Pages affectées:**
- docs/artefacts/collatz/local_E*_palier2p14/**
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.{json,md}
- docs/artefacts/collatz/universal_clauses/palier2p14/**
- docs/artefacts/collatz/iteration_protocol/palier2p14/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p14.md
- docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
- docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md
**Motivations:**
- Make H6(E) checks reproducible and citeable for all 60 B12 states
- Provide an aggregated view of Δm(E) and minimal observed horizons
**Root causes:**
- applications/collatz/out/ is Git-ignored, so local H6 artefacts must live in versioned docs paths
- Per-state H6 evidence was previously limited to E1
**Correctifs:**
- Replace ambiguous palier inference for local certificates with explicit palier in JSON
**Evolutions:**
- Add a generator for versioned local H6 artefacts (per state) at palier 2^13
- Generate per-state local H6 run reports and a versioned aggregated index
- Reference the aggregated index from the proof plan
**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_generate_local_h6_artefacts.py
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/local_E*_palier2p13/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p13.md
- docs/features/collatz_local_h6_artefacts_and_index.md
