**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:**
- Produce a deterministic bridge from C3 local witnesses to universal-clause candidates (D/F) usable in later H4/H5 formalization.
**Root causes:**
- Local witnesses (Lift(B12)-scoped) were not exportable into a versioned, machine-checkable clause artefact.
**Correctifs:**
- Add deterministic extraction with minimal stable modulus lifting for D_exact/F and local encoding for D_brother dependencies.
- Add deterministic verifier checking arithmetic consistency, lifting stability, and brother↔mate relation.
**Evolutions:**
- Version universal clause artefacts (JSON/MD) under `docs/artefacts/collatz/universal_clauses/`.
- Document the feature and reproduction steps in `docs/features/`.
**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py
- applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py
- docs/artefacts/collatz/universal_clauses/*
- docs/features/collatz_universal_clause_extraction_optionA.md
**Motivations:**
- Extend C2 multi-transition chain beyond m=16
- Keep deterministic C2 artefacts aligned with new completion docs
**Root causes:**
- No completion doc existed for m>16, so C2 verifier couldn’t include it
**Correctifs:**
- Add complétion_minorée_m16_vers_m17.md with exhaustive both(m=16) list and declared |R_17^comp|
- Regenerate C2 deterministic artefacts and run report to include the new transition
**Evolutions:**
- None
**Pages affectées:**
- applications/collatz/collatz_k_scripts/complétion_minorée_m16_vers_m17.md
- 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
**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
**Motivations:**
- Instrument the C3 “final lock” as a citeable deterministic artefact
- Provide a reproducible check over Lift(B12) at palier 2^13 using D8/Fusion witnesses
**Root causes:**
- C3 lacked a machine-checkable artefact aligned with the run-report standard
**Correctifs:**
- Add a deterministic verifier that checks fusion witnesses (m<n and U(m)=U^t(n)) and aggregates N* where computable
**Evolutions:**
- Version C3 verification artefacts under docs/artefacts
- Add run report profile c3_local_descent (sha256 + metrics)
- Document the new profile and reference the artefacts in the proof plan
**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.json
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent.md
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- docs/collatz_run_report_2026-03-09_c3_local_descent.md
- docs/collatz_run_report_format.md
- docs/features/collatz_run_report_generator.md
- docs/features/collatz_c3_local_descent_verification.md
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
**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
**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
**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
**Motivations:**
- Make H6(E1) artefacts citeable/reproducible in-repo
- Generate a standard report without relying on ignored OUT/
**Root causes:**
- applications/collatz/out/ is Git-ignored, so local artefacts cannot be versioned there
**Correctifs:**
- Add strict set-equality check for H6(E1) lifted domain coverage
- Canonicalize H6(E1) artefact paths in the audit and plan
**Evolutions:**
- Add `local_H6_E1` profile to the run report generator
- Document the new profile in run report docs
**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_generate_run_report.py
- applications/collatz/collatz_k_scripts/plan_lemmes_manquants_et_programme_de_preuve.md
- docs/collatz_run_report_format.md
- docs/features/collatz_run_report_generator.md
- docs/artefacts/collatz/local_E1_palier2p13/**
- docs/collatz_run_report_2026-03-09_local_H6_E1.md
