**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:**
- 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
