Decision Matrix Phase 2 v0.1

Date: 2026-04-19Purpose: decision-making consolidation of theorems remaining in the in_proof block.

Scope phase 2

• F03, F08, F10- D04- A02, A03

Decision rule (consistent with phase 1)

• validated: only with full closure protocol criteria + robust audit.- revise: partial/positive evidence but not yet sufficient for validated.- reject: Robust forgery.

Decision matrix (phase 2)

| Theorem | Current evidence status | Decision phase 2 | Reason || --- | --- | --- | --- | | F03 | proof sketch present, formal closure not certified in theorem-level audit | revise | requires finalized proof and independent verification || F08 | proof sketch present, no dedicated external verification package | revise | requires complete formal closure || F10 | proof sketch present, conservative reduction not yet audited end-to-end | revise | requires full demonstration and cross-layer check || D04 | in_proof theorem without multi-context finalized benchmark | revise | conclusive experimental validation is missing || A02 | defined protocol, dedicated cycle not completed with final audit | revise | complete benchmark evidence missing || A03 | defined protocol, dedicated cycle not completed with final audit | revise | complete benchmark evidence missing |

Note

No phase 2 theorem is reject at the current date; the classification is conservativeand oriented towards pre-publication robustness.