Context
The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.
Proof or evidence
the finite- estimate is the classical stationary-partition -set argument specialized to the verified BCLR coefficient matrices.
Verification notes
The failure status and preserved lesson are recorded in the cumulative failure ledger.
Limitations
- the value is the exact certificate-specific receipt and common-DAG audit, not priority for numerical stability of fast multiplication.