Failed approach · scope boundary

MRF-005

Treating 18 additions as optimal for every rank-seven $2\times2$ scheme

Exact statement

Treating 18 additions as optimal for every rank-seven 2×22\times2 scheme. Run 1 fixes the standard Strassen formulas. The Winograd variant and other linear circuits have different additive counts.

Statusfalse framing; excluded.
External reviewNo documented external or specialist review of the FPRD synthesis is recorded.

Context

The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.

Proof or evidence

Run 1 fixes the standard Strassen formulas. The Winograd variant and other linear circuits have different additive counts.

Verification notes

The failure status and preserved lesson are recorded in the cumulative failure ledger.

Limitations

  • record the actual input/output linear circuits, not only the seven multiplicative terms.

Open work

Keep this exclusion attached to any future reuse of the corresponding construction.