FPRD LabShare an approach

← Claims

Computational finding

MMR-090

Claim MMR-090

Exact statement

The normalized square BCLR curve has exact output-row coefficient maxima (12,48,60,24)(12,48,60,24) in degrees zero through three.

StatusVerified by retained finite computation; analytic proof is not implied
External reviewNo documented external or specialist review of the FPRD synthesis is recorded.

Context

This result belongs to the reconstruction from algebraic matrix-multiplication certificates to explicit arithmetic dependency DAGs and their resource receipts.

Hypotheses and scope

  • All resource conclusions are restricted to the arithmetic, storage, fan-out, coefficient, and precision models named in the source record.

Proof or evidence

Exact rational enumeration in matrix_realization_run10_bclr_square_check.py, SHA-256 d19ca16915992f71ae1249afcb720d192ec86618581f66792a2addd5bd492e34. These are coefficient-row norms, not necessarily sharp induced operator norms.

Mathematical overview and evidence boundary →

Verification notes

The exact checker and its recorded digest are preserved with the research record. This status remains computational until an analytic or formal proof is supplied.

Limitations

  • The record does not improve the known matrix-multiplication exponent and does not imply that omega equals two.
  • Construction bounds are not optimality, communication, I/O, or hardware claims unless the exact statement says so.

Open work

Obtain an independent implementation or analytic proof before any further promotion.