FPRD LabShare an approach

← Claims

Computational finding

MMR-027

Claim MMR-027

Exact statement

Exhaustive order-ideal search independently returns standalone peaks (3,3)(3,3) and composed peaks (2,3)(2,3) for the Run 3 pair.

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

matrix_realization_run3_check.py, SHA-256 0b4f24f972fc54f8060ba95a60269a0098a922a787318b40f68089f8a38fb2ae.

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.