FPRD LabShare an approach

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Computational finding

MMR-040

Claim MMR-040

Exact statement

Finite computation confirms the naive 625→256625\to256 quotient, a quotient/monolithic sewn peak of 4, the same-label peaks 2 and 3, and Run 3 quotient sizes 12→1212\to12.

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_run5_bisimulation_check.py, SHA-256 a283c1c7615cf27a4c247483bc8ca876677b1b4e32d297cb6d72623c226a72ec.

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.