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Computational finding

MMR-051

Claim MMR-051

Exact statement

Every one of the nine depth-four balanced standard-Strassen associations has recursive-frontier pair (6,6)(6,6).

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

Same checker; separate exact enumeration of the nine balanced pairings.

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.