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Computational finding

MMR-044

Claim MMR-044

Exact statement

A three-gate witness has equal completed stutter-trace languages and equal exact peaks over all 118 enumerated productive one-port contexts with at most four context gates.

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_run6_stutter_check.py`, SHA-256 `0e0e60b4302f88d85e0edb20ef2acf891f67cc94c384d0f83a5276f448351e3b`. Universal equivalence is proved analytically, not inferred from this enumeration.

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.