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Specialization of a published theorem

MMR-118

Claim MMR-118

Exact statement

The ASI application is not literal scheduling or block-diagonal embedding of the supplied batch DAG; it is a separate asymptotic tensor transformation whose theorem statement omits non-multiplicative executable resources.

StatusSpecialized from a cited published theorem
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

Run 13 seam analysis, positioned against Schönhage's theorem, Ambainis--Filmus--Le Gall, and Alman--Li. Constructive ASI proofs exist; no claim of general non-effectivity.

Mathematical overview and evidence boundary →

Verification notes

The bibliography retains the primary-source attribution. The public record does not treat publication of the underlying theorem as review of this FPRD synthesis.

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

Confirm the primary citation, hypotheses, and exact scope through an independent source audit.