Theorem, construction, or exact resource formula

MMR-116

Claim MMR-116

Exact statement

A strongly disjoint survivor set of a partitioned tensor power, together with explicit constituent isomorphisms, compiles by coordinate zeroing into a labelled direct-sum batch with zero arithmetic gates for the masks in the hardwired model.

StatusProved in the FPRD research record
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 §4. Mask construction, indexing, and data movement are excluded and must be separate receipt fields in uniform/bit models.

Verification notes

The analytic argument is preserved in the research record. Independent external review is not recorded.

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

Independently re-audit the complete derivation before any further promotion.