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
Sealed duplication of the common evaluated DAG plus a coefficient-explicit balanced interpolation tree and scalar-wise serial accumulator. Evaluation-level fan-out-two copying is not included.
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.