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Provisional claim or open boundary

MMR-066

Claim MMR-066

Exact statement

The ownership-aware schedule may satisfy the exact identity S(N)=3N2−2S(N)=3N^2-2 for all powers of two.

StatusProvisional; not promoted beyond the source ledger
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

Exact finite support through N=32N=32 only. The analytic result currently proved is MMR-062.

Mathematical overview and evidence boundary →

Verification notes

The source ledger explicitly withholds promotion; the public record preserves that boundary.

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

Resolve the stated proof or model obligation before increasing its evidence level.