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Literature calibration

MMR-065

Claim MMR-065

Exact statement

Constant-factor bounded-fanout transformations preserving constant-factor size and depth for bounded-fanin logical networks are classical.

StatusEstablished in cited literature and retained as calibration
External reviewThe cited result appears in external literature; that publication is not external review of the FPRD synthesis.

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

Hoover–Klawe–Pippenger, JACM 31 (1984), DOI 10.1145/2422.322412. Run 8 therefore makes no novelty claim for asymptotic fan-out preservation.

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.