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Provisional claim or open boundary

MMR-045

Claim MMR-045

Exact statement

Whether strong bisimulation is strictly finer than storage-context equivalence for trimmed gadgets remains open.

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

Run 6's strictness witness uses a dead gate and is removed by the condition that every internal vertex reach a boundary output. No productive replacement or restricted completeness theorem is yet proved.

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.