Compressed strong paving scope audit

Family 300: Approximation and quadratic strong-operator paving. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Investigate the quadratic block-count bound for strong-operator paving after compression near the identity.

Applicability and commercial boundary

Compressed strong paving is distinct from uncompressed operator-norm paving. A block-count bound does not imply an efficient finite algorithm.

Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

Next verification action

Extract constants, topology and finite constructive examples.

Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Approximation Paving over Arbitrary Maximal Abelian Subalgebras.