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Computability-degree rigidity reference
Family 241: Rigidity of the Turing degrees. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Logic researchers can record the exact order-rigidity result for Turing degrees.
Applicability and commercial boundary
Degree rigidity does not classify arbitrary program runtime, provide an effective equivalence decider or optimize a compiler.
Initial business decision
Research reference or conditional symbolic/verification engineering. No practical implementation, recurring buyer need or profitability has been demonstrated; a weak business bridge is explicitly deferred.
Next verification action
Extract a teaching example and proof-dependency record rather than a direct commercial product.
Evidence scope
The catalog statement was individually reviewed. Main-paper proof, construction effectiveness and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.