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Model-theory threshold and axiom provenance
Family 240: Shelah's eventual categoricity and the prescribed-threshold obstruction. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Logic researchers can track uniform eventual categoricity thresholds and the separate CH obstruction to a prescribed threshold.
Applicability and commercial boundary
Infinite-cardinal categoricity is not finite database uniqueness or a schema-matching algorithm. ZFC and conditional claims need separate records.
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
Map cardinal and set-theoretic assumptions to exact statements.
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.