appendix sectiontutorials
ch:intersection-union: ch:intersection-union
Normalize each finite type into positive and negative atoms, then make every failed inclusion return a graph checked against both normal forms. Run the four Kappa gates on artifacts/ch20-semantic-subtyping/corpus.kp; require the eight frozen cases and empty audit. Replay three independent controls: remove the check but fails test. The witness table is the acceptance oracle; simulation completeness and safety remain mathematical theorems.