A point-free perspective on lax extensions and predicate liftings
Sergey Goncharov,
Dirk Hofmann,
Pedro Nora
et al.
Abstract:Lax extensions of set functors play a key role in various areas, including topology, concurrent systems, and modal logic, while predicate liftings provide a generic semantics of modal operators. We take a fresh look at the connection between lax extensions and predicate liftings from the point of view of quantale-enriched relations. Using this perspective, we show in particular that various fundamental concepts and results arise naturally and their proofs become very elementary. Ultimately, we prove that every… Show more
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