Goncharov S, Hofmann D, Nora P, Schröder L, Wild P (2023)
Publication Type: Journal article
Publication year: 2023
DOI: 10.1017/S096012952300035X
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 lax extension is induced by a class of predicate liftings; we discuss several implications of this result.
APA:
Goncharov, S., Hofmann, D., Nora, P., Schröder, L., & Wild, P. (2023). A point-free perspective on lax extensions and predicate liftings. Mathematical Structures in Computer Science. https://doi.org/10.1017/S096012952300035X
MLA:
Goncharov, Sergey, et al. "A point-free perspective on lax extensions and predicate liftings." Mathematical Structures in Computer Science (2023).
BibTeX: Download