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- W4298068611 abstract "Refinement types are types equipped with predicates that specify preconditions and postconditions of underlying functional languages. We propose a general semantic construction of dependent refinement type systems from underlying type systems and predicate logic, that is, a construction of liftings of closed comprehension categories from given (underlying) closed comprehension categories and posetal fibrations for predicate logic. We give sufficient conditions to lift structures such as dependent products, dependent sums, computational effects, and recursion from the underlying type systems to refinement type systems. We demonstrate the usage of our construction by giving semantics to a refinement type system and proving soundness." @default.
- W4298068611 created "2022-10-01" @default.
- W4298068611 creator A5090422035 @default.
- W4298068611 date "2020-10-16" @default.
- W4298068611 modified "2023-10-16" @default.
- W4298068611 title "General Semantic Construction of Dependent Refinement Type Systems, Categorically" @default.
- W4298068611 doi "https://doi.org/10.48550/arxiv.2010.08280" @default.
- W4298068611 hasPublicationYear "2020" @default.
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