2018Unpublished venueOpen access

Extensional and Intensional Semantic Universes

Valentin Blot, Jim Laird

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Abstract

We describe a dependent type theory, and a denotational model for it, that incorporates both intensional and extensional semantic universes. In the former, terms and types are interpreted as strategies on certain graph games, which are concrete data structures of a generalized form, and in the latter as stable functions on event domains.

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We describe a dependent type theory, and a denotational model for it, that incorporates both intensional and extensional semantic universes. In the former, terms and types are interpreted as strategies on certain graph games, which are concrete data structures of a generalized form, and in the latter as stable functions on event domains.

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Available abstract

We describe a dependent type theory, and a denotational model for it, that incorporates both intensional and extensional semantic universes. In the former, terms and types are interpreted as strategies on certain graph games, which are concrete data structures of a generalized form, and in the latter as stable functions on event domains.

Key concepts: Extensional definition, Computer science, Graph, Semantics (computer science), Theoretical computer science, Programming language, Geology, Seismology

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