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Indexed Categories as a Tool for the Semantics of Computation
Andrzej Tarlecki
Rod M. Burstall
Oxford University Computing Laboratory. Programming Research Group
Joseph Goguen
出版
Oxford University Computing Laboratory, Programming Research Group
, 1989
URL
http://books.google.com.hk/books?id=nQ2NPgAACAAJ&hl=&source=gbs_api
註釋
Abstract: "This paper presents indexed categories, which model uniformly defined families of categories, and suggests that they are a useful tool for the working computer scientist. An indexed category gives rise to a single flattened category as a disjoint union of its component categories plus some additional morphisms. Similarly, an indexed functor (which is a uniform family of functors between the component categories) induces a flattened functor between the corresponding flattened categories. Under certain assumptions, flattened categories are (co)complete if all their components are, and flattened functors have left adjoints if all their components do.