Category theory and computer programming : Tutorial and Workshop, Guildford, U.K., September 16-20, 1985 : proceedings
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書誌事項
Category theory and computer programming : Tutorial and Workshop, Guildford, U.K., September 16-20, 1985 : proceedings
(Lecture notes in computer science, 240)
Springer-Verlag, c1986
- : gw
- : us
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注記
Includes bibliographical references
内容説明・目次
目次
Categories.- Elements of categorical reasoning : Products and coproducts and some other (co-)limits.- Functors and natural transformations.- Adjunctions.- Cartesian closure - Higher types in categories.- Algebra categorically.- Category theory and logic.- Categories, data types, and imperative languages.- Category theory and programming language semantics: An overview.- Weakest preconditions: Categorical insights.- A categorical view of weakest liberal preconditions.- Functor-category semantics of programming languages and logics.- Finite approximation of spaces.- Categories of partial morphisms and the ?P-calculus.- A note on distributive laws and power domains.- Category theory and models for parallel computation.- Categorical models of process cooperation.- Galois connections and computer science applications.- A study in the foundations of programming methodology: Specifications, institutions, charters and parchments.- Bits and pieces of the theory of institutions.- Extended ML: An institution-independent framework for formal program development.- Behavioural program specification.- Key extensions of abstract data types, final algebras, and database semantics.- Theories as categories.- Internal completeness of categories of domains.- Formalising the network and hierarchical data models - an application of categorical Logic.- A categorical unification algorithm.- Computing with categories.
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