Category Theory and Computer Programming

David Pitt

ISBN 10: 3540171622 / ISBN 13: 9783540171621

Editore: Springer Berlin Heidelberg Okt 1986, 1986

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 532 pp. Englisch.

Codice articolo 9783540171621

Dati bibliografici

• Titolo: Category Theory and Computer Programming
• Editore: Springer Berlin Heidelberg Okt 1986
• Data di pubblicazione: 1986
• Lingua: Inglese
• ISBN 10: 3540171622
• ISBN 13: 9783540171621
• Rilegatura: Taschenbuch
• Condizione: Neu

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Contenuti

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.