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Category Theory and Computer Programming

Editat de David Pitt, Samson Abramsky, Axel Poigne, David Rydeheard
en Limba Engleză Paperback – oct 1986

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Specificații

ISBN-13: 9783540171621
ISBN-10: 3540171622
Pagini: 532
Ilustrații: X, 522 p.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.8 kg
Ediția:1986
Editura: Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.