Category Theory and Computer Programming: Tutorial and Workshop, Guildford, U.K., September 16 - 20, 1985. Proceedings

ISBN-13: 9783540171621 / Angielski / Miękka / 1986 / 522 str.

David Pitt; Samson Abramsky; Axel Poigne

Spis treści

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.