Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

ISBN 10: 3540436138 / ISBN 13: 9783540436133

Editore: Springer, 2002

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pp. 408. Codice articolo 26481578

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Titolo: Algebraic and Coalgebraic Methods in the ...

Casa editrice: Springer

Data di pubblicazione: 2002

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

Program construction is about turning specifications of computer software into implementations. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory, and allegory theory.
This textbook-like tutorial presents, besides an introduction, eight coherently written chapters by leading authorities on ordered sets and complete lattices, algebras and coalgebras, Galois connections and fixed point calculus, calculating functional programs, algebra of program termination, exercises in coalgebraic specification, algebraic methods for optimization problems, and temporal algebra.

Contenuti:

Ordered Sets and Complete Lattices.- Algebras and Coalgebras.- Galois Connections and Fixed Point Calculus.- Calculating Functional Programs.- Algebra of Program Termination.- Exercises in Coalgebraic Specification.- Algebraic Methods for Optimization Problems.- Temporal Algebra.