Algebraic and Coalgebraic Methods in the Mathematics of Program Construction
International Summer School and Workshop, Oxford, UK, April 10-14, 2000, Revised Lectures
Published on 31. July 2003
XIV, 390 pages
978-3-540-47797-6 (ISBN)
Description
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.
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.
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Roland Backhouse | Roy Crole | Jeremy Gibbons
Algebraic and Coalgebraic Methods in the Mathematics of Program Construction
International Summer School and Workshop, Oxford, UK, April 10-14, 2000, Revised Lectures
Book
04/2002
Springer
€53.49
Shipment within 10-15 days
Content
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.
