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Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

International Summer School and Workshop, Oxford, UK, April 10-14, 2000, Revised Lectures

  • Textbook
  • © 2002

Overview

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 2297)

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About this book

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.

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Keywords

Table of contents (9 chapters)

Editors and Affiliations

  • School of Computer Science and IT, University of Nottingham, Nottingham, UK

    Roland Backhouse

  • Dept. of Mathematics and Computer Science, University of Leicester, Leicester, UK

    Roy Crole

  • Oxford University Computing Laboratory, Oxford, UK

    Jeremy Gibbons

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