Programming Concepts Methods And Calculi


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Mathematics of Program Construction


Mathematics of Program Construction

Author: Bernhard Möller

language: en

Publisher: Springer Science & Business Media

Release Date: 1995-07-10


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This volume constitutes the proceedings of the Third International Conference on the Mathematics of Program Construction, held at Kloster Irsee, Germany in July 1995. Besides five invited lectures by distinguished researchers there are presented 19 full revised papers selected from a total of 58 submissions. The general theme is the use of crisp, clear mathematics in the discovery and design of algorithms and in the development of corresponding software and hardware; among the topics addressed are program transformation, program analysis, program verification, as well as convincing case studies.

Mathematics of Program Construction


Mathematics of Program Construction

Author: Johan Jeuring

language: en

Publisher: Springer Science & Business Media

Release Date: 1998-05-27


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This book consitutes the refereed proceedings of the 4th International Conference on Mathematics of Program Construction, MPC'98, held in Marstrand, near Goteborg, Sweden, in June 1998. The 17 revised full papers presented were selected from 57 submissions; also included are three invited contributions. The volume is devoted to the use of crisp, clear mathematics in the discovery and design of algorithms and in the development of corresponding software and hardware; varoius approaches to formal methods for systems design and analysis are covered.

Algebraic and Coalgebraic Methods in the Mathematics of Program Construction


Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

Author: Roland Backhouse

language: en

Publisher: Springer

Release Date: 2003-07-31


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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.