Lecture Notes in Computer Science 2297 Algebraic and Coalgebraic Methods in the Mathematics of Program Construction International Summer School and Workshop Oxford,UK,April 10-14,2000

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. 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. Roland Backhouse, Roy Crole, Jeremy Gibbons, Eds. Includes Bibliographical References And Index. "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"--Publisher's description This volume is an up-to-date introduction to developments in the calculational construction of computer programs, with particular emphasis on the use of…