Download or read book Algebraic and Coalgebraic Methods in the Mathematics of Program Construction written by Roland Backhouse and published by Springer. This book was released on 2003-07-31 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.