Algebraic and Coalgebraic Methods in the Mathematics of Program Construction: International Summer School and Workshop, Oxford, UK, April 10-14, 2000, Revised Lectures

الغلاف الأمامي
Roland Backhouse, Roy Crole, Jeremy Gibbons
Springer Berlin Heidelberg, 12‏/03‏/2014 - 390 من الصفحات
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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Roland Backhouse leads the Foundations of Programming research group at the University of Nottingham. He returned to the UK in 1999 after spending 13 years in the Netherlands, 9 of which as professor at Eindhoven University of Technology (the institution that pioneered the style of reasoning and construction of programs that forms the basis for this book).

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