Algebraic and Coalgebraic Methods in the Mathematics of Program Construction
International Summer School and Workshop, Oxford, UK, April 10-14, 2000, Revised Lectures
Seiten
2002
|
2002
Springer Berlin (Verlag)
978-3-540-43613-3 (ISBN)
Springer Berlin (Verlag)
978-3-540-43613-3 (ISBN)
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.
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.
| Erscheint lt. Verlag | 17.4.2002 |
|---|---|
| Reihe/Serie | Lecture Notes in Computer Science |
| Zusatzinfo | XIV, 390 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 572 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Software Entwicklung |
| Informatik ► Theorie / Studium ► Compilerbau | |
| Schlagworte | algebraic methods • Allegory Theory • Calculus • category theory • Coalgebraic Methods • correct software design • Fixpoint Calculus • formal methods • formal specification • Hardcover, Softcover / Informatik, EDV/Informatik • HC/Informatik, EDV/Informatik • lattice theory • Program Construction • Program Development • Sets • universal algebra |
| ISBN-10 | 3-540-43613-8 / 3540436138 |
| ISBN-13 | 978-3-540-43613-3 / 9783540436133 |
| Zustand | Neuware |
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