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OverviewRecent developments in computer science clearly show the need for a better theoretical foundation for some central issues. Methods and results from mathematical logic, in particular proof theory and model theory, are of great help here and will be used much more in future than previously. This book provides an excellent introduction to the interplay of mathematical logic and computer science. It contains extensively reworked versions of the lectures given at the 1997 Marktoberdorf Summer School by leading researchers in the field. Topics covered include: proof theory and specification of computation (J.-Y. Girard, D. Miller), complexity of proofs and programs (S. R. Buss, S. S. Wainer), computational content of proofs (H. Schwichtenberg), constructive type theory (P. Aczel, H. Barendregt, R. L. Constable), computational mathematics, (U. Martin), rewriting logic (J. Meseguer), and game semantics (S. Abramski). Full Product DetailsAuthor: Ulrich Berger , Helmut SchwichtenbergPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1999 Volume: 165 Dimensions: Width: 15.50cm , Height: 2.40cm , Length: 23.50cm Weight: 0.700kg ISBN: 9783642636707ISBN 10: 3642636705 Pages: 448 Publication Date: 29 October 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsGame Semantics.- Notes on the Simply Typed Lambda Calculus.- Problems in Type Theory.- Formal Correctness Proofs of Functional Programs: Dijkstra’s Algorithm, a Case Study.- Propositional Proof Complexity – An Introduction.- Formalizing Decidability Theorems About Automata.- On the Meaning of Logical Rules I: Syntax Versus Semantics.- Complexity of Primitive Recursion.- Computers, Reasoning and Mathematical Practice.- Research Directions in Rewriting Logic.- Sequent Calculus and the Specification of Computation.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |