Computational Logic

Author:   Ulrich Berger ,  Helmut Schwichtenberg
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   165
ISBN:  

9783642636707


Pages:   448
Publication Date:   29 October 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Computational Logic


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Overview

Recent 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 Details

Author:   Ulrich Berger ,  Helmut Schwichtenberg
Publisher:   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:  

9783642636707


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Game 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.

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