Computational Logic

Author:   Ulrich Berger ,  Helmut Schwichtenberg
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Volume:   165
ISBN:  

9783540645894


Pages:   448
Publication Date:   14 April 1999
Format:   Hardback
Availability:   In Print   Availability explained
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Computational Logic


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
Volume:   165
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   1.810kg
ISBN:  

9783540645894


ISBN 10:   3540645896
Pages:   448
Publication Date:   14 April 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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