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Computer Science - Theoretical Computer Science | Computational Logic

Computational Logic

Proceedings of the NATO Advanced Study Institute on Computational Logic, held in Marktoberdorf, Germany, July 29 - August 10, 1997

Series: Nato ASI Subseries F:, Vol. 165

Berger, Ulrich, Schwichtenberg, Helmut (Eds.)

1999, IX, 448 p.

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  • About this book

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).

Content Level » Research

Keywords » Complexity theory - Komplexitätstheorie - Program specification - Program verification - Type theory - Typentheorie - complexity - computer - logic - proof theory - semantics

Related subjects » Communication Networks - Software Engineering - Theoretical Computer Science

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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