Logic Colloquium '99: Lecture Notes in Logic 17

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Overview

A compilation of papers presented at the 1999 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '99 includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of current research in two active areas of logic, geometric model theory and descriptive set theory of group actions. The other articles cover current reseach topics in all areas of mathematical logic, including logic in computer science, proof theory, set theory, model theory, computability theory, and philosophy.

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Editorial Reviews

From the Publisher
… The collection gives a good picture of the situation in logic at the millenium.-C.W. Kilmister, The Mathematical Gazette, July 2005
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Product Details

Table of Contents

Group actions and countable models 3
Aspects of geometric model theory 30
The intuitionistic arithmetical hierarchy 51
On solvable groups and rings definable in o-minimal structures 60
Logical topologies and semantic completeness 68
Valued fields and elimination of imaginaries 80
Simple sets and [Sigma][subscript 3] ideals under m-reducibility 89
Borel irreducibility between two large families of Borel equivalence relations 100
Linear logic as a framework for specifying sequent calculus 111
Kripke models of certain subtheories of Heyting arithmetic 136
From bounded structural rules to linear logic modalities 143
A description of the non-sequential execution of Petri nets in partially commutative linear logic 152
A very slow growing hierarchy for [Gamma][subscript 0] 182
First order logics of individual theories 200
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