Lecture Notes in Logic, 24

Logic Colloquium ’03

Viggo Stoltenberg-Hansen, Jouko Väänänen, editors

Year: 2006
ISBN: 1-56881-294-9
412 pages. Paperback.

Year: 2006
ISBN:1-56881-293-0
417 pages. Hardcover.

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A compilation of papers presented at the 2003 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium ’03 includes tutorials and research articles from some of the world’s preeminent logicians. One article is a tutorial on finite model theory and query languages that lie between first order and second order logic. The other articles cover current research topics in all areas of mathematical logic including Proof Theory, Set Theory, Model Theory, and Computability Theory, and Philosophy.

Table of Contents

Tutorial

  • Michael Benedikt
    Generalizing finite model theory

Research Articles

  • Arthur W. Apter
    Indestructibility and strong compactness
  • Charles M. Boykin and Steve Jackson
    Some applications of regular markers
  • Matthew Foreman
    Has the continuum hypothesis been settled?
  • Jean-Yves Girard
    Geometry of interaction IV:the feedback equation
  • Tapani Hyttinen
    On local modularity in homogeneous structures
  • Michael C. Laskowski
    Description set theory and uncountable model theory
  • Larisa Maksimova
    Decidable properties oflogical calculi and of varieties of algebras
  • Ralph Matthes
    Stabilization—an alternative to double-negations translation for classical natural deduction
  • Dag Normann
    Definability and reducibility in higher types over the reals
  • Erik Palmgren
    Predicativity problems in point-free topology
  • Wai Yan Pong
    Rank inequalities in the theory of differentially closed fields
  • Pavel Pudlák
    Consistency and games—in search of new combinatorial principles
  • Michael Rathjen
    Realizability for constructive Zermelo-Fraenkel set theory
  • Saharon Shelah
    On long EF-equivalence in non-isomorphic models
  • Richard A. Shore and Theodore A. Slaman
    The $\forall\exists$ theory of ${\mathcal D} (1leq,\vee,\prime)$ is undecidable
  • M.C. Stanley
    Cocovering and set forcing
  • J.V. Tucker and J.I. Zucker
    Abstract versus concrete computability: the case of countable algebras