Lecture Notes in Logic 17

Logic Colloquium ’99
Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, held in Utrecht, The Netherlands
August 1–6, 1999

Jan Van Eijck, Vincent Van Oostrom, and, Albert Visser (Editors)

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 research topics in all areas of mathematical logic, including logic in computer science, proof theory, set theory, model theory, computability theory, and philosophy.

Year: 2004
ISBN: 1-56881-199-3
230 pages. Hardcover.

Year: 2004
ISBN: 1-56881-203-5
230 pages. Paperback.

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Table of Contents

  • Survey Articles
  • Group actions and countable models.
    Greg Hjorth
  • Aspects of geometric model theory.
    Anand Pillay
  • Research Articles
  • The intuitionistic arithmetical hierarcy.
    Wolfgang Burr
  • On solvable groups and rings definable in o-minimal structures.
    Mário J. Edmundo
  • Logical topologies and semantic completeness.
    Valentin Goranko
  • Valued fields and elimination of imaginaries.
    Deirdre Haskell
  • Simple sets and $\Sigman_3$ ideals under m-reducibility
    Kejia Ho and Frank Stephan
  • Borel irreducibility between two large families of Borel equivalence relations.
    Vladimir Kanovei and Michael Reeken
  • Linear logic as a framework for specifying sequent calculus.
    Dale Miller and Elaine Pimentel
  • Kripke models of certain subtheories of Heyting Arithmetic
    Tomasz Polacik
  • From bounded structural rules to linear logic modalities.
    Andreja Prijatelj
  • A description of the non-sequential execution of Petri nets in partially commutative linear logic.
    Christian Retoré
  • A very slow growing hierarchy for $\Ganna_0$.
    Andreas Weiermann
  • First order logics of individual theories.
    Rostislav E. Yavorsky