Logic Colloquium '99: (Series Number 17 Lecture Notes in Logic)

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the seventeenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Utrecht, The Netherlands in August, 1999. It 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 geometric model theory and the descriptive set theory of group actions. The other articles cover current research topics in all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.

Table of Contents:
Part I. Survey Articles: 1. Group actions and countable models Greg Hjorth; 2. Aspects of geometric model theory Anand Pillay; Part II. Research Articles: 3. The intuitionistic arithmetical hierarchy Wolfgang Burr; 4. On solvable groups and rings definable in o-minimal structures Mário J. Edmundo; 5. Logical topologies and semantic completeness Valentin Golanko; 6. Valued fields and elimination of imaginaries Deirdre Haskell; 7. Simple sets and Σ3 ideals under m-reducibility Kejia Ho and Frank Stephan; 8. Borel irreducibility between two large families of Borel equivalence relations Vladimir Kanovei and Michael Reeken; 9. Linear logic as a framework for specifying sequent calculus Dale Miller and Elaine Pimentel; 10. Kripke models of certain subtheories of Heyting arithmetic Tomasz Połacik; 11. From bounded structural rules to linear logic modalities Andreja Prijatelj; 12. A description of non-sequential execution of Petri nets in partially commutative linear logic Christian Retoré; 13. A very slow growing hierarchy for Γ0 Andreas Weiermann; 14. First order logics of individual theories Rostislav E. Yavorsky.

About the Author :
Jan Van Eijck works in the Centre for Mathematics and Computer Science, Amsterdam. Vincent van Oostrom works in the Department of Philosophy at Universiteit Utrecht, The Netherlands. Albert Visser works in the Department of Philosophy at Universiteit Utrecht, The Netherlands.