Book contents
- Frontmatter
- Contents
- Introduction
- Definability and elementary equivalence in the Ershov difference hierarchy
- A unified approach to algebraic set theory
- Brief introduction to unprovability
- Higher-order abstract syntax in type theory
- An introduction to b-minimality
- The sixth lecture on algorithmic randomness
- The inevitability of logical strength: Strict reverse mathematics
- Applications of logic in algebra: Examples from clone theory
- On finite imaginaries
- Strong minimal covers and a question of Yates: The story so far
- Embeddings into the Turing degrees
- Randomness—beyond Lebesgue measure
- The derived model theorem
- Forcing axioms and cardinal arithmetic
- Hrushovski's amalgamation construction
Introduction
Published online by Cambridge University Press: 28 January 2010
- Frontmatter
- Contents
- Introduction
- Definability and elementary equivalence in the Ershov difference hierarchy
- A unified approach to algebraic set theory
- Brief introduction to unprovability
- Higher-order abstract syntax in type theory
- An introduction to b-minimality
- The sixth lecture on algorithmic randomness
- The inevitability of logical strength: Strict reverse mathematics
- Applications of logic in algebra: Examples from clone theory
- On finite imaginaries
- Strong minimal covers and a question of Yates: The story so far
- Embeddings into the Turing degrees
- Randomness—beyond Lebesgue measure
- The derived model theorem
- Forcing axioms and cardinal arithmetic
- Hrushovski's amalgamation construction
Summary
These are the proceedings of the Logic Colloquium 2006, which was held July 27–August 2 at the Radboud University of Nijmegen in the Netherlands.
The Logic Colloquium is the annual European conference on logic, organized under the auspices of the Association for Symbolic Logic (ASL). The program of LC2006 consisted of a mixture of tutorials, invited plenary talks, special sessions, and contributed talks. Finally, there was a plenary discussion on Gödel's legacy, on the occasion of the 100th birthday of the great logician Kurt Gödel, moderated by William Tait. The program gave a good overview of the recent research developments in logic.
The tutorial speakers were Downey, Moerdijk, and Veličković. The invited plenary speakers were Abramsky, Arslanov, Friedman, Goldstern, Hrushovski, Koenigsmann, Lewis, Montalbán, Palmgren, Pohlers, Schimmerling, Steel, Tait, and Wagner. The five special sessions were devoted to computability theory, computer science logic, model theory, proof theory and type theory, and set theory.
For these proceedings we have invited the tutorial and plenary invited speakers—as well as one invited speaker from each of the special sessions—to submit a paper. All papers have been reviewed by independent referees. This has given rise to these proceedings, which give a good overview of the content and breadth of the Logic Colloquium 2006 and of the state of the art in logic at present.
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- Logic Colloquium 2006 , pp. ix - xPublisher: Cambridge University PressPrint publication year: 2009