## Logic Colloquium 2006

Barry Cooper, Herman Geuvers, Anand Pillay, Jouko Väänänen , editors

Year: 2009

ISBN-13: 9780511601644

384 pages. Hardcover.

Buy now (when ordering, include the discount code ASL2016 to receive the 25% ASL member discount)

The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. The most topical areas of current research are covered: valued fields, Hrushovski constructions (from model theory), algorithmic randomness, relative computability (from computability theory), strong forcing axioms and cardinal arithmetic, large cardinals and determinacy (from set theory), as well as foundational topics such as algebraic set theory, reverse mathematics, and unprovability. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

### Table of Contents

- Marat M. Arslanov

Definability and elementary equivalence in the Ershov difference hierarchy - Benno van den Berg and Leke Moerdijk

A unified approach to algebraic set theory - Andrey Bovykin

Brief introduction to unprovability - Venanzio Capretta and Amy P. Felty

Higher-order abstract syntax in type theory - Raf Cluckers

An introduction to b-minimality - Rod Downey

The sixth lecture on algorithmic randomness - Harvey M. Friedman

The inevitability of logical strength: strict reverse mathematics - Martin Goldstern

Applications of logic in algebra: examples from clone theory - Ehud Hrushovski

On infinite imaginaries - Andrew E. M. Lewis

Strong minimal covers and a question of Yates: the story so far - Antonio Montalban

Embeddings into the Turing degrees - Jan Reimann

Randomness – beyond Lebesgue measure - J. R. Steel

The derived model theorem - Boban Velivckovic

Forcing axioms and cardinal arithmetic - Frank O. Wagner

Hrushovski’s amalgamation construction