Lecture Notes in Logic, 32 Logic Colloquium 2006   Barry Cooper, Herman Geuvers, Anand Pillay, Jouko Väänänen , editors

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.

Year: 2009
Price:$99.00 ISBN-13: 9780511601644
384 pages. Hardcover.
BUY NOW (when ordering, include the discount code ASL25 to receive the 25% ASL member discount)

 

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

 

 

 

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