Logic Colloquium 2006 (Lecture Notes in Logic)

Cambridge University Press, 9/7/2009
EAN 9780521110815, ISBN10: 0521110815

Hardcover, 384 pages, 23.5 x 15.8 x 2.5 cm
Language: English

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.

1. Definability and elementary equivalence in the Ershov difference hierarchy Marat M. Arslanov
2. A unified approach to algebraic set theory Benno van den Berg and Leke Moerdijk
3. Brief introduction to unprovability Andrey Bovykin
4. Higher-order abstract syntax in type theory Venanzio Capretta and Amy P. Felty
5. An introduction to b-minimality Raf Cluckers
6. The sixth lecture on algorithmic randomness Rod Downey
7. The inevitability of logical strength
strict reverse mathematics Harvey M. Friedman
8. Applications of logic in algebra
examples from clone theory
9. On infinite imaginaries Ehud Hrushovski
10. Strong minimal covers and a question of Yates
the story so far Andrew E. M. Lewis
11. Embeddings into the Turing degrees Antonio Montalban
12. Randomness - beyond Lebesgue measure Jan Reimann
13. The derived model theorem J. R. Steel
14. Forcing axioms and cardinal arithmetic Boban Velivckovic
15. Hrushovski's amalgamation construction Frank O. Wagner.