Cambridge University Press, 9/7/2009EAN 9780521110815, ISBN10: 0521110815Hardcover, 384 pages, 23.5 x 15.8 x 2.5 cmLanguage: EnglishThe 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. Arslanov2. A unified approach to algebraic set theory Benno van den Berg and Leke Moerdijk3. Brief introduction to unprovability Andrey Bovykin4. Higher-order abstract syntax in type theory Venanzio Capretta and Amy P. Felty5. An introduction to b-minimality Raf Cluckers6. The sixth lecture on algorithmic randomness Rod Downey7. The inevitability of logical strengthstrict reverse mathematics Harvey M. Friedman8. Applications of logic in algebraexamples from clone theory9. On infinite imaginaries Ehud Hrushovski10. Strong minimal covers and a question of Yatesthe story so far Andrew E. M. Lewis11. Embeddings into the Turing degrees Antonio Montalban12. Randomness - beyond Lebesgue measure Jan Reimann13. The derived model theorem J. R. Steel14. Forcing axioms and cardinal arithmetic Boban Velivckovic15. Hrushovski's amalgamation construction Frank O. Wagner.
