Recursion Theory Week: Proceedings of the Conference Held Oberwolfach, W Germany, April 15-21, 1984 (Lecture Notes in Mathematics) - Softcover

Softcover

ISBN 10: 0387156739 ISBN 13: 9780387156736

Publisher: Springer Verlag, 1985

Synopsis

Generators of the recursively enumerable degrees.- Kleene degrees of ultrafilters.- Recursion theory on strongly ?2 inadmissible ordinals.- Applications of the low-basis theorem in arithmetic.- Strong reducibilities in ?- and ?-recursion theory.- Embeddings and extensions of embeddings in the r.e. tt and wtt-degrees.- An immune partition of the ordinals.- An application of ? 2 1 -logic to descriptive set theory.- Probabilistic machines, oracles, and quantifiers.- Minimal polynomial degrees of nonrecursive sets.- Genericity for recursively enumerable sets.- Sets of everywhere singular functions.- Measure, ? 1 0 -classes and complete extensions of PA.- On the ordering of classes in high/low hierarchies.- Generic objects in recursion theory.- The structure of m-degrees.- Some open questions in recursion theory.- Absolute type 2 objects.- Recursion theoretic aspects of the dual ramsey theorem.- Reflection and the priority method in E-recursion theory.- Subrecursive ordinals.

Edition details

• Publisher: Springer Verlag
• Publication date: 1985
• Language: English
• ISBN 10: 0387156739
• ISBN 13: 9780387156736
• Binding: Paperback
• Number of pages: 418
• Editor: Heinz-Dieter Ebbinghaus, G.E. Sacks, Georg Müller