Recursion Theory Week
Proceedings of a Conference held in Oberwolfach, West Germany, April 15-21, 1984
(Sprache: Englisch)
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...
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Klappentext zu „Recursion Theory Week “
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.
Inhaltsverzeichnis zu „Recursion Theory Week “
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.
Autoren-Porträt
Prof. Dr. H.-D. Ebbinghaus ist Leiter des Instituts für Mathematische Logik an der Universität Freiburg. Durch Veröffentlichungen hat der Autor einen hohen Bekanntheitsgrad in der Hochschulmathematik.
Bibliographische Angaben
- 1985, 1985, 420 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgeber: Sacks, Gerald E., Müller, Gert H., Ebbinghaus, Heinz-Dieter
- Herausgegeben: Heinz-Dieter Ebbinghaus, Gerald E. Sacks, Gert H. Müller
- Verlag: Springer
- ISBN-10: 3540156739
- ISBN-13: 9783540156734
- Erscheinungsdatum: 01.08.1985
Sprache:
Englisch
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