Recursion theory week : proceedings of a conference held in Oberwolfach, West Germany, April 15-21, 1984

Bibliographic Information

Recursion theory week : proceedings of a conference held in Oberwolfach, West Germany, April 15-21, 1984

edited by H.-D. Ebbinghaus, G.H. Müller and G.E. Sacks

(Lecture notes in mathematics, 1141)

Springer-Verlag, c1985

  • : gw
  • : us

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Includes bibliographies

Description and Table of Contents

Table of Contents

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.

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