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» Every 1-generic computes a properly 1-generic
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94
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JSYML
2006
64views more  JSYML 2006»
15 years 3 months ago
Every 1-generic computes a properly 1-generic
Abstract. A real is called properly n-generic if it is n-generic but not n + 1generic. We show that every 1-generic real computes a properly 1-generic real. On the other hand, if m...
Barbara F. Csima, Rod Downey, Noam Greenberg, Deni...
118
Voted
NDJFL
2010
14 years 10 months ago
Subclasses of the Weakly Random Reals
The weakly random reals contain not only the Schnorr random reals as a subclass but also the weakly 1-generic reals and therefore the n-generic reals for every n. While the class o...
Johanna N. Y. Franklin
144
Voted
CIE
2009
Springer
15 years 10 months ago
Index Sets and Universal Numberings
This paper studies the Turing degrees of various properties defined for universal numberings, that is, for numberings which list all partial-recursive functions. In particular pro...
Sanjay Jain, Frank Stephan, Jason Teutsch