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JSYML
2006
64views more  JSYML 2006»
13 years 7 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...
NDJFL
2010
13 years 2 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
CIE
2009
Springer
14 years 2 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