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» On the Turing Degrees of Divergence Bounded Computable Reals
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CIE
2007
Springer
15 years 4 months ago
Thin Maximal Antichains in the Turing Degrees
Abstract. We study existence problems of maximal antichains in the Turing degrees. In particular, we give a characterization of the existence of a thin Π1 1 maximal antichains in ...
Chi Tat Chong, Liang Yu
JSYML
2008
108views more  JSYML 2008»
14 years 9 months ago
Randomness, lowness and degrees
We say that A LR B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real , oracle B can also find patterns on . In o...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...
ECCC
2000
75views more  ECCC 2000»
14 years 9 months ago
Deterministic Turing Machines in the Range between Real-Time and Linear-Time
Deterministic k-tape and multitape Turing machines with one-way, two-way and without a separated input tape are considered. We investigate the classes of languages acceptable by s...
Andreas Klein, Martin Kutrib
CIE
2009
Springer
15 years 4 months ago
Ordinal Computability
computability uses ordinals instead of natural numbers in abstract machines like register or Turing machines. We give an overview of the computational strengths of α-β-machines,...
Peter Koepke
NDJFL
2010
14 years 4 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