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» On the Turing Degrees of Divergence Bounded Computable Reals
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CIE
2007
Springer
16 years 6 days 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»
15 years 6 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»
15 years 5 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
16 years 18 days 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
15 years 24 days 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