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» Degrees of Weakly Computable Reals
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FCT
2007
Springer
14 years 2 months ago
On the Topological Complexity of Weakly Recognizable Tree Languages
We show that the family of tree languages recognized by weak alternating automata is closed by three set theoretic operations that correspond to sum, multiplication by ordinals <...
Jacques Duparc, Filip Murlak
CIE
2009
Springer
14 years 3 months ago
Lowness for Demuth Randomness
We show that every real low for Demuth randomness is of hyperimmune-free degree.
Rod Downey, Keng Meng Ng
SPAA
2009
ACM
14 years 3 months ago
Weak graph colorings: distributed algorithms and applications
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...
Fabian Kuhn
CIE
2007
Springer
14 years 2 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
TAMC
2007
Springer
14 years 2 months ago
Working with the LR 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 γ, oracle B can also find patterns on ...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...