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» Turing computations on ordinals
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CF
2005
ACM
14 years 11 months ago
Time, space, and energy in reversible computing
We survey results of a quarter century of work on computation by reversible general-purpose computers (in this setting Turing machines), and general reversible simulation of irrev...
Paul M. B. Vitányi
APAL
2011
14 years 4 months ago
The complexity of central series in nilpotent computable groups
The terms of the upper and lower central series of a nilpotent computable group have computably enumerable Turing degree. We show that the Turing degrees of these terms are indepe...
Barbara F. Csima, Reed Solomon
AML
2010
104views more  AML 2010»
14 years 9 months ago
Degrees of categoricity of computable structures
Defining the degree of categoricity of a computable structure M to be the least degree d for which M is d-computably categorical, we investigate which Turing degrees can be realiz...
Ekaterina B. Fokina, Iskander Sh. Kalimullin, Russ...
CIE
2009
Springer
15 years 4 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
BSL
2005
70views more  BSL 2005»
14 years 9 months ago
Mass problems and randomness
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
Stephen G. Simpson