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» Spaces of orders and their Turing degree spectra
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APAL
2010
68views more  APAL 2010»
13 years 7 months ago
Spaces of orders and their Turing degree spectra
We investigate computability theoretic and topological properties of spaces of orders on computable orderable groups. A left order on a group G is a linear order of the domain of ...
Malgorzata A. Dabkowska, Mieczyslaw K. Dabkowski, ...
JSYML
2007
66views more  JSYML 2007»
13 years 6 months ago
Spectra of structures and relations
We consider embeddings of structures which preserve spectra: if g : M → S with S computable, then M should have the same Turing degree spectrum (as a structure) that g(M) has (a...
Valentina S. Harizanov, Russel G. Miller
CCA
2009
Springer
14 years 1 months ago
Weihrauch Degrees, Omniscience Principles and Weak Computability
Abstract. In this paper we study a reducibility that has been introduced by Klaus Weihrauch or, more precisely, a natural extension of this reducibility for multi-valued functions ...
Vasco Brattka, Guido Gherardi
COCO
2004
Springer
79views Algorithms» more  COCO 2004»
13 years 10 months ago
Small Spans in Scaled Dimension
Juedes and Lutz (1995) proved a small span theorem for polynomial-time many-one reductions in exponential time. This result says that for language A decidable in exponential time,...
John M. Hitchcock
BC
1998
96views more  BC 1998»
13 years 6 months ago
Evidence of phase transitions in heart period dynamics
Complexity measures of non-linear dynamics are a useful tool for quantifying observed stretching, folding, scaling and mixing processes in the Takens-reconstructed state space of h...
Henrik Bettermann, Peter Van Leeuwen