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» Spaces of orders and their Turing degree spectra
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APAL
2010
68views more  APAL 2010»
14 years 10 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»
14 years 10 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
15 years 4 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»
15 years 1 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»
14 years 9 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