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» The Complexity of Orbits of Computably Enumerable Sets
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CIE
2007
Springer
15 years 5 months ago
Computational Complexity of Constraint Satisfaction
Abstract. The input to a constraint satisfaction problem (CSP) consists of a set of variables, each with a domain, and constraints between these variables formulated by relations o...
Heribert Vollmer
DCC
2001
IEEE
15 years 11 months ago
The Invariants of the Clifford Groups
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane
CIE
2009
Springer
15 years 6 months ago
Equivalence Relations on Classes of Computable Structures
Abstract. If L is a finite relational language then all computable Lstructures can be effectively enumerated in a sequence {An}n∈ω in such a way that for every computable L-st...
Ekaterina B. Fokina, Sy-David Friedman
MFCS
2009
Springer
15 years 4 months ago
Time-Bounded Kolmogorov Complexity and Solovay Functions
Abstract. A Solovay function is a computable upper bound g for prefixfree Kolmogorov complexity K that is nontrivial in the sense that g agrees with K, up to some additive constan...
Rupert Hölzl, Thorsten Kräling, Wolfgang...
ENTCS
2002
77views more  ENTCS 2002»
14 years 11 months ago
Trivial Reals
Solovay showed that there are noncomputable reals such that H( n) H(1n) + O(1), where H is prefix-free Kolmogorov complexity. Such H-trivial reals are interesting due to the conn...
Rodney G. Downey, Denis R. Hirschfeldt, Andr&eacut...