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LICS
2000
IEEE
13 years 9 months ago
Computational Complexity of Some Problems Involving Congruences on Algebras
We prove that several problems concerning congruences on algebras are complete for nondeterministic log-space. These problems are: determining the congruence on a given algebra gen...
Clifford Bergman, Giora Slutzki
SIAMCOMP
2000
97views more  SIAMCOMP 2000»
13 years 4 months ago
Complexity of Some Problems Concerning Varieties and Quasi-Varieties of Algebras
In this paper we consider the complexity of several problems involving finite algebraic structures. Given finite algebras A and B, these problems ask the following. (1) Do A and B ...
Clifford Bergman, Giora Slutzki
ICALP
2007
Springer
13 years 11 months ago
Universal Algebra and Hardness Results for Constraint Satisfaction Problems
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
Benoit Larose, Pascal Tesson
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard
IJCGA
2006
85views more  IJCGA 2006»
13 years 4 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...