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IJAC
2007
73views more  IJAC 2007»
13 years 5 months ago
Computationally and Algebraically Complex Finite Algebra Membership Problems
In this paper we produce a finite algebra which generates a variety with a PSPACE-complete membership problem. We produce another finite algebra with a γ function that grows exp...
Marcin Kozik
IJAC
2002
128views more  IJAC 2002»
13 years 5 months ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
SIAMCOMP
2000
97views more  SIAMCOMP 2000»
13 years 5 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
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
DCC
2008
IEEE
14 years 5 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev