Complexity of Some Problems Concerning Varieties and Quasi-Varieties of Algebras

@article{Bergman2000ComplexityOS,
title={Complexity of Some Problems Concerning Varieties and Quasi-Varieties of Algebras},
author={Clifford Bergman and Giora Slutzki},
journal={SIAM J. Comput.},
year={2000},
volume={30},
pages={359-382}
}

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 satisfy precisely the same identities? (2) Do they satisfy the same quasi-identities? (3) Do A and B have the same set of term operations? In addition to the general case in which we allow arbitrary (finite) algebras, we consider each of these problems under the restrictions that all operations are unary and that A… CONTINUE READING