Computational Complexity of Some Problems Involving Congruences on Algebras

نویسندگان

  • Clifford Bergman
  • Giora Slutzki
چکیده

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 generated by a set of pairs, and determining whether a given algebra is simple or subdirectly irreducible. We also consider the problem of determining the smallest fully invariant congruence on a given algebra containing a given set of pairs. We prove that this problem is complete for nondeterministic

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تاریخ انتشار 2000