Term Satisfiability Problem for Two-Element Algebras is in QL or is NQL-Complete

Jacek Krzaczkowski, Tomasz A. Gorazd · TUGraz OPEN Library (Graz University of Technology) · 2020

We show that the term satisfiability problem for finite algebras is in NQL. Moreover we present a complete classification of the computational complexity of the term satisfiability problem for two-element algebras. We show that for any fixed two- element algebra the problem is either in QL or NQL-complete. We show that the complexity of the considered problem, parameterized by an algebra, is determined by the clone of term operations of the algebra.

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