Complexity issues of checking identities in finite monoids

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Authors	KLÍMA Ondřej
Year of publication	2009
Type	Article in Periodical
Magazine / Source	Semigroup Forum
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Checking identities Finite semigroups Complexity
Description	We study the computational complexity of checking identities in a fixed finite monoid. We find the smallest monoid for which this problem is coNPcomplete and describe a significant class of finite monoids for which the problem is tractable.
Related projects:	Institute for Theoretical Computer Science Mathematical structures and their physical applications Algebraic Methods in Automata and Formal Language Theory