Identity checking problem for transformation monoids

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Authors	KLÍMA Ondřej
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Semigroup Forum
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1007/s00233-012-9401-7
Field	General mathematics
Keywords	Checking identities; Finite semigroups; Complexity
Description	We study the computational complexity of checking identities in a fixed finite monoid. We prove that this problem is coNP-complete for the monoid of all full transformations of a 4-element set. This result completes the description of the complexity of checking identities in the transformation monoids.
Related projects:	Institute for Theoretical Computer Science Mathematical structures and their physical applications Algebraic Methods in Automata and Formal Language Theory II