Rewriting in Varieties of Idempotent Semigroups

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Authors	KLÍMA Ondřej KORBELÁŘ Miroslav POLÁK Libor
Year of publication	2011
Type	Article in Proceedings
Conference	Algebraic Informatics
MU Faculty or unit	Faculty of Science
Citation
Doi	https://doi.org/10.1007/978-3-642-21493-6_12
Field	General mathematics
Keywords	Rewriting; identity problems; varieties of semigroups
Description	We consider rewriting as a tool for solving identity problems in varieties of idempotent semigroups. It is known that there exist finite canonical term rewrite systems and finite canonical word rewrite systems for only a very limited number of those varieties. We present a finite canonical conditional word rewrite system for a particular variety in which the classical approaches cannot be applied. Moreover, we obtain infinite single letter deleting rewrite systems for each join-irreducible variety.
Related projects:	Institute for Theoretical Computer Science Mathematical structures and their physical applications Eduard Čech Center for Algebra and Geometry Algebraic Methods in Automata and Formal Language Theory II