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LIPIcs - Leibniz International Proceedings in Informatics. 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)
Doi
Abstract
We prove that a semigroup generated by a reversible two-state Mealy automaton is either finite or free of rank 2. This fact leads to the decidability of finiteness for groups generated by two-state or two-letter invertible-reversible Mealy automata and to the decidability of freeness for semigroups generated by two-state invertible-reversible Mealy automata
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