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oaioai:HAL:hal-00875177v1

The finiteness of a group generated by a 2-letter invertible-reversible Mealy automaton is decidable

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Publication date
27 February 2013
Publisher
Leibniz-Zentrum für Informatik
Doi

    Abstract

    International audienceWe 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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    This paper was published in Hal-Diderot.

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