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Erschienen in:
2015 | OriginalPaper | Buchkapitel
On Torsion-Free Semigroups Generated by Invertible Reversible Mealy Automata
verfasst von : Thibault Godin, Ines Klimann, Matthieu Picantin
Erschienen in: Language and Automata Theory and Applications
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This paper addresses the torsion problem for a class of automaton semigroups, defined as semigroups of transformations induced by Mealy automata, aka letter-by-letter transducers with the same input and output alphabet. The torsion problem is undecidable for automaton semigroups in general, but is known to be solvable within the well-studied class of (semi)groups generated by invertible bounded Mealy automata. We focus on the somehow antipodal class of invertible reversible Mealy automata and prove that for a wide subclass the generated semigroup is torsion-free.