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arXiv · 1906.01521

Quasi-automatic groups are asynchronously automatic

Benjamin Blanchette
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Abstract

A quasi-automatic semigroup is a finitely generated semigroup with a rational set of representatives such that the graph of right multiplication by any generator is a rational relation. A asynchronously automatic semigroup is a quasi-automatic semigroup for which these rational relations are also recognisable by two-tape automata. We show that when such a semigroup happens to be a group, the converse actually holds, meaning quasi-automatic groups are asynchronously automatic.

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BibTeXRIS

Benjamin Blanchette. 2019-06-04. Quasi-automatic groups are asynchronously automatic. https://doi.org/10.1016/j.tcs.2019.05.026

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