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arXiv · 1507.03393

Topological Entropy of Formal Languages

Friedrich Martin Schneider·Daniel Borchmann
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Abstract

We introduce the notion of topological entropy of a formal languages as the topological entropy of the minimal topological automaton accepting it. Using a characterization of this notion in terms of approximations of the Myhill-Nerode congruence relation, we are able to compute the topological entropies of certain example languages. Those examples suggest that the notion of a "simple" formal language coincides with the language having zero entropy.

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Friedrich Martin Schneider, Daniel Borchmann. 2015-07-13. Topological Entropy of Formal Languages. https://doi.org/10.1007/s00233-016-9782-0

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