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arxiv: 1801.07321 · v2 · pith:VZVWK5RRnew · submitted 2018-01-22 · 💻 cs.FL · cs.CC

Exploring the Topological Entropy of Formal Languages

classification 💻 cs.FL cs.CC
keywords entropytopologicalformallanguagesacceptedamountarbitraryautomata
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We introduce the notions of topological entropy of a formal language and of a topological automaton. We show that the entropy function is surjective and bound the entropy of languages accepted by deterministic {\epsilon}-free push-down automata with an arbitrary amount of stacks.

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