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Exploring the Topological Entropy of Formal Languages

2018/01/22 by Florian Starke, Starke, Florian
Computer Science · #68Q45 #Computational Complexity (cs.CC) #FOS: Computer and information sciences #Formal Languages and Automata Theory (cs.FL) #cs.CC #cs.FL #msc:68Q45

paper · pdf · doi:10.48550/arxiv.1801.07321

22 pages

arxiv created 2019/04/24 · arxiv updated 2019/04/25

Abstract

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 ε-free push-down automata with an arbitrary amount of stacks.

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