Corpus ID: 23112149

Topological Entropy of Formal Languages

@article{Starke2018TopologicalEO,
  title={Topological Entropy of Formal Languages},
  author={Florian Starke},
  journal={ArXiv},
  year={2018},
  volume={abs/1801.07321}
}
  • Florian Starke
  • Published 22 January 2018
  • Computer Science, Mathematics
  • ArXiv
In this thesis we will introduce topological automata and the topological entropy of a topological automaton, which is the topological entropy of the dynamical system contained in the automaton. We will use these notions to define a measure of complexity for formal languages. We assign to every language the topological entropy of the unique minimal topological automaton accepting it. We contribute several new results. We use a preexisting characterization of the topological entropy of a formal… Expand
1 Citations
Exploring the topological entropy of formal languages
TLDR
It is shown 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. Expand

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Allgemeine Topologie I