Zero-One Law for Regular Languages and Semigroups with Zero

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Sin'ya, Ryoma;
  • Subject: Computer Science - Formal Languages and Automata Theory
    arxiv: Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)

A regular language has the zero-one law if its asymptotic density converges to either zero or one. We prove that the class of all zero-one languages is closed under Boolean operations and quotients. Moreover, we prove that a regular language has the zero-one law if and ... View more
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