Separating regular languages by piecewise testable and unambiguous languages

  title={Separating regular languages by piecewise testable and unambiguous languages},
  author={Thomas Place and Lorijn van Rooijen and Marc Zeitoun},
Separation is a classical problem asking whether, given two sets belonging to some class, it is possible to separate them by a set from another class. We discuss the separation problem for regular languages. We give a Ptime algorithm to check whether two given regular languages are separable by a piecewise testable language, that is, whether a BΣ1(<) sentence can witness that the languages are disjoint. The proof refines an algebraic argument from Almeida and the third author. When separation… CONTINUE READING
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