Complexity in union-free regular languages

  • Authors:
  • Galina Jirásková;Tomáš Masopust

  • Affiliations:
  • Mathematical Institute, Slovak Academy of Sciences, Košice, Slovak Republic;Mathematical Institute, Czech Academy of Sciences, Brno, Czech Republic

  • Venue:
  • DLT'10 Proceedings of the 14th international conference on Developments in language theory
  • Year:
  • 2010

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Abstract

We continue the investigation of union-free regular languages that are described by regular expressions without the union operation. We also define deterministic union-free languages as languages recognized by one-cycle-free-path deterministic finite automata, and show that they are properly included in the class of union-free languages. We prove that (deterministic) union-freeness of languages does not accelerate regular operations, except for the reversal in the nondeterministic case.