State complexity of basic operations on suffix-free regular languages

  • Authors:
  • Yo-Sub Han;Kai Salomaa

  • Affiliations:
  • Department of Computer Science, Yonsei University, Seoul 120-749, Republic of Korea;School of Computing, Queens University, Kingston, Ontario K7L 3N6, Canada

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

We investigate the state complexity of basic operations for suffix-free regular languages. The state complexity of an operation for regular languages is the number of states that are necessary and sufficient in the worst-case for the minimal deterministic finite-state automaton that accepts the language obtained from the operation. We establish the precise state complexity of catenation, Kleene star, reversal and the Boolean operations for suffix-free regular languages.