Universal Disjunctive Concatenation and Star

  • Nelma Moreira
  • Giovanni Pighizzini
  • Rogério Reis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9118)


Two language operations that can be expressed by suitably combining complement with concatenation and star, respectively, are introduced. The state complexity of those operations on regular languages is investigated. In the deterministic case, optimal exponential state gaps are proved for both operations. In the nondeterministic case, for one operation an optimal exponential gap is also proved, while for the other operation an exponential upper bound is obtained.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Nelma Moreira
    • 1
  • Giovanni Pighizzini
    • 2
  • Rogério Reis
    • 1
  1. 1.Centro de Matemática e Faculdade de Ciências daUniversidade do PortoPortoPortugal
  2. 2.Dipartimento di InformaticaUniversità degli Studi di MilanoMilanItaly

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