A concatenation game and the dot-depth hierarchy

  • Wolfgang Thomas
Part of the Lecture Notes in Computer Science book series (LNCS, volume 270)


We introduce a variant of the Ehrenfeucht Fraïssé game which is appropriate for an analysis of the expressive power of star-free regular expressions. As an application we present a simple proof showing that the dot-depth hierarchy of star-free languages is strict.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Wolfgang Thomas
    • 1
  1. 1.Lenrstuhl für Informatik IIAachen

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