Some variants of the star height problem

  • Authors:
  • Daniel Kirsten

  • Affiliations:
  • Humboldt-Universität zu Berlin, Institut für Informatik, Berlin, Germany

  • Venue:
  • MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
  • Year:
  • 2011

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Abstract

Given a family of recognizable languages L1, . . . , Lm and recognizable languages K1 ⊆ K2, the relative inclusion star height problem means to compute the minimal star height of some rational expression r over L1, . . . , Lm satisfying K1 ⊆ L(r) ⊆ K2. We show that this problem is of elementary complexity and give an analysis of its complexity.