On minimal context-free insertion-deletion systems

  • Authors:
  • Sergey Verlan

  • Affiliations:
  • LACL, University of Paris XII, Créteil, France

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2007

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Abstract

We investigate the class of context-free insertion-deletion systems. It is known that such systems are universal if the length of the inserted/deleted string is at least three. We show that if this length is bounded to two, then the obtained systems are not universal. We characterise the obtained class and we introduce a new complexity measure for insertion-deletion systems, which permits a better explanation of the obtained results.