Synchronizing automata with a letter of deficiency 2

  • Authors:
  • D. S. Ananichev;M. V. Volkov;Yu. I. Zaks

  • Affiliations:
  • Department of Mathematics and Mechanics, Ural State University, Ekaterinburg, Russia;Department of Mathematics and Mechanics, Ural State University, Ekaterinburg, Russia;Department of Mathematics and Mechanics, Ural State University, Ekaterinburg, Russia

  • Venue:
  • DLT'06 Proceedings of the 10th international conference on Developments in Language Theory
  • Year:
  • 2006

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Abstract

We present two infinite series of synchronizing automata with a letter of deficiency 2 whose shortest reset words are longer than those for synchronizing automata obtained by a straightforward modification of Černý's construction.