Synchronizing automata preserving a chain of partial orders

  • Authors:
  • M. V. Volkov

  • Affiliations:
  • Department of Mathematics and Mechanics, Ural State University, 620083 Ekaterinburg, Russia

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

We present a new class of automata which strictly contains the class of aperiodic automata and shares with the latter certain synchronization properties. In particular, every strongly connected automaton in this new class is synchronizing and has a synchronizing word of length @?n(n+1)6@? where n is the number of states of the automaton.