The Size of Power Automata

  • Authors:
  • Klaus Sutner

  • Affiliations:
  • -

  • Venue:
  • MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2001

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Abstract

We describe a class of simple transitive semiautomata that exhibit full exponential blow-up during deterministic simulation. For arbitrary semiautomata we show that it is PSPACE-complete to decide whether the size of the accessible part of their power automata exceeds a given bound. We comment on the application of these results to the study of cellular automata.