The size of power automata

  • Authors:
  • K. Sutner

  • Affiliations:
  • Computer Science Department, School of Computer Science, Carnegie Mellon University, 5000 Forbes Avenue, 15213-3890, Pittsburgh, PA

  • Venue:
  • Theoretical Computer Science - Mathematical foundations of computer science
  • Year:
  • 2003

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Abstract

We describe a class of simple transitive semiautomata that exhibit full exponential blowup 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.