Cellular automata and intermediate degrees

  • Authors:
  • K. Sutner

  • Affiliations:
  • Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

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Abstract

We study a classification of cellular automata based on the Turing degree of the orbits of the automaton. The difficulty of determining the membership of a cellular automaton in any one of these classes is characterized in the arithmetical hierarchy.