The Quest for Small Universal Cellular Automata

  • Authors:
  • Nicolas Ollinger

  • Affiliations:
  • -

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

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Abstract

We formalize the idea of intrinsically universal cellular automata, which is strictly stronger than classical computational universality. Thanks to this uniform notion, we construct a new one-dimensional universal automaton with von Neumann neighborhood and only 6 states, thus improving the best known lower bound both for computational and intrinsic universality.