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Universal Construction And Self-Reproduction On Self-Timed Cellular Automata

Author

Listed:
  • YOUSUKE TAKADA

    (Division of Computer Engineering, University of Hyogo, 2167 Shosha, Himeji, Hyogo, 671-2201, Japan)

  • TEIJIRO ISOKAWA

    (Division of Computer Engineering, University of Hyogo, 2167 Shosha, Himeji, Hyogo, 671-2201, Japan)

  • FERDINAND PEPER

    (Nanotechnology Group, National Institute of Information and Communications Technology, 588-2 Iwaoka, Iwaoka-cho, Nishi-ku, Kobe, 651-2492, Japan)

  • NOBUYUKI MATSUI

    (Division of Computer Engineering, University of Hyogo, 2167 Shosha, Himeji, Hyogo, 671-2201, Japan)

Abstract

This paper proposes a universal constructor implemented on a self-timed cellular automaton, which is a particular type of asynchronous cellular automaton. Our construction utilizes the asynchronous nature of the underlying cellular automaton in a direct way, as a result of which it is simpler than the conventional construction based on the simulation of a synchronous cellular automaton by an asynchronous cellular automaton. Our model employs 39 rotation-invariant rules and the state of each cell is encoded by 8 bits.

Suggested Citation

  • Yousuke Takada & Teijiro Isokawa & Ferdinand Peper & Nobuyuki Matsui, 2006. "Universal Construction And Self-Reproduction On Self-Timed Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 985-1007.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s0129183106009497
    DOI: 10.1142/S0129183106009497
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