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On a Universal Brownian Cellular Automata with 3 States and 2 Rules

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Cellular Automata (ACRI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9863))

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Abstract

This paper presents a 3-state asynchronous CA that requires merely two transition rules to achieve computational universality. This universality is achieved by embedding Priese’s delay-insensitive circuit elements, called the E-element and the K-element, on the cell space of a so-called Brownian CA, which is an asynchronous CA containing local configurations that conduct a random walk in the circuit topology.

K. Ono has been with Glory Limited, Japan, since 2011.

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Acknowledgment

This work was supported by a Grant-in-Aid for Scientific Research on Innovative Areas “Molecular Robotics” (No. 15H00825) of The Ministry of Education, Culture, Sports, Science, and Technology, Japan.

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Authors and Affiliations

  1. Graduate School of Engineering, University of Hyogo, Hyogo, Japan

    Teijiro Isokawa, Koji Ono & Nobuyuki Matsui

  2. Center for Information and Neural Networks, National Institute of Information and Communications Technology, Osaka University, Osaka, Japan

    Ferdinand Peper

Authors
  1. Teijiro Isokawa
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  2. Ferdinand Peper
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  3. Koji Ono
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  4. Nobuyuki Matsui
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Corresponding author

Correspondence to Teijiro Isokawa .

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Editors and Affiliations

  1. University of Perpignan, Perpignan, France

    Samira El Yacoubi

  2. AGH University of Science and Techn, Kraków, Poland

    Jaroslaw Wąs

  3. Department of Computer Science, University of Milano-Bicocca, Milan, Italy

    Stefania Bandini

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Isokawa, T., Peper, F., Ono, K., Matsui, N. (2016). On a Universal Brownian Cellular Automata with 3 States and 2 Rules. In: El Yacoubi, S., Wąs, J., Bandini, S. (eds) Cellular Automata. ACRI 2016. Lecture Notes in Computer Science(), vol 9863. Springer, Cham. https://doi.org/10.1007/978-3-319-44365-2_2

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  • DOI: https://doi.org/10.1007/978-3-319-44365-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44364-5

  • Online ISBN: 978-3-319-44365-2

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