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International Conference on Unconventional Computation and Natural Computation

UCNC 2019: Unconventional Computation and Natural Computation pp 272–285Cite as

Self-stabilizing Gellular Automata

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11493))

Abstract

Gellular automata are a class of cellular automata having the features: asynchrony, Boolean totality, and non-camouflage. Gellular automata have been introduced as models of smart materials made of porous gels and chemical solutions, which are expected to have abilities such as self-repair. Therefore investigating gellular automata that are self-stable is an important research topic as self-stability implies convergence to a target configuration even under external disturbances. In this paper, we present gellular automata which solve maze problems self-stably. We also briefly describe gellular automata that solve the leader election problem. We thus discuss the possibility of implementing self-stable distributed algorithms by gellular automata.

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Acknowledgement

This work was supported by JSPS KAKENHI Grant Number 17K19961.

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Authors and Affiliations

  1. The University of Tokyo, Tokyo, Japan

    Tatsuya Yamashita, Akira Yagawa & Masami Hagiya

Authors
  1. Tatsuya Yamashita
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  2. Akira Yagawa
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  3. Masami Hagiya
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Corresponding author

Correspondence to Masami Hagiya .

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Editors and Affiliations

  1. University of Saskatchewan, Saskatoon, SK, Canada

    Ian McQuillan

  2. University of Electro-Communications, Tokyo, Japan

    Shinnosuke Seki

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Yamashita, T., Yagawa, A., Hagiya, M. (2019). Self-stabilizing Gellular Automata. In: McQuillan, I., Seki, S. (eds) Unconventional Computation and Natural Computation. UCNC 2019. Lecture Notes in Computer Science(), vol 11493. Springer, Cham. https://doi.org/10.1007/978-3-030-19311-9_21

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  • DOI: https://doi.org/10.1007/978-3-030-19311-9_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-19310-2

  • Online ISBN: 978-3-030-19311-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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