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Studying Probabilistic Faults In Evolved Non-Uniform Cellular Automata

Author

Listed:
  • MOSHE SIPPER

    (Logic Systems Laboratory, Swiss Federal Institute of Technology, IN-Ecublens, CH-1015 Lausanne, Switzerland)

  • MARCO TOMASSINI

    (Logic Systems Laboratory, Swiss Federal Institute of Technology, University of Lausanne, Switzerland;
    Institute of Computer Science, University of Lausanne, Switzerland)

  • OLIVIER BEURET

    (Logic Systems Laboratory, Swiss Federal Institute of Technology, IN-Ecublens, CH-1015 Lausanne, Switzerland)

Abstract

We study the effects of random faults on the behavior of one-dimensional, non-uniform cellular automata (CA), where the local update rule need not be identical for all grid sites. The CA systems examined were obtained via an approach known ascellular programming, which involves the evolution of non-uniform CAs to perform non-trivial computational tasks. Using the "system replicas" methodology, involving a comparison between a perfect, non-perturbed version of the CA and a faulty one, we find that our evolved systems exhibit graceful degradation in performance, able to tolerate a certain level of faults. We then "zoom" into the fault-tolerant zone, where "good" computational behavior is exhibited, introducing measures to fine-tune our understanding of the faulty CAs' operation. We study the error level as a function of time and space, as well as the recuperation time needed to recover from faults. Our investigation reveals an intricate interplay between temporal and spatial factors, with the presence of different rules in the grid giving rise to complex dynamics. Studies along this line may have applications to future computing systems that will contain thousands or even millions of computing elements, rendering crucial the issue of resilience.

Suggested Citation

  • Moshe Sipper & Marco Tomassini & Olivier Beuret, 1996. "Studying Probabilistic Faults In Evolved Non-Uniform Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(06), pages 923-939.
    • Handle: RePEc:wsi:ijmpcx:v:07:y:1996:i:06:n:s0129183196000776
    DOI: 10.1142/S0129183196000776
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