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Cellular Automata

(An Introduction)

  • Conference paper
Physics and Mathematics of the Nervous System

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 4))

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Abstract

The mathematical theory of cellular automata (CA) was first used by J. v. Neumann1 who showed that complex abstract machines (mathematical structures) have the property of reproducing themselves. So the self-reproducing property is not only specific for biological systems but turns out to be a property of complex structures.

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References

  1. Neumann, J.: Theory of Self-Reproducing Automata, ed. by A.W. Burks, University of Illinois Press, Urbana, 1966.

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  2. Burks, A.W. (Ed.): Essays on Cellular Automata, University of Illinois Press, Urbana, 1970.

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  3. Codd, E.F.: Cellular Automata, ACM-Monograph Series, Academic Press, New York, 1968.

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  4. Moore, E.F.: Machine models of self-reproduction, Proc. of Symp. in Appl. Math., vol. 14, AMS, 1962.

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  5. Myhill, J.: The converse of Moore’s Garden-of-Eden theorem, Proc. of the Amer. Math. Soc. 14, 685–686 (1963).

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  6. Smith III, A.R.: Cellular Automata Theory, Techn. Rep. No. 2, Stanford University, Dec. 1969.

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  7. Zuse, K.: Rechnender Raum, Schriften zur Datenverarbeitung, vol. 1 Vieweg & Sohn, Braunschweig, 1969.

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  8. Gardner, M.: On cellular automata, self-reproduction, the Garden-of-Eden and the game life, Sci. Amer. 224, 112–117 (1971).

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Dortmund, Fed. Rep. Germany

    Wolfgang Merzenich

Authors
  1. Wolfgang Merzenich
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Editor information

Editors and Affiliations

  1. Institut für Informationsverarbeitung, Universität Tübingen, 74 Tübingen, Köstlinstraße 6, Deutschland

    Michael Conrad , Werner Güttinger  & Mario Dal Cin ,  & 

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© 1974 Springer-Verlag Berlin · Heidelberg

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Merzenich, W. (1974). Cellular Automata. In: Conrad, M., Güttinger, W., Dal Cin, M. (eds) Physics and Mathematics of the Nervous System. Lecture Notes in Biomathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80885-2_21

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  • DOI: https://doi.org/10.1007/978-3-642-80885-2_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07014-6

  • Online ISBN: 978-3-642-80885-2

  • eBook Packages: Springer Book Archive

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