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GCA: Global Cellular Automata. A Flexible Parallel Model

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Parallel Computing Technologies (PaCT 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2127))

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Abstract

A model called global cellular automata (GCA) will be introduced. The new model preserves the good features of the cellular automata but overcomes its restrictions. In the GCA the cell state consists of a data field and additional pointers. Via these pointers, each cell has read access to any other cell in the cell field, and the pointers may be changed from generation to generation. Compared to the cellular automata the neighbourhood is dynamic and differs from cell to cell. For many applications parallel algorithms can be found straight forward and can directly be mapped on this model. As the model is also massive parallel in a simple way, it can efficiently be supported by hardware.

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References

  1. S. Achasova, O. Bandman, V. Markova, and S. Piskunov. Parallel Substitution Algorithm. World Scientific, P O BOX 128, Farrer Road, Singapore 9128, 1994.

    MATH  Google Scholar 

  2. Christian Hochberger, Rolf Hoffmann, and Stefan Waldschmidt. Compilation of CDL for different target architecures. In Viktor Malyshkin, editor, Parallel Computing Technologies, pages 169–179, Berlin, Heidelberg, 1995. Springer.

    Google Scholar 

  3. Rolf Hoffmann, Bernd Ulmann, Klaus-Peter Völkmann, and Stefan Waldschmidt. A stream processor architecture based on the configurabel CEPRA-S. In Reiner W. Hartenstein and Herbert Grünbacher, editors, Field-Programmable Logic and Applications, pages 822–825, Berlin, Heidelberg, 2000. Springer.

    Google Scholar 

  4. A.N. Kolmogorov and V.A. Uspenskii. On the definition of an algorithm. In American Mathematical Society Translations, volume 9 of Series 2, pages 217–245. American Mathematical Society, 1963.

    Google Scholar 

  5. Arnold Schönhage. Real-time simulation of multidimensional turing machines by storage modification machines. SIAM Journal on Computing, 9(3):490–508, August 1980.

    Google Scholar 

  6. Samuel D. Stearns. Digital Signal Analysis. Hayden Book Company, Rochelle Park, New Jersey, 1975.

    MATH  Google Scholar 

  7. T. Toffoli and N. Margolus. Cellular Automata Machines. MIT Press, Cambridge Mass., 1987.

    Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Hoffmann, R., Völkmann, KP., Waldschmidt, S., Heenes, W. (2001). GCA: Global Cellular Automata. A Flexible Parallel Model. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2001. Lecture Notes in Computer Science, vol 2127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44743-1_6

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  • DOI: https://doi.org/10.1007/3-540-44743-1_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42522-9

  • Online ISBN: 978-3-540-44743-6

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