Simple Self-Reproduction Programs in a Cellular Space Based on the Parallel Substitution Algorithm

  • Authors:
  • S. M. Achasova

  • Affiliations:
  • Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090 Russia achasova@ssd.ssc ...

  • Venue:
  • Programming and Computing Software
  • Year:
  • 2004

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Abstract

The parallel substitution algorithm, which is a spatial model for representing fine-grained parallel computations, is used for constructing self-replicating structures in a cellular space. The use of this model allows one to create more compact (in terms of the number of cell states and transition rules) and structured self-reproduction programs compared to the classical cellular automaton model. Two parallel substitution algorithms for modeling the self-reproduction of a cellular structure having the shape of a rectangular loop are presented. One of them models the self-reproduction of the original structures from left to right, and the other, from left to right and from bottom to top.