Universal computation with Watson-Crick DOL systems

  • Authors:
  • Petr Sosík

  • Affiliations:
  • Institute of Computer Science, Silesian University, 746 01 Opava, Czech Republic

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2002

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Abstract

Watson-Crick D0L systems, introduced in 1997 by Mihalache and Salomaa, arise from two major principles: the Lindenmayer rewriting and the Watson-Crick complementarity principle. Complementarity can be viewed as a purely language-theoretic operation. Majority of a certain type of symbols in a string (purines vs. pyrimidines) triggers a transition to the complementary string. The paper deals with an expressive power of deterministic interactionless Watson-Crick Lindenmayer systems. A rather surprising result is obtained: these systems, consisting of iterated morphism and a basic DNA operation, are able to compute any Turing computable function.