Watson-Crick D0L systems: generative power and undecidable problems

  • Authors:
  • Petr Sosík

  • Affiliations:
  • Institute of Computer Science, Silesian University, 74601 Opava, Czech Republic

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

Quantified Score

Hi-index 5.23

Visualization

Abstract

The properties of Watson-Crick D0L system, a language-theoretical formalism inspired by natural DNA processing, are studied. The model incorporates the iterated D0L-like morphism and the DNA complementarity principle represented by a letter-to-letter morphism. These two morphisms are connected by a natural condition called the trigger.We show first that this very simple model has rather unexpected power; it can closely and simply simulate any Minsky register machine. As a consequence, any recursively enumerable language can be obtained as a projection of the language of some standard Watson-Crick D0L system. Finally, we show that the graph reachability problem, equivalence problems and some other problems of standard Watson-Crick D0L systems are undecidable.