On the number of components in cooperating distributed grammar systems

  • Authors:
  • Henning Bordihn

  • Affiliations:
  • Universität Potsdam, Institut für Informatik, August-Bebel-straße 89, Haus 4, D-14482 Potsdam, Germany

  • Venue:
  • Theoretical Computer Science - Descriptional complexity of formal systems
  • Year:
  • 2005

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Abstract

It is proved that the number of components in context-free cooperating distributed (CD) grammar systems can be reduced to 3 when they are working in the so-called sf-mode of derivation, which is the cooperation protocol which has been considered first for CD grammar systems, in this derivation mode, a component continues the derivation until and unless there is a nonterminal in the sentential form which cannot be rewritten according to that component. Moreover, it is shown that CD grammar systems in sf-mode with only one component can generate only the context-free languages but they can generate non-context-free languages if two components are used. The sf-mode of derivation is compared with other well-known cooperation protocols with respect to the hierarchies induced by the number of components.