On the degree of team cooperation in CD grammar systems

  • Authors:
  • Fernando Arroyo;Juan Castellanos;Victor Mitrana

  • Affiliations:
  • Department of Languages, Projects and Computer Information Systems, University School of Informatics, Polytechnic University of Madrid, Madrid, Spain;Department of Artificial Intelligence, Faculty of Informatics, Polytechnic University of Madrid, Boadilla del Monte, Madrid, Spain;Department of Organization and Structure of Information, University School of Informatics, Polytechnic University of Madrid, Madrid, Spain

  • Venue:
  • DCFS'11 Proceedings of the 13th international conference on Descriptional complexity of formal systems
  • Year:
  • 2011

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Abstract

In this paper, we introduce a dynamical complexity measure, namely the degree of team cooperation, in the aim of investigating "how much" the components of a grammar system cooperate when forming a team in the process of generating terminal words. We present several results which strongly suggest that this measure is trivial in the sense that the degree of team cooperation of any language is bounded by a constant. Finally, we prove that the degree of team cooperation of a given cooperating/ distributed grammar system cannot be algorithmically computed and discuss a decision problem.