Using well-structured transition systems to decide divergence for catalytic P systems

  • Authors:
  • Nadia Busi

  • Affiliations:
  • Dipartimento di Scienze dellInformazione, Università di Bologna, Mura A. Zamboni 7, I-40127 Bologna, Italy

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2007

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Abstract

P systems are a biologically inspired model introduced by Gheorghe Paun with the aim of representing the structure and the functioning of the cell. Since their introduction, several variants of P systems have been proposed and explored. We concentrate on the class of catalytic P systems without priorities associated with the rules. We show that the theory of Well-Structured Transition Systems can be used to decide the divergence problem (i.e. checking for the existence of an infinite computation) for such a class of P systems. As a corollary, we obtain an alternative proof of the nonuniversality of deterministic catalytic P systems, an open problem recently solved by Ibarra and Yen.