Complexity aspects of polarizationless membrane systems

  • Authors:
  • Alberto Leporati;Claudio Ferretti;Giancarlo Mauri;Mario J. Pérez-Jiménez;Claudio Zandron

  • Affiliations:
  • Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano---Bicocca, Milan, Italy I-20126;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano---Bicocca, Milan, Italy I-20126;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano---Bicocca, Milan, Italy I-20126;Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Sevilla, Spain 41012;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano---Bicocca, Milan, Italy I-20126

  • Venue:
  • Natural Computing: an international journal
  • Year:
  • 2009

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Abstract

We investigate polarizationless P systems with active membranes working in maximally parallel manner, which do not make use of evolution or communication rules, in order to find which features are sufficient to efficiently solve computationally hard problems. We show that such systems are able to solve the PSPACE-complete problem Quantified 3-sat, provided that non-elementary membrane division is controlled by the presence of a (possibly non-elementary) membrane.