The power of mobility: four membranes suffice

  • Authors:
  • Shankara Narayanan Krishna

  • Affiliations:
  • Department of Computer Science and Engineering, Indian Institute of Technology, Bombay, Powai, Mumbai, India

  • Venue:
  • CiE'05 Proceedings of the First international conference on Computability in Europe: new Computational Paradigms
  • Year:
  • 2005

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Abstract

We continue the study of P systems with mobile membranes introduced in [6], which is a variant of P systems with active membranes having none of the features like polarizations, label change and division of non-elementary membranes. This variant was shown to be universal using only the simple operations of endocytosis and exocytosis; moreover, if elementary membrane division is allowed, it is capable of solving hard problems. Here, we investigate the power of the two operations (endocytosis, exocytosis) in more detail: 2 membranes can generate sets of vectors outside PsMAT, and four membranes give universality.