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The Power of Mobility: Four Membranes Suffice

  • Shankara Narayanan Krishna
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3526)

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Shankara Narayanan Krishna
    • 1
  1. 1.Department of Computer Science and EngineeringIndian Institute of Technology, BombayPowai, MumbaiIndia

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