The Power of Mobility: Four Membranes Suffice

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


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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  1. 1.
    Alhazov, A., Ishdorj, T.-O.: Membrane operations in P systems with active membranes. In: Proc. Second Brainstorming Week on Membrane Computing, February 2004. TR 01/04 of Research Group on Natural Computing, pp. 37–44. Sevilla University, Sevilla (2004)Google Scholar
  2. 2.
    Bel Enguix, G., Jiménez-Lopez, M.D.: Linguistic membrane systems and applications. In: Ciobanu, G., Păun, G., Pérez-Jiménez, M.J. (eds.) Applications of Membrane Computing. Springer, Berlin (to appear)Google Scholar
  3. 3.
    Besozzi, D., Zandron, C., Mauri, G., Sabadini, N.: P systems with gemmation of mobile membranes. In: Restivo, A., Ronchi Della Rocca, S., Roversi, L. (eds.) ICTCS 2001. LNCS, vol. 2202, pp. 136–153. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  4. 4.
    Csuhaj-Varjú, E., Di Nola, A., Păun, G., Peŕez-Jiménez, M.J., Vaszil, G.: Editing configurations of P systems (manuscript 2004) Google Scholar
  5. 5.
    Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Berlin (1989)Google Scholar
  6. 6.
    Krishna, S.N., Păun, G.: P systems with mobile membranes (2004) (submitted)Google Scholar
  7. 7.
    Păun, G.: P systems with active membranes: Attacking NP-complete problems. Journal of Automata, Languages and Combinatorics 6(1), 75–90 (2001)zbMATHMathSciNetGoogle Scholar
  8. 8.
    Păun, G.: Computing with Membranes. An Introduction. Springer, Berlin (2002)Google Scholar
  9. 9.
    Păun, G., Suzuki, Y., Tanaka, H., Yokomori, T.: On the power of membrane division in P systems. Theoretical Computer Science 324(1), 61–85 (2004)zbMATHCrossRefMathSciNetGoogle Scholar
  10. 10.
    Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages. Springer, Berlin (1997)zbMATHGoogle Scholar

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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