Universality Results for Some Variants of P Systems

  • Madhu Mutyam
  • Kamala Krithivasan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2235)


P systems, introduced by Gh. PĂun, form a new class of distributed computing models. Many variants of P systems were shown to be computationally universal. In this paper, we consider several classes of P systems with symbol-objects where we allow the catalysts to move in and out of a membrane. We prove universality results for these variants of P systems with a very small number of membranes.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Dassow, Gh. Păun, Regulated Rewriting in Formal Language Theory, Springer-Verlag, Berlin, 1989.Google Scholar
  2. 2.
    R. Freund, C. Martin-Vide, Gh. Păun, Computing with membranes: Three morecollapsing hierarchies, submitted, 2000.Google Scholar
  3. 3.
    R. Freund, Gh. Păun, On the number of nonterminals in graph-controlled, programmed,and matrix grammars, Proc. of MCU Conf.. Chisinău, Moldova, 2001.Google Scholar
  4. 4.
    M. Ito, C. Martin-Vide, Gh. Păun, A characterization of Parikh sets of ET0Llanguages in terms of P systems, in vol. Words, Semigroups, Transducers (M. Ito, Gh. Păun, S. Yu, eds.), World Scientific, Singapore, 2001, in press.Google Scholar
  5. 5.
    S.N. Krishna, Computing with simple P systems, Workshop on Multiset Processing,Curtea de Argesc Romania, 2000.Google Scholar
  6. 6.
    M. Madhu, K. Krithivasan, P systems with membrane creation: Universality andeficiency, Proc. of MCU Conf.. Chisinău, Moldova, 2001.Google Scholar
  7. 7.
    Gh. Păun, Six nonterminals are enough for generating each r.e. language by amatrix grammar, Intern. J. Computer Math., 15 (1984), 23–37.MATHCrossRefGoogle Scholar
  8. 8.
    Gh. Păun, Computing with membranes, Journal of Computer and System Sciences,61, 1 (2000), 108–143.CrossRefMathSciNetMATHGoogle Scholar
  9. 9.
    Gh. Păun, Computing with membranes. A variant: P systems with polarized membranes,Intern. J. of Foundations of Computer Science, 11, 1 (2000), 167–182.CrossRefGoogle Scholar
  10. 10.
    Gh. Păun, Computing with membranes: Attacking NP-complete problems, Unconventional Models of Computation-UMC2K ( I. Antoniou, C. S. Calude, M. J. Dinneen, eds.), Springer-Verlag, London, 2000, 94–115.Google Scholar
  11. 11.
    Gh. Păun, Computing with membranes (P systems): Twenty six research topics,Auckland University, CDMTCS Report No 119, 2000. (http://www.cs.auckland.ac.nz/CDMTCS).

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Madhu Mutyam
    • 1
  • Kamala Krithivasan
    • 1
  1. 1.Department of Computer Science and EngineeringIndian Institute of Technology, MadrasChennaiIndia

Personalised recommendations