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Universality of Minimal Symport/Antiport: Five Membranes Suffice

  • Francesco Bernardini
  • Andrei Păun
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2933)

Abstract

P systems with symport/antiport rules of a minimal size (only one object passes in any direction in a communication step) have been recently proved to be computationally universal. The result originally reported in [2] has been subsequently improved in [6] by showing that six membranes suffice. In [6] it has been also conjectured that at least one membrane can be saved. Here we prove that conjecture: P systems with five membranes and symport/antiport rules of a minimal size are computationally complete. The optimality of this result remains open.

Keywords

Natural Number Minimal Size Output Region Mathematical Linguistics Evolution Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Francesco Bernardini
    • 1
  • Andrei Păun
    • 2
  1. 1.Department of Computer ScienceThe University of SheffieldSheffieldUK
  2. 2.Department of Computer ScienceLouisiana Tech UniversityRustonUSA

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