On the Number of Membranes in Unary P Systems

@inproceedings{Freund2009OnTN,
  title={On the Number of Membranes in Unary P Systems},
  author={Rudolf Freund and Andreas Klein and Martin Kutrib},
  booktitle={DCFS},
  year={2009}
}
We consider P systems with a linear membrane structure working on objects over a unary alphabet using sets of rules resembling homomorphisms. Such a restricted variant of P systems allows for a unique minimal representation of the generated unary language and in that way for an eective solution of the equivalence problem. Moreover, we examine the descriptional complexity of unary P systems with respect to the number of membranes. 

References

SHOWING 1-10 OF 12 REFERENCES

Tree-systems of morphisms

The power of T systems is investigated, both in the extended (a terminal alphabet is considered and only strings over it are accepted) and non-extended case, mainly in comparison with classes of languages in Lindenmayer hierarchy.

A guide to membrane computing

Membrane Computing: An Introduction

This chapter discusses Membrane Computing, What It Is and What It is Not, and attempts to get back to reality with open problems and Universality results.

On Compound Lindenmayer Systems

Motivated by remarks by A, Lindenmayer on the biological relevance of tabled L systems we introduce compound L systems. We study their hierarchy, give their closure properties with respect to

Special Variants of P Systems Inducing an Infinite Hierarchy with Respect to the Number of Membranes

  • R. Freund
  • Computer Science, Mathematics
    Bull. EATCS
  • 2001

Computing with Membranes

  • G. Paun
  • Computer Science
    J. Comput. Syst. Sci.
  • 2000
It is proved that the P systems with the possibility of objects to cooperate characterize the recursively enumerable sets of natural numbers; moreover, systems with only two membranes suffice.

P Systems on Graphs of Restricted Forms

  • Theoretical Computer Science
  • 2002

P Systems on Graphs of Restricted Forms

  • Publicationes Mathematicae Debrecen
  • 2002

9] http://ppage.psystems.eu. The P Systems Web Page

  • 9] http://ppage.psystems.eu. The P Systems Web Page

P Systems on Graphs of Restricted Forms

  • Theoretical Computer Science
  • 2002