One More Universality Result for P Systems with Objects on Membranes

Authors

  • Gheorghe Păun Institute of Mathematics of the Romanian Academy PO Box 1-764, 014700 Bucure¸sti, Romania and Research Group on Natural Computing Department of Computer Science and Artificial Intelligence University of Sevilla Avda. Reina Mercedes s/n, 41012 Sevilla, Spain E-mail: george.paun@imar.ro, gpaun@us.es

Keywords:

Membrane computing, Brane calculi, Matrix grammar, Universality

Abstract

We continue here the attempt to bridge brane calculi with membrane computing, following the investigation started in [2]. Specifically, we consider P systems with objects placed on membranes, and processed by membrane operations. The operations used in this paper are membrane creation (cre), and membrane dissolution (dis), defined in a way which reminds the operations pino, exo from a brane calculus from [1]. For P systems based on these operations we prove the universality, for one of the two possible variants of the operations; for the other variant the problem remains open.

References

L. Cardelli, Brane calculi. Interactions of biological membranes, Proc. Computational Methods in Systems Biology, 2004, Springer-Verlag, Berlin, to appear.

L. Cardelli, Gh. Paun, An universality result for a (mem)brane calculus based on mate/drip operations, Intern. J. Foundations of Computer Sci., 17, 1 (2006), 49-68. http://dx.doi.org/10.1142/S0129054106003693

J. Dassow, Gh. Paun, Regulated Rewriting in Formal Language Theory, Springer-Verlag, Berlin, 1989. http://dx.doi.org/10.1007/978-3-642-74932-2

Gh. Păun, Computing with membranes, Journal of Computer and System Sciences, 61, 1 (2000), 108-143 (and Turku Center for Computer Science-TUCS Report 208, November 1998, www.tucs.fi).

Gh. Păun, Membrane Computing. An Introduction, Springer-Verlag, Berlin, 2002. http://dx.doi.org/10.1007/978-3-642-56196-2

The membrane computing web page: http://psystems.disco.unimib.it.

Published

2006-01-01

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