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Membrane dissolution and division in P

Woods, Damien and Murphy, Niall and Pérez-Jiménez, Mario J. and Riscos-Núñez, Agustín (2009) Membrane dissolution and division in P. In: Unconventional Computation, Proceedings of the 8th International Conference, UC 2009, Ponta Delgada, Portugal. Springer, Berlin, pp. 262-276. ISBN 9783642037443

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Abstract

Membrane systems with dividing and dissolving membranes are known to solve PSPACE problems in polynomial time. However, we give a P upperbound on an important restriction of such systems. In particular we examine systems with dissolution, elementary division and where each membrane initially has at most one child membrane. Even though such systems may create exponentially many membranes, each with dierent contents, we show that their power is upperbounded by P.

Item Type: Book Section
Additional Information: This work is supported by a Project of Excellence TIC-581 from the Junta de Andalucía, project TIN 2006 13425 of the Ministerio de Educación y Ciencia of Spain, and the Irish Research Council for Science, Engineering and Technology. We thank the anonymous reviewers for helpful comments on the presentation.
Keywords: Membrane dissolution; membrane division; PSPACE problems;
Subjects: Science & Engineering > Computer Science
Item ID: 2504
Depositing User: CS Editor
Date Deposited: 20 Apr 2011 15:38
Publisher: Springer
Refereed: No
URI:

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