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On the Power of Dissolution in P Systems with Active Membranes

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Book cover Membrane Computing (WMC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3850))

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Abstract

In this paper we study membrane dissolution rules in the framework of P systems with active membranes but without using electrical charges. More precisely, we prove that the polynomial computational complexity class associated with the class of recognizer P systems with active membranes, without polarizations and without dissolution coincides with the standard complexity class P. Furthermore, we demonstrate that if we consider dissolution rules, then the resulting complexity class contains the class NP.

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References

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Author information

Authors and Affiliations

  1. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    Miguel A. Gutiérrez–Naranjo, Mario J. Pérez–Jiménez, Agustín Riscos–Núñez & Francisco J. Romero–Campero

Authors
  1. Miguel A. Gutiérrez–Naranjo
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  2. Mario J. Pérez–Jiménez
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  3. Agustín Riscos–Núñez
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  4. Francisco J. Romero–Campero
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Editor information

Editors and Affiliations

  1. Faculty of Informatics, Vienna University of Technology, Favoritenstr. 9, 1040, Vienna, Austria

    Rudolf Freund

  2. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  3. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

  4. Turku Centre for Computer Science (TUCS), Leminkäisenkatu 14, 20520, Turku, Finland

    Arto Salomaa

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© 2006 Springer-Verlag Berlin Heidelberg

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Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J., Riscos–Núñez, A., Romero–Campero, F.J. (2006). On the Power of Dissolution in P Systems with Active Membranes. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2005. Lecture Notes in Computer Science, vol 3850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11603047_16

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  • DOI: https://doi.org/10.1007/11603047_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30948-2

  • Online ISBN: 978-3-540-32340-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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