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On Reversibility and Determinism in P Systems

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Membrane Computing (WMC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5957))

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Abstract

Membrane computing is a formal framework of distributed parallel computing. In this paper we study the reversibility and maximal parallelism of P systems from the computability point of view. The notions of reversible and strongly reversible systems are considered. The universality is shown for reversible P systems with either priorities or inhibitors, and a negative conjecture is stated for reversible P systems without such control. Strongly reversible P systems without control have shown to only generate sub-finite sets of numbers; this limitation does not hold if inhibitors are used.

Another concept considered is strong determinism, which is a syntactic property, as opposed to the determinism typically considered in membrane computing. Strongly deterministic P systems without control only accept sub-regular sets of numbers, while systems with promoters and inhibitors are universal.

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Author information

Authors and Affiliations

  1. IEC, Department of Information Engineering, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan

    Artiom Alhazov & Kenichi Morita

  2. Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Academiei 5, Chişinău, MD-2028, Moldova

    Artiom Alhazov

Authors
  1. Artiom Alhazov
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  2. Kenichi Morita
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Editor information

Editors and Affiliations

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

    Gheorghe Păun

  2. Research Group on Natural Computing, University of Sevilla, Sevilla, Spain

    Mario J. Pérez-Jiménez

  3. Research Group on Natural Computing, University of Sevilla, Spain

    Agustín Riscos-Núñez

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

    Grzegorz Rozenberg

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

    Arto Salomaa

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Alhazov, A., Morita, K. (2010). On Reversibility and Determinism in P Systems. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2009. Lecture Notes in Computer Science, vol 5957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11467-0_12

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  • DOI: https://doi.org/10.1007/978-3-642-11467-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11466-3

  • Online ISBN: 978-3-642-11467-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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