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On Descriptive Complexity of P Systems

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Membrane Computing (WMC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3365))

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Abstract

In this paper we address the problem of describing the complexity of the evolution of a P system. This issue is is specially hard in the case of P systems with active membranes, where the number of steps of a computation is not sufficient to evaluate the complexity. Sevilla carpets were introduced in [1], and they describe the space-time complexity of P systems. Based on them, we define some new parameters which can be used to compare evolutions of P systems. To illustrate this, we also include two different cellular solutions to the Subset Sum problem and compare them via these new parameters.

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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 & Agustin Riscos-Núñez

Authors
  1. Miguel A. Gutiérrez-Naranjo
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  2. Mario J. Pérez-Jiménez
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  3. Agustin Riscos-Núñez
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Editor information

Editors and Affiliations

  1. Complex Systems and Artificial Intelligence Research Center, University of Milan–Bicocca, Italy

    Giancarlo Mauri

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

    Gheorghe Păun

  3. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Seville, Avda. Reina Mercedes, 41012, Sevilla, Spain

    Mario J. Pérez-Jiménez

  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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Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A. (2005). On Descriptive Complexity of P Systems. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_20

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  • DOI: https://doi.org/10.1007/978-3-540-31837-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25080-7

  • Online ISBN: 978-3-540-31837-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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