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On the Power of Catalytic P Systems with One Catalyst

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Membrane Computing (CMC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9504))

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Abstract

We show that catalytic P systems with one catalyst can simulate partially blind register machines and partially blind counter automata. To demonstrate their capability, we also present an example of a P automaton with one catalyst accepting a language with non-semilinear Parikh image as well as an example of a P system with one catalyst generating a non-semilinear vector set.

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Acknowledgements

This work was supported by the European Regional Development Fund in the IT4Innovations Centre of Excellence project (CZ.1.05/1.1.00/02.0070), and by the Silesian University in Opava under the Student Funding Scheme, project SGS/6/2014.

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Authors and Affiliations

  1. Faculty of Informatics, TU Wien, Favoritenstraße 9-11, 1040, Vienna, Austria

    Rudolf Freund

  2. Faculty of Philosophy and Science, Research Institute of the IT4Innovations Centre of Excellence, Silesian University in Opava, Opava, Czech Republic

    Petr Sosík

Authors
  1. Rudolf Freund
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  2. Petr Sosík
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Corresponding author

Correspondence to Rudolf Freund .

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Editors and Affiliations

  1. LIACS, Leiden University, Leiden, Zuid-Holland, The Netherlands

    Grzegorz Rozenberg

  2. Turku Center for Computer Science, Turku, Finland

    Arto Salomaa

  3. Universidad Politécnica de Valencia, Valencia, Spain

    José M. Sempere

  4. University of Milan-Bicocca, Milano, Italy

    Claudio Zandron

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Freund, R., Sosík, P. (2015). On the Power of Catalytic P Systems with One Catalyst. In: Rozenberg, G., Salomaa, A., Sempere, J., Zandron, C. (eds) Membrane Computing. CMC 2015. Lecture Notes in Computer Science(), vol 9504. Springer, Cham. https://doi.org/10.1007/978-3-319-28475-0_10

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  • DOI: https://doi.org/10.1007/978-3-319-28475-0_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28474-3

  • Online ISBN: 978-3-319-28475-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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