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P Colonies with a Bounded Number of Cells and Programs

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Membrane Computing (WMC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4361))

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Abstract

We continue the investigation of P colonies, a class of abstract computing devices composed of very simple agents (computational tools), acting and evolving in a shared environment. We show that if P colonies are initialized by placing a number of copies of a certain object in the environment, then they can generate any recursively enumerable set of numbers with a bounded number of cells, each cell containing a bounded number of programs (of bounded length), for constant bounds.

This publication was supported by the Hungarian Foundation for Research and Technological Innovation (project no. TéT F-19/04) and the EGIDE in France (project no. Balaton 09000TC, year 2005) in the frame of the Hungarian-French Intergovernmental Scientific and Technological Cooperation. The work of Erzsébet Csuhaj-Varjú and György Vaszil was also supported by the Hungarian Scientific Research Fund “OTKA” grant no. T 042529.

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References

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Author information

Authors and Affiliations

  1. Computer and Automation Research Institute, Hungarian Academy of Sciences, Kende utca 13–17, H-1111, Budapest, Hungary

    Erzsébet Csuhaj-Varjú & György Vaszil

  2. Department of Algorithms and Their Applications, Loránd Eötvös University, Pázmány Péter sétány 1/c, H-1117, Budapest, Hungary

    Erzsébet Csuhaj-Varjú

  3. LITA, Université Paul Verlaine – Metz, EA 3097, Île du Saulcy, 57045, Metz Cedex 1, France

    Maurice Margenstern

Authors
  1. Erzsébet Csuhaj-Varjú
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  2. Maurice Margenstern
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  3. György Vaszil
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Editor information

Editors and Affiliations

  1. Leiden Institute of Advanced Computer Science, Universiteit Leiden, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Hendrik Jan Hoogeboom

  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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Csuhaj-Varjú, E., Margenstern, M., Vaszil, G. (2006). P Colonies with a Bounded Number of Cells and Programs. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_22

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  • DOI: https://doi.org/10.1007/11963516_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69088-7

  • Online ISBN: 978-3-540-69090-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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