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On Symport/Antiport P Systems and Semilinear Sets

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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

We introduce some restricted models of symport/antiport P systems that are used as acceptors (respectively, generators) of sets of tuples of non-negative integers and show that they characterize precisely the semilinear sets. Specifically, we prove that a set R ⊆ Nk is accepted (respectively, generated) by a restricted system if and only if R is a semilinear set. We also show that “slight” extensions of the models will allow them to accept (respectively, generate) non-semilinear sets. In fact, for these extensions, the emptiness problem is undecidable.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of California, Santa Barbara, CA, 93106, USA

    Oscar H. Ibarra & Sara Woodworth

  2. Department of Electrical Engineering, National Taiwan University, Taipei, 106, Taiwan, R.O.C

    Hsu-Chun Yen

  3. School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA, 99164, USA

    Zhe Dang

Authors
  1. Oscar H. Ibarra
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  2. Sara Woodworth
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  3. Hsu-Chun Yen
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  4. Zhe Dang
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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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Ibarra, O.H., Woodworth, S., Yen, HC., Dang, Z. (2006). On Symport/Antiport P Systems and Semilinear Sets. 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_18

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  • DOI: https://doi.org/10.1007/11603047_18

  • 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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