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On the Computational Complexity of P Automata

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DNA Computing (DNA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3384))

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Abstract

We characterize the classes of languages described by P automata, i.e., accepting P systems with communication rules only. Motivated by properties of natural computing systems, we study computational complexity classes with a certain restriction on the use of the available workspace in the course of computations and relate these to the language classes described by P automata. We prove that if the rules of the P system are applied sequentially, then the accepted language class is strictly included in the class of languages accepted by one-way Turing machines with a logarithmically bounded workspace, and if the rules are applied in the maximal parallel manner, then the class of context-sensitive languages is obtained.

The research of E. Csuhaj-Varjú and Gy. Vaszil was supported in part by the Hungarian Scientific Research Fund “OTKA” grant no. T 042529. The research of O. H. Ibarra was supported in part by NSF Grants IIS-0101134 and CCR02-08595.

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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, 1111, Budapest, Hungary

    Erzsébet Csuhaj-Varjú & György Vaszil

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

    Oscar H. Ibarra

Authors
  1. Erzsébet Csuhaj-Varjú
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  2. Oscar H. Ibarra
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  3. György Vaszil
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Editors and Affiliations

  1. Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano – Bicocca, Via Bicocca degli Arcimboldi 8, 20126, Milano, Italy

    Claudio Ferretti  & Claudio Zandron  & 

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

    Giancarlo Mauri

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© 2005 Springer-Verlag Berlin Heidelberg

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Csuhaj-Varjú, E., Ibarra, O.H., Vaszil, G. (2005). On the Computational Complexity of P Automata. In: Ferretti, C., Mauri, G., Zandron, C. (eds) DNA Computing. DNA 2004. Lecture Notes in Computer Science, vol 3384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11493785_7

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  • DOI: https://doi.org/10.1007/11493785_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26174-2

  • Online ISBN: 978-3-540-31844-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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