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Transition and Halting Modes in (Tissue) P Systems

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Membrane Computing (WMC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5957))

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Abstract

A variety of different transition modes for (tissue) P systems as well as several halting modes currently are used in the area of membrane computing. In this paper, the definitions of the most important transition modes and halting modes are explained based on networks of cells, a general model for tissue P systems. Moreover, some results for specific variants of (tissue) P systems working on multisets of objects are recalled.

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References

  1. Alhazov, A., Freund, R., Oswald, M., Slavkovik, M.: Extended spiking neural P systems generating strings and vectors of non-negative integers. In: Hoogeboom, H.J., Paun, Gh., Rozenberg, G. (eds.) Pre-proceedings of Membrane Computing, International Workshop, WMC7, Leiden, The Netherlands, pp. 88–101 (2006)

    Google Scholar 

  2. Alhazov, A., Freund, R., Oswald, M., Verlan, S.: Partial versus total halting in P systems. In: Gutiérrez-Naranjo, M.A., Păun, Gh., Pérez-Jiménez, M.J. (eds.) Cellular Computing (Complexity Aspects), ESF PESC Exploratory Workshop, Fénix Editorial, Sevilla, pp. 1–20 (2005)

    Google Scholar 

  3. Alhazov, A., Freund, R., Oswald, M., Verlan, S.: Partial halting in P systems using membrane rules with permitting contexts. In: Durand-Lose, J., Margenstern, M. (eds.) MCU 2007. LNCS, vol. 4664, pp. 110–121. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Beyreder, M., Freund, R.: (Tissue) P systems using noncooperative rules without halting conditions. In: Frisco, P., et al. (eds.) Pre-Proc. Ninth Workshop on Membrane Computing (WMC9), Edinburgh, pp. 85–94 (2008)

    Google Scholar 

  5. Bernardini, F., Gheorghe, M., Margenstern, M., Verlan, S.: Networks of Cells and Petri Nets. In: Gutiérrez-Naranjo, M.A., et al. (eds.) Proc. Fifth Brainstorming Week on Membrane Computing, Sevilla, pp. 33–62 (2007)

    Google Scholar 

  6. Ciobanu, G., Pan, L., Păun, Gh., Pérez-Jim énez, M.J.: P systems with minimal parallelism. Theoretical Computer Science 378(1), 117–130 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Csuhaj-Varjú, E.: Networks of language processors. Current Trends in Theoretical Computer Science, 771–790 (2001)

    Google Scholar 

  8. Dassow, J., Păun, Gh.: On the power of membrane computing. Journal of Universal Computer Science 5(2), 33–49 (1999)

    MathSciNet  Google Scholar 

  9. Freund, R., Kari, L., Oswald, M., Sosík, P.: Computationally universal P systems without priorities: two catalysts are sufficient. Theoretical Computer Science 330, 251–266 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  10. Freund, R., Oswald, M.: Partial halting in P systems. Intern. J. Foundations of Computer Sci. 18, 1215–1225 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Freund, R., Păun, Gh., Pérez-Jiménez, M.J.: Tissue-like P systems with channel states. Theoretical Computer Science 330, 101–116 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Freund, R., Verlan, S.: A formal framework for P systems. In: Eleftherakis, G., Kefalas, P., Paun, Gh. (eds.) Pre-proceedings of Membrane Computing, International Workshop – WMC8, Thessaloniki, Greece, pp. 317–330 (2007)

    Google Scholar 

  13. Freund, R., Verlan, S.: (Tissue) P systems working in the k-restricted minimally parallel derivation mode. In: Csuhaj-Varjú, E., et al. (eds.) Proceedings of the International Workshop on Computing with Biomolecules, Österreichische Computer Gesellschaft, pp. 43–52 (2008)

    Google Scholar 

  14. Ionescu, M., Păun, Gh., Yokomori, T.: Spiking neural P systems. Fundamenta Informaticae 71(2-3), 279–308 (2006)

    MATH  MathSciNet  Google Scholar 

  15. Păun, A., Păun, Gh.: The power of communication: P systems with symport/ antiport. New Generation Computing 20(3), 295–306 (2002)

    Article  MATH  Google Scholar 

  16. Păun, Gh.: Computing with membranes. J. of Computer and System Sciences 61(1), 108–143 (2000); TUCS Research Report 208 (1998), http://www.tucs.fi

    Article  MATH  Google Scholar 

  17. Păun, Gh.: Membrane Computing. An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  18. Rogozhin, Y., Alhazov, A., Freund, R.: Computational power of symport/antiport: history, advances, and open problems. In: Freund, R., Păun, Gh., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 1–30. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  19. Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages, 3 vols. Springer, Berlin (1997)

    MATH  Google Scholar 

  20. Păun, Gh., Sakakibara, Y., Yokomori, T.: P systems on graphs of restricted forms. Publicationes Matimaticae 60, 635–660 (2002)

    MATH  Google Scholar 

  21. Păun, Gh., Yokomori, T.: Membrane computing based on splicing. In: Winfree, E., Gifford, D.K. (eds.) DNA Based Computers V. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 54, pp. 217–232. American Mathematical Society, Providence (1999)

    Google Scholar 

  22. The P Systems, http://ppage.psystems.eu

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Author information

Authors and Affiliations

  1. Faculty of Informatics, Vienna University of Technology, Favoritenstr. 9, 1040, Vienna, Austria

    Rudolf Freund

Authors
  1. Rudolf Freund
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Editor information

Editors and Affiliations

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

    Gheorghe Păun

  2. Research Group on Natural Computing, University of Sevilla, Sevilla, Spain

    Mario J. Pérez-Jiménez

  3. Research Group on Natural Computing, University of Sevilla, Spain

    Agustín Riscos-Núñez

  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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Freund, R. (2010). Transition and Halting Modes in (Tissue) P Systems. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2009. Lecture Notes in Computer Science, vol 5957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11467-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-11467-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11466-3

  • Online ISBN: 978-3-642-11467-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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