Skip to main content
Springer Nature Link
Log in

On the Power of Dissolution in P Systems with Active Membranes

  • Conference paper
Membrane Computing (WMC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3850))

Included in the following conference series:

Abstract

In this paper we study membrane dissolution rules in the framework of P systems with active membranes but without using electrical charges. More precisely, we prove that the polynomial computational complexity class associated with the class of recognizer P systems with active membranes, without polarizations and without dissolution coincides with the standard complexity class P. Furthermore, we demonstrate that if we consider dissolution rules, then the resulting complexity class contains the class NP.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Alhazov, A., Freund, R., Păun, G.: P systems with active membranes and two polarizations. In: Păun, G., Riscos-Núñez, A., Romero-Jiménez, A., Sancho-Caparrini, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04, pp. 20–35 (2004)

    Google Scholar 

  2. Alhazov, A., Pan, L., Păun, G.: Trading polarizations for labels in P systems with active membranes. Acta Informaticae 41(2-3), 111–144 (2004)

    Article  MATH  Google Scholar 

  3. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: A fast P system for finding a balanced 2-partition. Soft Computing 9(9), 673–678 (2005)

    Article  MATH  Google Scholar 

  4. Krishna, S.N., Rama, R.: A variant of P systems with active membranes: Solving NP–complete problems. Romanian Journal of Information Science and Technology 2(4), 357–367 (1999)

    Google Scholar 

  5. Obtulowicz, A.: Deterministic P systems for solving SAT problem. Romanian Journal of Information Science and Technology 4(1–2), 551–558 (2001)

    MathSciNet  Google Scholar 

  6. Păun, G.: P systems with active membranes: Attacking NP–complete problems. Journal of Automata, Languages and Combinatorics 6(1), 75–90 (2001)

    MATH  MathSciNet  Google Scholar 

  7. Păun, G.: Computing with membranes: Attacking NP–complete problems. In: Antoniou, I., Calude, C., Dinneen, M.J. (eds.) Unconventional Models of Computation, UMC 2K, pp. 94–115. Springer, Heidelberg (2000)

    Google Scholar 

  8. Pérez–Jiménez, M.J.: An approach to computational complexity in Membrane Computing. In: Mauri, G., Păun, G., Jesús Pérez-Jímenez, M., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 85–109. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving the Subset-Sum problem by active membranes. New Generation Computing 23(4), 367–384 (2005)

    Google Scholar 

  10. Pérez-Jiménez, M.J., Riscos-Núñez, A.: A linear–time solution to the Knapsack problem using P systems with active membranes. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 250–268. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Pérez-Jiménez, M.J., Romero-Campero, F.J.: Solving the Bin Packing problem by recognizer P systems with active membranes. In: Păun, G., Riscos-Núñez, A., Romero-Jiménez, A., Sancho-Caparrini, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04, University of Seville, pp. 414–430 (2004)

    Google Scholar 

  12. Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. In: Csuhaj-Varjú, E., Kintala, C., Wotschke, D., Vaszil, G. (eds.) Proceedings of the 5th Workshop on Descriptional Complexity of Formal Systems, DCFS 2003, pp. 284–294 (2003)

    Google Scholar 

  13. Pérez-Jiménez, M.J., Romero-Campero, F.J.: Attacking the Common Algorithmic Problem by recognizer P systems. In: Margenstern, M. (ed.) MCU 2004. LNCS, vol. 3354, pp. 304–315. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Zandron, C., Ferreti, C., Mauri, G.: Solving NP-complete problems using P systems with active membranes. In: Antoniou, I., Calude, C., Dinneen, M.J. (eds.) Unconventional Models of Computation, UMC 2K, pp. 289–301. Springer, Heidelberg (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    Miguel A. Gutiérrez–Naranjo, Mario J. Pérez–Jiménez, Agustín Riscos–Núñez & Francisco J. Romero–Campero

Authors
  1. Miguel A. Gutiérrez–Naranjo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mario J. Pérez–Jiménez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Agustín Riscos–Núñez
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Francisco J. Romero–Campero
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J., Riscos–Núñez, A., Romero–Campero, F.J. (2006). On the Power of Dissolution in P Systems with Active Membranes. 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_16

Download citation

  • DOI: https://doi.org/10.1007/11603047_16

  • 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)

Publish with us

Policies and ethics