Skip to main content
SpringerLink
Log in

(Tissue) P Systems with Hybrid Transition Modes

  • Conference paper
Membrane Computing (WMC 2009)

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

Included in the following conference series:

  • 430 Accesses

Abstract

In addition to the maximally parallel transition mode used from the beginning in the area of membrane computing, many other transition modes for (tissue) P systems have been investigated since then. In this paper we consider (tissue) P systems with hybrid transition modes where each set of a covering of the whole set of rules may work in a different transition mode in a first level and all partitions of rules work together at a (second) level of the whole system on the current configuration in a maximally parallel way. With all partitions of noncooperative rules working in the maximally parallel mode, we obtain a characterization of Parikh sets of ET0L-languages, whereas with hybrid systems with the partitions either working in the maximally parallel and in the = 1-mode or with all partitions working in the = 1-mode we can simulate catalytic or purely catalytic P systems, respectively, thus obtaining computational completeness.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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 

  2. Beyreder, M., Freund, R.: Membrane systems using noncooperative rules with unconditional halting. In: Corne, D.W., Frisco, P., Paun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2008. LNCS, vol. 5391, pp. 129–136. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  5. Csuhaj-Varjú, E., Dessow, J., Kelemen, J., Păun, Gh.: Grammar Systems: A Grammatical Approach to Distribution and Cooperation. Gordon and Breach Science Publishers, Amsterdam (1994)

    MATH  Google Scholar 

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

    MathSciNet  Google Scholar 

  7. 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 

  8. 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 

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

    Google Scholar 

  10. 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 

  11. Minsky, M.L.: Computation – Finite and Infinite Machines. Prentice Hall, Englewood Cliffs (1967)

    MATH  Google Scholar 

  12. 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 

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

    MATH  Google Scholar 

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

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  16. The P Systems web page, http://ppage.psystems.eu

Download references

Author information

Authors and Affiliations

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

    Rudolf Freund & Marian Kogler

Authors
  1. Rudolf Freund
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marian Kogler
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Freund, R., Kogler, M. (2010). (Tissue) P Systems with Hybrid Transition Modes. 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_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11467-0_19

  • 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)

Publish with us

Policies and ethics

Search

Navigation