Nothing Special   »   [go: up one dir, main page]

Skip to main content

Events, Causality, and Concurrency in Membrane Systems

  • Conference paper
Membrane Computing (WMC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4860))

Included in the following conference series:

Abstract

This paper presents a modular approach to causality in membrane systems, using both string and multiset rewriting. In order to deal with membrane systems, the event structures are extended with notions like maximal concurrent transitions and saturated states with respect to concurrency. The event structure of a membrane system is defined in two steps: first the event structure of a maximal parallel step in membranes is defined, and then it is combined with a communication step. The main result of the paper proves that an event structure of a membrane corresponds to its operational semantics. Event structures for communicating membranes are also defined.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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.

Similar content being viewed by others

References

  1. Aman, B., Ciobanu, G.: Describing the Immune System Using Enhanced Mobile Membranes. In: Proceedings FBTC (Satellite workshop of CONCUR 2007), pp. 1–14 (2007)

    Google Scholar 

  2. Andrei, O., Ciobanu, G., Lucanu, D.: A Structural Operational Semantics of the P Systems. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 32–49. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  3. Andrei, O., Ciobanu, G., Lucanu, D.: Operational Semantics and Rewriting Logic in Membrane Computing. Electronic Notes of Theoretical Computer Sci. 156, 57–78 (2006)

    Article  Google Scholar 

  4. Andrei, O., Ciobanu, G., Lucanu, D.: A Rewriting Logic Framework for Operational Semantics of Membrane Systems. Theoretical Computer Sci. 373, 163–181 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Besozzi, D., Ciobanu, G.: A P System Description of the Sodium-Potassium Pump. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 211–223. Springer, Heidelberg (2005)

    Google Scholar 

  6. Busi, N.: Causality in membrane systems. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2007. LNCS, vol. 4860, pp. 160–171. Springer, Heidelberg (2007)

    Google Scholar 

  7. Ciobanu, G., Lucanu, D.: What is an event for membrane systems? In: Pre procedings of Membrane Computing, International Workshop - WMC 8, Thessaloniki, Greece, pp. 255–266 (2007)

    Google Scholar 

  8. Ciobanu, G., Păun, G., Perez-Jimenez, M.J. (eds.): Applications of Membrane Computing. Natural Computing Series. Springer, Heidelberg (2006)

    Google Scholar 

  9. Nielsen, M., Rozenberg, G., Thiagarajan, P.S.: Transition Systems, Event Structures, and Unfoldings. Information and Computation 118, 191–207 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  10. Păun, G.: Computing with Membranes. Journal of Computer and System Sciences 61, 108–143 (2000)

    Article  MathSciNet  Google Scholar 

  11. Păun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)

    Google Scholar 

  12. Sassone, V., Nielsen, M., Winskel, G.: Models for Concurrency: Towards a Classification. Theoretical Computer Sci. 170, 297–348 (1996)

    MATH  MathSciNet  Google Scholar 

  13. Winskel, G.: Event structures. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) Advances in Petri Nets 1986. LNCS, vol. 255, pp. 325–392. Springer, Heidelberg (1987)

    Google Scholar 

  14. Winskel, G.: An introduction to event structures. In: de Bakker, J.W., de Roever, W.-P., Rozenberg, G. (eds.) Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency. LNCS, vol. 354, pp. 364–397. Springer, Heidelberg (1989)

    Chapter  Google Scholar 

  15. Winskel, G., Nielsen, M.: Models for Concurrency. In: Abramsky, S., Gabbay, D., Maibaum, T.S.E. (eds.) Handbook of Logic in Computer Science, Oxford University Press, Oxford (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

George Eleftherakis Petros Kefalas Gheorghe Păun Grzegorz Rozenberg Arto Salomaa

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ciobanu, G., Lucanu, D. (2007). Events, Causality, and Concurrency in Membrane Systems. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2007. Lecture Notes in Computer Science, vol 4860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77312-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-77312-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77311-5

  • Online ISBN: 978-3-540-77312-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics