Skip to main content

Partial Knowledge in Membrane Systems: A Logical Approach

  • Conference paper
Membrane Computing (WMC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4361))

Included in the following conference series:

Abstract

We propose a logic for specifying and proving properties of membrane systems. The main idea is to approach a membrane system by using the “point of view” of an external observer. Observers (as epistemic agents) accumulate their knowledge from the partial information they collect by observing subparts of the system and by applying logical reasoning to this information. We provide a formal framework to combine and interpret distributed knowledge in order to recover the complete knowledge about a membrane system. The proposed logic can be used to model biological situations where information concerning parts of the biological system is missing or incomplete.

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

Access this chapter

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. Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K., Walter, P.: Molecular Biology of the Cell, 4th edn. Garland Publishing, Inc. (2002)

    Google Scholar 

  2. Caires, L., Cardelli, L.: A Spatial Logic for Concurrency (Part I). Information and Computation 186(2) (2003)

    Google Scholar 

  3. Caires, L., Cardelli, L.: A Spatial Logic for Concurrency (Part II). In: Brim, L., Jančar, P., Křetínský, M., Kucera, A. (eds.) CONCUR 2002. LNCS, vol. 2421, p. 209. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Caires, L., Lozes, É.: Elimination of Quantifiers and Decidability in Spatial Logics for Concurrency. In: Gardner, P., Yoshida, N. (eds.) CONCUR 2004. LNCS, vol. 3170, pp. 240–257. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Cardelli, L., Gordon, A.D.: Anytime, Anywhere: Modal Logics for Mobile Ambients. In: Proceedings of the 27th ACM Symposium on Principles of Programming Languages (2000)

    Google Scholar 

  6. Cardelli, L., Gordon, A.D.: Ambient Logic. Mathematical Structures in Computer Science (to appear)

    Google Scholar 

  7. Cavaliere, M., Leupold, P.: Evolution and Observation: A New Way to Look at Membrane Systems. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 70–87. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Berlin (1989)

    Google Scholar 

  9. Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning about Knowledge. MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  10. Harel, D., Kozen, D., Tiuryn, J.: Dynamic Logic. MIT Press, Cambridge (2000)

    MATH  Google Scholar 

  11. Hennessy, M., Milner, R.: Algebraic Laws for Nondeterminism and Concurrency. Journal of ACM 32(1) (1985)

    Google Scholar 

  12. Mardare, R.: Logical Analysis of Complex Systems: Dynamic Epistemic Spatial Logics. PhD Thesis, DIT, University of Trento, Italy (2006), Available from: http://www.dit.unitn.it/~mardare/publications.htm

  13. Mardare, R., Priami, C.: Decidable Extensions of Hennessy-Milner Logic. In: Najm, E., Pradat-Peyre, J.-F., Donzeau-Gouge, V.V. (eds.) FORTE 2006. LNCS, vol. 4229, pp. 196–211. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Mardare, R., Priami, C.: Model Checking Dynamic Epistemic Spatial Logics.Technical Report DIT-06-009, Informatica e Telecomunicationi, University of Trento (2006)

    Google Scholar 

  15. Mardare, R., Priami, C.: Dynamic Epistemic Spatial Logics. Technical Report, 03/2006, Microsoft Research Center for Computational and Systems Biology, Trento, Italy (2006)

    Google Scholar 

  16. Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  18. The P Systems Web Page: http://psystems.disco.unimib.it

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cavaliere, M., Mardare, R. (2006). Partial Knowledge in Membrane Systems: A Logical Approach. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_18

Download citation

  • DOI: https://doi.org/10.1007/11963516_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69088-7

  • Online ISBN: 978-3-540-69090-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics