Skip to main content

A Fibred Belief Logic for Multi-agent Systems

  • Conference paper
AI 2005: Advances in Artificial Intelligence (AI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3809))

Included in the following conference series:

Abstract

To introduce a temporal dimension to a belief logic, we consider a powerful technique called fibring for combining belief logics and temporal logics. In a fibred belief logic, both temporal operators and belief operators are treated equally. This paper in particular discusses a combination of a belief logic called Typed-Modal Logic with a linear-time temporal logic. We show that, in the resulting logic, we can specify and reason about not only agent beliefs but also the timing properties of a system. With this logical system one is able to build theories of trust for the description of, and reasoning about, multi-agent systems.

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 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Broadfoot, P., Lowe, G.: Analysing a stream authentication protocol using model checking. In: Proc. of the 7th European Symposium on Research in Computer Security, ESORICS (2002)

    Google Scholar 

  2. Burrows, M., Abadi, M., Needham, R.M.: A logic of authentication. ACM Transactions on Computer Systems 8(1), 18–36 (1990)

    Article  Google Scholar 

  3. Clarke, E., Jha, S., Marrero, W.: A machine checkable logic of knowledge for specifying security properties of electronic commerce protocols. In: Proc. of the Workshop on Formal Methods and Security Protocols (1998)

    Google Scholar 

  4. Durgin, N., Mitchell, J., Pavlovic, D.: A compositional logic for proving security properties of protocols. Journal of Computer Security 11, 677–721 (2003)

    Google Scholar 

  5. Gabbay, D.M.: Fibring Logics. Oxford University Press, Oxford (1999)

    MATH  Google Scholar 

  6. Halpern, J.Y., Moses, Y.: A guide to completeness and complexity for modal logics of knowledge and belief. Artificial Intelligence 54, 319–379 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hughes, G.E., Cresswell, M.J.: A New Introduction to Modal Logic, Routledge (1996)

    Google Scholar 

  8. Liu, C., Orgun, M.A.: Dealing with multiple granularity of time in temporal logic programming. Journal of Symbolic Computation 22, 699–720 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  9. Liu, C., Ozols, M.A., Orgun, M.A.: A temporalised belief logic for specifying the dynamics of trust for multi-agent systems. In: Maher, M.J. (ed.) ASIAN 2004. LNCS, vol. 3321, pp. 142–156. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. McMillan, K.L.: Symbolic model checking - an approach to the state explosion problem. PhD thesis, SCS, Carnegie Mellon University (1992)

    Google Scholar 

  11. Mendelson, E.: Introduction to Mathematical Logic, 4th edn. International Thomson Publishing (1997)

    Google Scholar 

  12. Perrig, A., Canetti, R., Tygar, J.D., Song, D.: Efficient authentication and signing of multicast streams over lossy channels. In: IEEE Symposium on Security and Privacy, pp. 56–73 (May 2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, C., Ozols, M.A., Orgun, M.A. (2005). A Fibred Belief Logic for Multi-agent Systems. In: Zhang, S., Jarvis, R. (eds) AI 2005: Advances in Artificial Intelligence. AI 2005. Lecture Notes in Computer Science(), vol 3809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11589990_6

Download citation

  • DOI: https://doi.org/10.1007/11589990_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30462-3

  • Online ISBN: 978-3-540-31652-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics