Skip to main content

Computational Semantics for Basic Protocol Logic – A Stochastic Approach

  • Conference paper
Advances in Computer Science – ASIAN 2007. Computer and Network Security (ASIAN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4846))

Included in the following conference series:

Abstract

This paper relates formal and computational models of cryptography in case of active adversaries when formal security analysis is done with first order logic. Instead of the way Datta et al. defined computational semantics to their Protocol Composition Logic, we introduce a new, fully probabilistic method to assign computational semantics to the syntax. We present this via considering a simple example of such a formal model, the Basic Protocol Logic by K. Hasebe and M. Okada [7] , but the technique is suitable for extensions to more complex situations such as PCL. We make use of the usual mathematical treatment of stochastic processes, hence are able to treat arbitrary probability distributions, non-negligible probability of collision, causal dependence or independence.

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. Abadi, M., Rogaway, P.: Reconciling two views of cryptography. Journal of Cryptology 15(2), 103–127 (2002)

    MATH  MathSciNet  Google Scholar 

  2. Backes, M., Pfitzmann, B., Waidner, M.: A composable cryptographic library with nested operations. In: Proceedings of CCS 2003, pp. 220–230. ACM Press, New York (2003)

    Chapter  Google Scholar 

  3. Bana, G., Hasebe, K., Okada, M.: Computational semantics for bpl - a stochastic approach. Available at IACR ePrint Archive, Report 2007/156

    Google Scholar 

  4. Datta, A., Derek, A., Mitchell, J.C., Pavlovic, D.: A derivation system and compositional logic for security protocols. Journal of Computer Security 13, 423–482 (2005)

    Google Scholar 

  5. Datta, A., Derek, A., Mitchell, J.C., Shmatikov, V., Turuani, M.: Probabilistic polynomial-time semantics for a protocol security logic. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds.) ICALP 2005. LNCS, vol. 3580, pp. 16–29. Springer, Heidelberg (2005)

    Google Scholar 

  6. Dolev, D., Yao, A.C.: On the security of public-key protocols. IEEE Transactions on Information Theory, 29(2), 198–208, March, Preliminary version presented at FOCS 1981 (1983)

    Google Scholar 

  7. Hasebe, K., Okada, M.: Completeness and counter-example generations of a basic protocol logic. In: Proceedings of RULE 2005, vol. 147(1), pp. 73–92. Elsevier, Amsterdam (2005), Available also at: http://dx.doi.org/10.1016/j.entcs.2005.06.038

    Google Scholar 

  8. Micciancio, D., Warinschi, B.: Soundness of formal encryption in the presence of active adversaries. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 133–151. Springer, Heidelberg (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Iliano Cervesato

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bana, G., Hasebe, K., Okada, M. (2007). Computational Semantics for Basic Protocol Logic – A Stochastic Approach. In: Cervesato, I. (eds) Advances in Computer Science – ASIAN 2007. Computer and Network Security. ASIAN 2007. Lecture Notes in Computer Science, vol 4846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76929-3_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76929-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76927-9

  • Online ISBN: 978-3-540-76929-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics