Skip to main content

Static Analysis of Programs Using Omega Algebra with Tests

  • Conference paper
Relational Methods in Computer Science (RelMiCS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3929))

Included in the following conference series:

Abstract

Recently, Kozen has proposed a framework based on Kleene algebra with tests for verifying that a program satisfies a security policy specified by a security automaton. A security automaton is used for the specification of linear safety properties on finite and infinite runs. This kind of property is very interesting for most common programs. However, it is not possible to specify liveness properties with security automata. In this paper, we use omega algebra with tests and automata on infinite words to extend the field of properties that can be handled by security automata in Kozen’s framework.

This research was supported by NSERC (Natural Sciences and Engineering Research Council of Canada).

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. Bolduc, C.: Oméga-algèbre — Théorie et application en vérification de programmes. Forthcoming M.Sc. thesis, Université Laval, Québec, Canada (2006)

    Google Scholar 

  2. Chaki, S., Clarke, E.M., Ouaknine, J., Sharygina, N., Sinha, N.: State/event-based software model checking. In: Boiten, E.A., Derrick, J., Smith, G.P. (eds.) IFM 2004. LNCS, vol. 2999, pp. 128–147. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Cohen, E.: Separation and reduction. In: Backhouse, R., Oliveira, J.N. (eds.) MPC 2000. LNCS, vol. 1837, pp. 45–59. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Cohen, E.: Omega algebra and concurrency control. Presentation made at the 56th meeting of the IFIP Working Group 2.1, Ameland, The Netherlands (2001)

    Google Scholar 

  5. Dwyer, M.B., Avrunin, G.S., Corbett, J.C.: Patterns in property specifications for finite-state verification. In: 21st International Conference on Software Engineering, pp. 411–420. IEEE Computer Society Press, Los Alamitos (1999)

    Google Scholar 

  6. Kozen, D.: Some results in dynamic model theory. Science of Computer Programming 51, 3–22 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kozen, D.: Kleene algebra with tests and the static analysis of programs. Technical report 1915-2003, Computer Science Department, Cornell University (2003)

    Google Scholar 

  8. Kozen, D., Smith, F.: Kleene algebra with tests: Completeness and decidability. In: van Dalen, D., Bezem, M. (eds.) CSL 1996. LNCS, vol. 1258, pp. 244–259. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  9. Möller, B.: Lazy Kleene algebra. In: Kozen, D. (ed.) MPC 2004. LNCS, vol. 3125, pp. 252–273. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Safra, S.: Complexity of Automata on Infinite Objects. Ph.D. thesis, Weizmann Institute of Science, Rehovot, Israel (1989)

    Google Scholar 

  11. Schneider, F.B.: Enforceable security policies. ACM Transactions on Information and System Security 3, 30–50 (2000)

    Article  Google Scholar 

  12. von Wright, J.: From Kleene algebra to refinement algebra. LNCS, vol. 2385, pp. 233–262. Springer, Heidelberg (2002)

    MATH  Google Scholar 

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

Bolduc, C., Desharnais, J. (2006). Static Analysis of Programs Using Omega Algebra with Tests. In: MacCaull, W., Winter, M., Düntsch, I. (eds) Relational Methods in Computer Science. RelMiCS 2005. Lecture Notes in Computer Science, vol 3929. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11734673_5

Download citation

  • DOI: https://doi.org/10.1007/11734673_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33339-5

  • Online ISBN: 978-3-540-33340-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics