Skip to main content

Partial-order methods for temporal verification

  • Invited Talk
  • Conference paper
  • First Online:
CONCUR'93 (CONCUR 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 715))

Included in the following conference series:

Abstract

A common approach for verifying a concurrent system is to compute the product of finite-state descriptions of the processes involved. Unfortunately, the size of this product is frequently prohibitive due, among other causes, to the modelling of concurrency by interleaving. However, computing all interleavings of concurrent events is not a priori necessary for verification: interleavings corresponding to the same concurrent execution contain related information. One can thus hope to be able to verify properties of a concurrent system without computing all interleavings of its executions. This paper overviews a collection of techniques that make this possible.

This work was supported by the Esprit BRA action REACT (6021) and by the Belgian Incentive Program “Information Technology” — Computer Science of the future, initiated by the Belgian State — Prime Minister's Office — Science Policy Office. The scientific responsibility is assumed by its authors.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Alpern and F. B. Schneider. Recognizing safety and liveness. Distributed Computing, 2:117–126, 1987.

    Article  Google Scholar 

  2. C. Courcoubetis, M. Vardi, P. Wolper, and M. Yannakakis. Memory efficient algorithms for the verification of temporal properties. Formal Methods in System Design, 1:275–288, 1992.

    Article  Google Scholar 

  3. P. Godefroid, G. J. Holzmann, and D. Pirottin. State space caching revisited. In Proc. 4th Workshop on Computer Aided Verification, Montreal, June 1992.

    Google Scholar 

  4. P. Godefroid. Using partial orders to improve automatic verification methods. In Proc. 2nd Workshop on Computer Aided Verification, volume 531 of Lecture Notes in Computer Science, pages 176–185, Rutgers, June 1990. Springer-Verlag.

    Google Scholar 

  5. P. Godefroid and D. Pirottin. Refining dependencies improves partial-order verification methods. In Proc. 5th Workshop on Computer Aided Verification, Elounda, June 1993. Lecture Notes in Computer Science, Springer-Verlag.

    Google Scholar 

  6. P. Godefroid and P. Wolper. A partial approach to model checking. In Proc. 6th Symp. on Logic in Computer Science, pages 406–415, Amsterdam, July 1991.

    Google Scholar 

  7. P. Godefroid and P. Wolper. Using partial orders for the efficient verification of deadlock freedom and safety properties. In Proc. 3rd Workshop on Computer Aided Verification, volume 575 of Lecture Notes in Computer Science, pages 332–342, Aalborg, July 1991. Springer-Verlag.

    Google Scholar 

  8. P. Godefroid and P. Wolper. Using partial orders for the efficient verification of deadlock freedom and safety properties. Formal Methods in System Design, 2(2):149–164, April 1993.

    Article  Google Scholar 

  9. G. J. Holzmann, P. Godefroid, and D. Pirottin. Coverage preserving reduction strategies for reachability analysis. In Proc. 12th International Symposium on Protocol Specification, Testing, and Verification, Lake Buena Vista, Florida, June 1992. North-Holland.

    Google Scholar 

  10. G. Holzmann. Design and Validation of Computer Protocols. Prentice-Hall International Editions, 1991.

    Google Scholar 

  11. S. Katz and D. Peled. Defining conditional independence using collapses. Theoretical Computer Science, 101:337–359, 1992.

    Article  Google Scholar 

  12. A. Mazurkiewicz. Trace theory. In Petri Nets: Applications and Relationships to Other Models of Concurrency, Advances in Petri Nets 1986, Part II; Proceedings of an Advanced Course, volume 255 of Lecture Notes in Computer Science, pages 279–324, 1986.

    Google Scholar 

  13. K. McMillan. Using unfolding to avoid the state explosion problem in the verification of asynchronous circuits. In Proc. 4th Workshop on Computer Aided Verification, Montreal, June 1992.

    Google Scholar 

  14. W. T. Overman. Verification of Concurrent Systems: Function and Timing. PhD thesis, University of California Los Angeles, 1981.

    Google Scholar 

  15. D. Peled. All from one, one for all: on model checking using representatives. In Proc. 5th Workshop on Computer Aided Verification, Elounda, June 1993. Lecture Notes in Computer Science, Springer-Verlag.

    Google Scholar 

  16. D. K. Probst and H. F. Li. Abstract specification, composition and proof of correctness of delay-insensitive circuits and systems. Cs-vlsi-88-2, Department of Computer Science, Concordia University, Montreal, Quebec Canada, 1989.

    Google Scholar 

  17. D. K. Probst and H. F. Li. Using partial-order semantics to avoid the state explosion problem in asynchronous systems. In Proc. 2nd Workshop on Computer Aided Verification, volume 531 of Lecture Notes in Computer Science, pages 146–155, Rutgers, June 1990. Springer-Verlag.

    Google Scholar 

  18. A. Valmari. A stubborn attack on state explosion. In Proc. 2nd Workshop on Computer Aided Verification, volume 531 of Lecture Notes in Computer Science, pages 156–165, Rutgers, June 1990. Springer-Verlag.

    Google Scholar 

  19. A. Valmari. Stubborn sets for reduced state space generation. In Advances in Petri Nets 1990, volume 483 of Lecture Notes in Computer Science, pages 491–515. Springer-Verlag, 1991.

    Google Scholar 

  20. A. Valmari. On-the-fly verification with stubborn sets. In Proc. 5th Workshop on Computer Aided Verification, Elounda, June 1993. Lecture Notes in Computer Science, Springer-Verlag.

    Google Scholar 

  21. M.Y. Vardi and P. Wolper. An automata-theoretic approach to automatic program verification. In Proc. Symp. on Logic in Computer Science, pages 322–331, Cambridge, June 1986.

    Google Scholar 

  22. P. Wolper. On the relation of programs and computations to models of temporal logic. In B. Banieqbal, H. Barringer, and A. Pnueli, editors, Proc. Temporal Logic in Specification, volume 398, pages 75–123. Lecture Notes in Computer Science, Springer-Verlag, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Eike Best

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wolper, P., Godefroid, P. (1993). Partial-order methods for temporal verification. In: Best, E. (eds) CONCUR'93. CONCUR 1993. Lecture Notes in Computer Science, vol 715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57208-2_17

Download citation

  • DOI: https://doi.org/10.1007/3-540-57208-2_17

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57208-4

  • Online ISBN: 978-3-540-47968-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics