Skip to main content

Exploring the Scope for Partial Order Reduction

  • Conference paper
Automated Technology for Verification and Analysis (ATVA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5799))

Abstract

Partial order reduction methods combat state explosion by exploring only a part of the full state space. In each state a subset of enabled transitions is selected using well-established criteria. Typically such criteria are based on an upper approximation of dependencies between transitions. An additional heuristic is needed to ensure that currently disabled transitions stay disabled in the discarded execution paths. Usually rather coarse approximations and heuristics have been used, together with fast, simple algorithms that do not fully exploit the information available. More powerful approximations, heuristics, and algorithms had been suggested early on, but little is known whether their use pays off. We approach this question, not by trying alternative methods, but by investigating how much room the popular methods leave for better reduction. We do this via a series of experiments that mimic the ultimate reduction obtainable under certain conditions.

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. Clarke, E.M., Grumberg, O., Minea, M., Peled, D.: State space reduction using partial order techniques. Software Tools for Technology Transfer 2(3), 279–287 (1999)

    Article  MATH  Google Scholar 

  2. Clarke, E.M., Grumberg, O., Peled, D.A.: Model Checking. MIT Press, Cambridge (1999)

    Google Scholar 

  3. Flanagan, C., Godefroid, P.: Dynamic partial-order reduction for model checking software. In: Palsberg, J., Abadi, M. (eds.) Proceedings of the 32nd Annual ACM Symposium on Principles of Programming Languages, January 2005, pp. 110–121 (2005)

    Google Scholar 

  4. Godefroid, P.: Partial-order Methods for the Verification of Concurrent Systems: an Approach to the State-explosion Problem. LNCS, vol. 1032. Springer, Heidelberg (1996)

    Google Scholar 

  5. Godefroid, P., Pirottin, D.: Refining dependencies improves partial-order verification methods (extended abstract). In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 438–449. Springer, Heidelberg (1993)

    Google Scholar 

  6. Holzmann, G.J.: The SPIN Model Checker: Primer and Reference Manual. Addison-Wesley, Reading (2004)

    Google Scholar 

  7. Holzmann, G.J., Peled, D.: An improvement in formal verification. In: Hogrefe, D., Leue, S. (eds.) Proceedings of the 7th IFIP TC6/WG6.1 International Conference on Formal Description Techniques (FORTE 1994), June 1994, pp. 197–211 (1994)

    Google Scholar 

  8. Pelánek, R.: BEEM: Benchmarks for explicit model checkers. In: Bošnački, D., Edelkamp, S. (eds.) SPIN 2007. LNCS, vol. 4595, pp. 263–267. Springer, Heidelberg (2007), http://anna.fi.muni.cz/models/

    Chapter  Google Scholar 

  9. Peled, D.: Combining partial order reductions with on-the-fly model-checking. In: Dill, D.L. (ed.) CAV 1994. LNCS, vol. 818, pp. 377–390. Springer, Heidelberg (1994)

    Google Scholar 

  10. Peled, D., Valmari, A., Kokkarinen, I.: Relaxed visibility enhances partial order reduction. Formal Methods in System Design 19(3), 275–289 (2001)

    Article  MATH  Google Scholar 

  11. Peled, D.A.: All from one, one for all: on model checking using representatives. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 409–423. Springer, Heidelberg (1993)

    Google Scholar 

  12. Valmari, A.: A stubborn attack on state explosion. Formal Methods in System Design 1(1), 297–322 (1992)

    Article  MATH  Google Scholar 

  13. Varpaaniemi, K.: On the Stubborn Set Method in Reduced State Space Generation. PhD thesis, Digital Systems Laboratory, Helsinki University of Technology (May 1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Geldenhuys, J., Hansen, H., Valmari, A. (2009). Exploring the Scope for Partial Order Reduction. In: Liu, Z., Ravn, A.P. (eds) Automated Technology for Verification and Analysis. ATVA 2009. Lecture Notes in Computer Science, vol 5799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04761-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04761-9_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04760-2

  • Online ISBN: 978-3-642-04761-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics