Skip to main content

Contextual Merged Processes

  • Conference paper
Application and Theory of Petri Nets and Concurrency (PETRI NETS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7927))

Abstract

We integrate two compact data structures for representing state spaces of Petri nets: merged processes and contextual prefixes. The resulting data structure, called contextual merged processes (CMP), combines the advantages of the original ones and copes with several important sources of state space explosion: concurrency, sequences of choices, and concurrent read accesses to shared resources. In particular, we demonstrate on a number of benchmarks that CMPs are more compact than either of the original data structures. Moreover, we sketch a polynomial (in the CMP size) encoding into SAT of the model-checking problem for reachability properties.

This research was supported by the Epsrc grant EP/K001698/1 (Uncover).

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. Baldan, P., Bruni, A., Corradini, A., König, B., Rodríguez, C., Schwoon, S.: Efficient unfolding of contextual Petri nets. Theo. Comp. Sci. 449, 2–22 (2012)

    Article  MATH  Google Scholar 

  2. Baldan, P., Corradini, A., König, B., Schwoon, S.: McMillan’s complete prefix for contextual nets. In: Jensen, K., van der Aalst, W.M.P., Billington, J. (eds.) ToPNoC I, LNCS, vol. 5100, pp. 199–220. Springer, Heidelberg (2008)

    Google Scholar 

  3. Baldan, P., Corradini, A., Montanari, U.: Contextual Petri nets, asymmetric event structures, and processes. Inf. Comput. 171(1), 1–49 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  4. Corbett, J.C.: Evaluating deadlock detection methods for concurrent software. IEEE Transactions on Software Engineering 22, 161–180 (1996)

    Article  Google Scholar 

  5. Dijkstra, E.W.: Solution of a problem in concurrent programming control. Commun. ACM 8(9), 569 (1965)

    Article  Google Scholar 

  6. Esparza, J., Römer, S., Vogler, W.: An improvement of McMillan’s unfolding algorithm. Formal Methods in System Design 20, 285–310 (2002)

    Article  MATH  Google Scholar 

  7. Heljanko, K.: Deadlock and reachability checking with finite complete prefixes. Licentiate’s thesis, Helsinki University of Technology (1999)

    Google Scholar 

  8. Heljanko, K.: Minimizing finite complete prefixes. In: Proc. CS&P, pp. 83–95 (1999)

    Google Scholar 

  9. Janicki, R., Koutny, M.: Invariant semantics of nets with inhibitor arcs. In: Groote, J.F., Baeten, J.C.M. (eds.) CONCUR 1991. LNCS, vol. 527, pp. 317–331. Springer, Heidelberg (1991)

    Google Scholar 

  10. Kahlon, V.: Boundedness vs. unboundedness of lock chains: Characterizing decidability of CFL-reachability for threads communicating via locks. In: Proc. LICS, pp. 27–36 (2009)

    Google Scholar 

  11. Khomenko, V.: Model Checking Based on Prefixes of Petri Net Unfoldings. Ph.D. thesis, School of Computing Science, Newcastle University (2003)

    Google Scholar 

  12. Khomenko, V., Mokhov, A.: An algorithm for direct construction of complete merged processes. In: Kristensen, L.M., Petrucci, L. (eds.) PETRI NETS 2011. LNCS, vol. 6709, pp. 89–108. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  13. Khomenko, V.: Punf, http://homepages.cs.ncl.ac.uk/victor.khomenko/tools/punf/

  14. Khomenko, V., Kondratyev, A., Koutny, M., Vogler, W.: Merged processes – a new condensed representation of Petri net behaviour. Act. Inf. 43(5), 307–330 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  15. McMillan, K.L.: Using unfoldings to avoid the state explosion problem in the verification of asynchronous circuits. In: Probst, D.K., von Bochmann, G. (eds.) CAV 1992. LNCS, vol. 663, pp. 164–177. Springer, Heidelberg (1993)

    Chapter  Google Scholar 

  16. Montanari, U., Rossi, F.: Contextual occurrence nets and concurrent constraint programming. In: Ehrig, H., Schneider, H.-J. (eds.) Dagstuhl Seminar 1993. LNCS, vol. 776, pp. 280–295. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  17. Ranjan, D.P., Tang, D., Malik, S.: A comparative study of 2QBF algorithms. In: Proc. SAT (2004)

    Google Scholar 

  18. Ristori, G.: Modelling Systems with Shared Resources via Petri Nets. Ph.D. thesis, Department of Computer Science, University of Pisa (1994)

    Google Scholar 

  19. Rodríguez, C.: Cunf, http://www.lsv.ens-cachan.fr/~rodriguez/tools/cunf/

  20. Rodríguez, C., Schwoon, S.: Verification of Petri Nets with Read Arcs. In: Koutny, M., Ulidowski, I. (eds.) CONCUR 2012. LNCS, vol. 7454, pp. 471–485. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  21. Rodríguez, C., Schwoon, S., Baldan, P.: Efficient contextual unfolding. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 342–357. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. Rodríguez, C., Schwoon, S., Khomenko, V.: Contextual merged processes. Tech. Rep. LSV-13-06, LSV, ENS de Cachan (2013)

    Google Scholar 

  23. Valmari, A.: The state explosion problem. In: Reisig, W., Rozenberg, G. (eds.) APN 1998. LNCS, vol. 1491, pp. 429–528. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  24. Vogler, W., Semenov, A., Yakovlev, A.: Unfolding and finite prefix for nets with read arcs. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 501–516. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rodríguez, C., Schwoon, S., Khomenko, V. (2013). Contextual Merged Processes. In: Colom, JM., Desel, J. (eds) Application and Theory of Petri Nets and Concurrency. PETRI NETS 2013. Lecture Notes in Computer Science, vol 7927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38697-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38697-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38696-1

  • Online ISBN: 978-3-642-38697-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics