Adjacent Ordered Multi-Pushdown Systems | SpringerLink
Skip to main content
Springer Nature Link
Log in

Adjacent Ordered Multi-Pushdown Systems

  • Conference paper
Developments in Language Theory (DLT 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7907))

Included in the following conference series:

  • 796 Accesses

Abstract

Multi-pushdown systems are formal models of multi-threaded programs. As they are Turing powerful in their full generality, several decidable subclasses, constituting under-approximations of the original system, have been studied in the recent years. Ordered Multi-Pushdown Systems (OMPDSs) impose an order on the stacks and limit pop actions to the lowest non-empty stack. The control state reachability for OMPDSs is 2-Etime-Complete. We propose a restriction on OMPDSs, called Adjacent OMPDSs (AOMPDS), where values may be pushed only on the lowest non-empty stack or one of its two neighbours. We describe Exptime decision procedures for reachability and LTL model-checking, establish matching lower bounds and describe two applications of this model.

Partially supported by the Swedish Research Council within UPMARC, CNRS LIA InForMel. The last author was partially funded by Tata Consultancy Services.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • 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.

Similar content being viewed by others

References

  1. Atig, M.F.: Global model checking of ordered multi-pushdown systems. In: FSTTCS. LIPIcs, vol. 8, pp. 216–227. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2010)

    Google Scholar 

  2. Atig, M.F., Bollig, B., Habermehl, P.: Emptiness of multi-pushdown automata is 2ETIME-complete. In: Ito, M., Toyama, M. (eds.) DLT 2008. LNCS, vol. 5257, pp. 121–133. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  3. Atig, M.F., Bouajjani, A., Emmi, M., Lal, A.: Detecting fair non-termination in multithreaded programs. In: Madhusudan, P., Seshia, S.A. (eds.) CAV 2012. LNCS, vol. 7358, pp. 210–226. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  4. Atig, M.F., Bouajjani, A., Narayan Kumar, K., Saivasan, P.: Linear-time model-checking for multithreaded programs under scope-bounding. In: Chakraborty, S., Mukund, M. (eds.) ATVA 2012. LNCS, vol. 7561, pp. 152–166. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  5. Bollig, B., Cyriac, A., Gastin, P., Zeitoun, M.: Temporal logics for concurrent recursive programs: Satisfiability and model checking. In: Murlak, F., Sankowski, P. (eds.) MFCS 2011. LNCS, vol. 6907, pp. 132–144. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Bouajjani, A., Esparza, J., Schwoon, S., Strejček, J.: Reachability analysis of multithreaded software with asynchronous communication. In: Ramanujam, R., Sen, S. (eds.) FSTTCS 2005. LNCS, vol. 3821, pp. 348–359. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Bouajjani, A., Fratani, S., Qadeer, S.: Context-bounded analysis of multithreaded programs with dynamic linked structures. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 207–220. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  8. Breveglieri, L., Cherubini, A., Citrini, C., Crespi-Reghizzi, S.: Multi-push-down languages and grammars. Int. J. Found. Comput. Sci. 7(3), 253–292 (1996)

    Article  MATH  Google Scholar 

  9. Cyriac, A., Gastin, P., Kumar, K.N.: MSO decidability of multi-pushdown systems via split-width. In: Koutny, M., Ulidowski, I. (eds.) CONCUR 2012. LNCS, vol. 7454, pp. 547–561. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  10. Heußner, A., Leroux, J., Muscholl, A., Sutre, G.: Reachability analysis of communicating pushdown systems. In: Ong, L. (ed.) FOSSACS 2010. LNCS, vol. 6014, pp. 267–281. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Lal, A., Reps, T.W.: Reducing concurrent analysis under a context bound to sequential analysis. FMSD 35(1), 73–97 (2009)

    MATH  Google Scholar 

  12. Lal, A., Touili, T., Kidd, N., Reps, T.W.: Interprocedural analysis of concurrent programs under a context bound. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 282–298. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Madhusudan, P., Parlato, G.: The tree width of auxiliary storage. In: POPL, pp. 283–294. ACM (2011)

    Google Scholar 

  14. Pnueli, A.: The temporal logic of programs. In: FOCS, pp. 46–57. IEEE (1977)

    Google Scholar 

  15. Qadeer, S., Rehof, J.: Context-bounded model checking of concurrent software. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 93–107. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  16. Seth, A.: Global reachability in bounded phase multi-stack pushdown systems. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol. 6174, pp. 615–628. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  17. La Torre, S., Madhusudan, P., Parlato, G.: A robust class of context-sensitive languages. In: LICS, pp. 161–170. IEEE Computer Society (2007)

    Google Scholar 

  18. La Torre, S., Madhusudan, P., Parlato, G.: Context-bounded analysis of concurrent queue systems. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 299–314. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  19. La Torre, S., Madhusudan, P., Parlato, G.: An infinite automaton characterization of double exponential time. In: Kaminski, M., Martini, S. (eds.) CSL 2008. LNCS, vol. 5213, pp. 33–48. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  20. La Torre, S., Madhusudan, P., Parlato, G.: Reducing context-bounded concurrent reachability to sequential reachability. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 477–492. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. La Torre, S., Napoli, M.: Reachability of multistack pushdown systems with scope-bounded matching relations. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 203–218. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. La Torre, S., Napoli, M.: A temporal logic for multi-threaded programs. In: Baeten, J.C.M., Ball, T., de Boer, F.S. (eds.) TCS 2012. LNCS, vol. 7604, pp. 225–239. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  23. Vardi, M.Y.: A temporal fixpoint calculus. In: POPL, pp. 250–259 (1988)

    Google Scholar 

  24. Vardi, M.Y., Wolper, P.: An automata-theoretic approach to automatic program verification (preliminary report). In: LICS, pp. 332–344. IEEE Computer Society (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Uppsala University, Sweden

    Mohamed Faouzi Atig

  2. Chennai Mathematical Institute, India

    K. Narayan Kumar & Prakash Saivasan

Authors
  1. Mohamed Faouzi Atig
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Narayan Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Prakash Saivasan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. LIGM, University Paris-Est Marne-la-Vallée, 5 Bd Descartes, Champs-sur-Marne, 77454, Marne-la-Vallée Cedex 2, France

    Marie-Pierre Béal

  2. LIAFA, UMR 7089, University Paris Diderot, 75205, Paris cedex 13, France

    Olivier Carton

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Atig, M.F., Narayan Kumar, K., Saivasan, P. (2013). Adjacent Ordered Multi-Pushdown Systems. In: Béal, MP., Carton, O. (eds) Developments in Language Theory. DLT 2013. Lecture Notes in Computer Science, vol 7907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38771-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38771-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38770-8

  • Online ISBN: 978-3-642-38771-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation