Skip to main content

Model Checking EGF on Basic Parallel Processes

  • Conference paper
  • 1132 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6996))

Abstract

In this paper we study the problem of model checking the logic EGF over Basic Parallel Processes (BPP). The logic EGF is obtained by extending the logic EF with the CTL* notation EGF, which means that there exists an infinite path on which there are infinitely many entries satisfying certain property. We prove that this problem is PSPACE-complete, and \(\Sigma_d^p\)-complete for certain classes of fixed formula with the nesting depth d of modal operators.

Supported by a CSC scholarship.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abdulla, P.A., Jonsson, B., Nilsson, M., Saksena, M.: A survey of regular model checking. In: Gardner, P., Yoshida, N. (eds.) CONCUR 2004. LNCS, vol. 3170, pp. 35–48. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Burkart, O., Caucal, D., Moller, F., Steffen, B.: Verification on infinite structures. In: Bergsta, J., Ponse, A., Smolka, S. (eds.) Handbook of Process Algebra, ch. 9, pp. 545–623. Elsevier Science, The Netherlands (2001)

    Chapter  Google Scholar 

  3. Christensen, S.: Decidability and Decomposition in Process Algebras. Ph.D. thesis, The University of Edinburgh, Department of Computer Science, ECS-LFCS-93-278, Edinburgh, UK (1993)

    Google Scholar 

  4. Esparza, J.: Decidability of model checking for infinite-state concurrent systems. Acta Inf. 34(2), 85–107 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Esparza, J.: Petri nets, commutative context-free grammars, and basic parallel processes. Fundam. Inform. 31(1), 13–25 (1997)

    MathSciNet  MATH  Google Scholar 

  6. Hopcroft, J., Ullman, J.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)

    MATH  Google Scholar 

  7. Mayr, R.: Weak bisimulation and model checking for basic parallel processes. In: Chandru, V., Vinay, V. (eds.) FSTTCS 1996. LNCS, vol. 1180, pp. 88–99. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  8. Strehl, K., Thiele, L.: Interval diagram techniques for symbolic model checking of petri nets. In: DATE, pp. 756–757 (1999)

    Google Scholar 

  9. To, A.W., Libkin, L.: Recurrent reachability analysis in regular model checking. In: Cervesato, I., Veith, H., Voronkov, A. (eds.) LPAR 2008. LNCS (LNAI), vol. 5330, pp. 198–213. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fu, H. (2011). Model Checking EGF on Basic Parallel Processes. In: Bultan, T., Hsiung, PA. (eds) Automated Technology for Verification and Analysis. ATVA 2011. Lecture Notes in Computer Science, vol 6996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24372-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24372-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24371-4

  • Online ISBN: 978-3-642-24372-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics