Skip to main content
SpringerLink
Log in
Book cover

International Workshop on Automated Verification of Critical Systems

International Workshop on Formal Methods for Industrial Critical Systems

AVoCS 2017, FMICS 2017: Critical Systems: Formal Methods and Automated Verification pp 34–48Cite as

Query Checking for Linear Temporal Logic

Part of the Lecture Notes in Computer Science book series (LNPSE,volume 10471)

Abstract

The query-checking problem for temporal logic may be formulated as follows. Given a Kripke structure M and a temporal-logic query of form \(\phi \left[ {\texttt {var}}\right] \), which may be thought of as a temporal formula with a missing propositional subformula \({\texttt {var}}\), find the most precise propositional formula f that, when substituted for \({\texttt {var}}\) in \(\phi \left[ {\texttt {var}}\right] \), ensures M satisfies the resulting temporal property. Query checking has been used for system comprehension, specification reconstruction, and other related applications in the formal analysis of systems.

In this paper we present an automaton-based methodology for query checking over linear temporal logic (LTL). While this problem is known to be hard in the general case, we show that by exploiting several key observations about the interplay between the input model M and the query \(\phi \left[ {\texttt {var}}\right] \), we can produce results for many problems of interest. In support of this claim, we report on preliminary experimental data for an implementation of our technique.

This is a preview of subscription content, access via your institution.

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 EPUB and 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

References

  1. Ackermann, C., Cleaveland, R., Huang, S., Ray, A., Shelton, C., Latronico, E.: Automatic requirement extraction from test cases. In: Barringer, H., et al. (eds.) RV 2010. LNCS, vol. 6418, pp. 1–15. Springer, Heidelberg (2010). doi:10.1007/978-3-642-16612-9_1

    CrossRef  Google Scholar 

  2. Armoni, R., et al.: The ForSpec temporal logic: a new temporal property-specification language. In: Katoen, J.-P., Stevens, P. (eds.) TACAS 2002. LNCS, vol. 2280, pp. 296–311. Springer, Heidelberg (2002). doi:10.1007/3-540-46002-0_21

    CrossRef  Google Scholar 

  3. Babiak, T., Křetínský, M., Řehák, V., Strejček, J.: LTL to Büchi automata translation: fast and more deterministic. In: Flanagan, C., König, B. (eds.) TACAS 2012. LNCS, vol. 7214, pp. 95–109. Springer, Heidelberg (2012). doi:10.1007/978-3-642-28756-5_8

    CrossRef  Google Scholar 

  4. Baier, C., Katoen, J.-P.: Principles of Model Checking. MIT Press, Cambridge (2008)

    MATH  Google Scholar 

  5. Bruns, G., Godefroid, P.: Temporal logic query checking. In: 16th Annual IEEE Symposium on Logic in Computer Science, pp. 409–417. IEEE, June 2001

    Google Scholar 

  6. Chan, W.: Temporal-logic queries. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 450–463. Springer, Heidelberg (2000). doi:10.1007/10722167_34

    CrossRef  Google Scholar 

  7. Chockler, H., Gurfinkel, A., Strichman, O.: Variants of LTL Query Checking. In: Barner, S., Harris, I., Kroening, D., Raz, O. (eds.) HVC 2010. LNCS, vol. 6504, pp. 76–92. Springer, Heidelberg (2011). doi:10.1007/978-3-642-19583-9_11

    CrossRef  Google Scholar 

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

    Google Scholar 

  9. Emerson, E.A.: Temporal and modal logic. In: van Leeuwen, J. (ed.) Handbook of Theoretical Computer Science, vol. B, pp. 995–1072. MIT Press (1990)

    Google Scholar 

  10. Emerson, E.A., Halpern, J.Y.: “Sometimes” and “not never” revisited: On branching versus linear time temporal logic. JACM 33(1), 151–178 (1986)

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. Ernst, M.D., Perkins, J.H., Guo, P.J., McCamant, S., Pacheco, C., Tschantz, M.S., Xiao, C.: The Daikon system for dynamic detection of likely invariants. Sci. Comput. Program. 69(1–3), 35–45 (2007)

    CrossRef  MATH  MathSciNet  Google Scholar 

  12. Etessami, K., Holzmann, G.J.: Optimizing Büchi automata. In: Palamidessi, C. (ed.) CONCUR 2000. LNCS, vol. 1877, pp. 153–168. Springer, Heidelberg (2000). doi:10.1007/3-540-44618-4_13

    CrossRef  Google Scholar 

  13. Gastin, P., Oddoux, D.: Fast LTL to Büchi automata translation. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, pp. 53–65. Springer, Heidelberg (2001). doi:10.1007/3-540-44585-4_6

    CrossRef  Google Scholar 

  14. Giannakopoulou, D., Lerda, F.: From states to transitions: improving translation of LTL formulae to Büchi automata. In: Peled, D.A., Vardi, M.Y. (eds.) FORTE 2002. LNCS, vol. 2529, pp. 308–326. Springer, Heidelberg (2002). doi:10.1007/3-540-36135-9_20

    CrossRef  Google Scholar 

  15. Gurfinkel, A., Chechik, M., Devereux, B.: Temporal logic query checking: a tool for model exploration. IEEE Trans. Soft. Eng. 29(10), 898–914 (2003)

    CrossRef  Google Scholar 

  16. Lemieux, C., Park, D., Beschastnikh, I.: General LTL specification mining. In: 30th IEEE/ACM International Conference on Automated Software Engineering, pp. 81–92. IEEE, Lincoln, November 2015

    Google Scholar 

  17. Li, W., Forin, A., Seshia, S.A.: Scalable specification mining for verification and diagnosis. In: 47th Design Automation Conference, pp. 755–760. ACM, Anaheim, June 2010

    Google Scholar 

  18. Shoham, S., Yahav, E., Fink, S.J., Pistoia, M.: Static specification mining using automata-based abstractions. IEEE Trans. Soft. Eng. 34(5), 651–666 (2008)

    CrossRef  Google Scholar 

  19. Vardi, M.Y., Wolper, P.: An automata-theoretic approach to automatic program verification. In: First Symposium on Logic in Computer Science, pp. 322–331. IEEE Computer Society, Boston, June 1986

    Google Scholar 

  20. Winter, K.: Model checking for abstract state machines. J. Univ. Comput. Sci. 3(5), 689–701 (1997)

    MATH  Google Scholar 

  21. Zhang, D., Cleaveland, R.: Efficient temporal-logic query checking for Presburger systems. In: 20th IEEE/ACM International Conference on Automated Software Engineering, pp. 24–33. ACM, Long Beach, November 2005

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Maryland, College Park, USA

    Samuel Huang & Rance Cleaveland

Authors
  1. Samuel Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rance Cleaveland
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rance Cleaveland .

Editor information

Editors and Affiliations

  1. Paris 13 University, Villetaneuse, France

    Prof. Laure Petrucci

  2. Mälardalen University, Västerås, Sweden

    Cristina Seceleanu

  3. University of York, York, United Kingdom

    Ana Cavalcanti

Rights and permissions

Reprints and Permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Huang, S., Cleaveland, R. (2017). Query Checking for Linear Temporal Logic. In: Petrucci, L., Seceleanu, C., Cavalcanti, A. (eds) Critical Systems: Formal Methods and Automated Verification. AVoCS FMICS 2017 2017. Lecture Notes in Computer Science(), vol 10471. Springer, Cham. https://doi.org/10.1007/978-3-319-67113-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67113-0_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67112-3

  • Online ISBN: 978-3-319-67113-0

  • eBook Packages: Computer ScienceComputer Science (R0)

search

Navigation