In this paper we introduce a variant of temporal logic tailored for specifying desired properties of continuous signals. The logic is based on a bounded subset of the real-time logic mitl, augmented with a static mapping from continuous domains into propositions. From formulae in this logic we create automatically property monitors that can check whether a given signal of bounded length and finite variability satisfies the property. A prototype implementation of this procedure was used to check properties of simulation traces generated by Matlab/Simulink.


Temporal Logic Temporal Property Parse Tree Continuous Signal Simulation Trace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [ABG+00]
    Abarbanel, Y., Beer, I., Glushovsky, L., Keidar, S., Wolfsthal, Y.: FoCs: Automatic Generation of Simulation Checkers from Formal Specifications. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 538–542. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  2. [AFH96]
    Alur, R., Feder, T., Henzinger, T.A.: The Benefits of Relaxing Punctuality. Journal of the ACM 43(1), 116–146 (1996)zbMATHMathSciNetCrossRefGoogle Scholar
  3. [AH92]
    Alur, R., Henzinger, T.A.: Logics and Models of Real-Time: A Survey. In: Huizing, C., de Bakker, J.W., Rozenberg, G., de Roever, W.-P. (eds.) REX 1991. LNCS, vol. 600, pp. 74–106. Springer, Heidelberg (1992)CrossRefGoogle Scholar
  4. [BBDE+02]
    Beer, I., Ben David, S., Eisner, C., Fisman, D., Gringauze, A., Rodeh, Y.: The Temporal Logic Sugar. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, p. 363. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  5. [BBF+01]
    Berard, B., Bidoit, M., Finkel, A., Laroussinie, F., Petit, A., Petrucci, L., Schnoebelen, P., McKenzie, P.: Systems and Software Verification: Model-Checking Techniques and Tools. Springer, Heidelberg (2001)zbMATHGoogle Scholar
  6. [BBKT04]
    Bensalem, S., Bozga, M., Krichen, M., Tripakis, S.: Testing Conformance of Real-time Applications with Automatic Generation of Observers. In: Proc. RV 2004 (2004) (to appear in ENTCS)Google Scholar
  7. [Ben02]
    Bendotti, P.: Steam Generator Water Level Control Problem. Technical report, CC project (2002)Google Scholar
  8. [CGP99]
    Clarke, E.M., Grumberg, O., Peled, D.A.: Model Checking. The MIT Press, Cambridge (1999)Google Scholar
  9. [Don03]
    Donzé, A.: Etude d’un Modèle de Contrôleur Hybride. Master’s thesis, INPG (2003)Google Scholar
  10. [Dru00]
    Drusinsky, D.: The Temporal Rover and the ATG Rover. In: Havelund, K., Penix, J., Visser, W. (eds.) SPIN 2000. LNCS, vol. 1885, pp. 323–330. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  11. [EFH+03]
    Eisner, C., Fisman, D., Havlicek, J., Lustig, Y., McIsaac, A., Van Campenhout, D.: Reasoning with Temporal Logic on Truncated Paths. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 27–39. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  12. [GD00]
    Geilen, M.C.W., Dams, D.R.: An On-the-fly Tableau Construction for a Realtime Temporal Logic. In: Joseph, M. (ed.) FTRTFT 2000. LNCS, vol. 1926, pp. 276–290. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  13. [Gei02]
    Geilen, M.C.W.: Formal Techniques for Verification of Complex Real-time Systems. PhD thesis, Eindhoven University of Technology (2002)Google Scholar
  14. [Gei03]
    Geilen, M.C.W.: An Improved On-the-fly Tableau Construction for a Real-time Temporal Logic. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 394–406. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  15. [Hen98]
    Henzinger, T.A.: It’s about Time: Real-time Logics Reviewed. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 439–454. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  16. [HR01]
    Havelund, K., Rosu, G.: Java PathExplorer - a Runtime Verification Tool. In: Proc. ISAIRAS 2001 (2001)Google Scholar
  17. [HR02a]
    Havelund, K., Rosu, G. (eds.): Runtime Verification RV 2002. ENTCS, vol. 70(4) (2002)Google Scholar
  18. [HR02b]
    Havelund, K., Rosu, G.: Synthesizing Monitors for Safety Properties. In: Katoen, J.-P., Stevens, P. (eds.) TACAS 2002. LNCS, vol. 2280, pp. 342–356. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  19. [KLS+02]
    Kim, M., Lee, I., Sammapun, U., Shin, J., Sokolsky, O.: Monitoring, Checking, and Steering of Real-time Systems. In: Proc. RV 2002. ENTCS, vol. 70(4) (2002)Google Scholar
  20. [KPA03]
    Kristoffersen, K.J., Pedersen, C., Andersen, H.R.: Runtime Verification of Timed LTL using Disjunctive Normalized Equation Systems. In: Proc. RV 2003. ENTCS, vol. 89(2) (2003)Google Scholar
  21. [KT04]
    Krichen, M., Tripakis, S.: Black-box Conformance Testing for Real-time Systems. In: Graf, S., Mounier, L. (eds.) SPIN 2004. LNCS, vol. 2989, pp. 109–126. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  22. [Kur94]
    Kurshan, R.: Computer-aided Verification of Coordinating Processes: The Automata-theoretic Approach. Princeton University Press, Princeton (1994)Google Scholar
  23. [Mos99]
    Mosterman, P.J.: An Overview of Hybrid Simulation Phenomena and their Support by Simulation Packages. In: Vaandrager, F.W., van Schuppen, J.H. (eds.) HSCC 1999. LNCS, vol. 1569, pp. 165–177. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  24. [MP95]
    Manna, Z., Pnueli, A.: Temporal Verification of Reactive Systems: Safety. Springer, Heidelberg (1995)Google Scholar
  25. [MP04]
    Maler, O., Pnueli, A.: On Recognizable Timed Languages. In: Walukiewicz, I. (ed.) FOSSACS 2004. LNCS, vol. 2987, pp. 348–362. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  26. [Pnu03]
    Pnueli, A.: Verification of Reactive Systems. Lecture Notes, NYU (2003),
  27. [SV03]
    Sokolsky, O., Viswanathan, M. (eds.): Runtime Verification RV 2003. ENTCS, vol. 89(2) (2003)Google Scholar
  28. [TR04]
    Thati, P., Rosu, G.: Monitoring Algorithms for Metric Temporal Logic Specifications. In: Proc. of RV 2004 (2004)Google Scholar
  29. [Tri02]
    Tripakis, S.: Fault Diagnosis for Timed Automata. In: Damm, W., Olderog, E.-R. (eds.) FTRTFT 2002. LNCS, vol. 2469, pp. 205–224. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  30. [VW86]
    Vardi, M.Y., Wolper, P.: An Automata-theoretic Approach to Automatic Program Verification. In: Proc. LICS 1986, pp. 322–331. IEEE, Los Alamitos (1986)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Oded Maler
    • 1
  • Dejan Nickovic
    • 1
  1. 1.VERIMAGGièresFrance

Personalised recommendations