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Multi-head Monitoring of Metric Dynamic Logic

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Automated Technology for Verification and Analysis (ATVA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12302))

Abstract

We develop a monitoring algorithm for metric dynamic logic, an extension of metric temporal logic with regular expressions. The monitor computes whether a given formula is satisfied at every position in an input trace of time-stamped events. Our monitor follows the multi-head paradigm: it reads the input simultaneously at multiple positions and moves its reading heads asynchronously. This mode of operation results in unprecedented space complexity guarantees for metric dynamic logic: The monitor’s memory consumption neither depends on the event-rate, i.e., the number of events within a fixed time-unit, nor on the numeric constants occurring in the quantitative temporal constraints in the given formula. We formally prove our algorithm correct in the Isabelle proof assistant, integrate it in the Hydra monitoring tool, and empirically demonstrate its strong performance.

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References

  1. Basin, D., Bhatt, B.N., Krstić, S., Traytel, D.: Almost event-rate independent monitoring. Form. Methods Syst. Des. 54(3), 449–478 (2019). https://doi.org/10.1007/s10703-018-00328-3

    Article  MATH  Google Scholar 

  2. Basin, D., Caronni, G., Ereth, S., Harvan, M., Klaedtke, F., Mantel, H.: Scalable offline monitoring of temporal specifications. Form. Methods Syst. Des. 49(1–2), 75–108 (2016)

    Article  Google Scholar 

  3. Basin, D., Harvan, M., Klaedtke, F., Zalinescu, E.: Monitoring data usage in distributed systems. IEEE Trans. Softw. Eng. 39(10), 1403–1426 (2013)

    Article  Google Scholar 

  4. Basin, D., Klaedtke, F., Müller, S., Zalinescu, E.: Monitoring metric first-order temporal properties. J. ACM 62(2), 15 (2015)

    Article  MathSciNet  Google Scholar 

  5. Basin, D., Klaedtke, F., Zălinescu, E.: Algorithms for monitoring real-time properties. In: Khurshid, S., Sen, K. (eds.) RV 2011. LNCS, vol. 7186, pp. 260–275. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-29860-8_20

    Chapter  MATH  Google Scholar 

  6. Basin, D., Klaedtke, F., Zalinescu, E.: The MonPoly monitoring tool. In: RV-CuBES 2017. Kalpa Publications in Computing, vol. 3, pp. 19–28. EasyChair (2017)

    Google Scholar 

  7. Basin, D., Krstic, S., Traytel, D.: AERIAL: almost event-rate independent algorithms for monitoring metric regular properties. In: RV-CuBES 2017. Kalpa Publications in Computing, vol. 3, pp. 29–36. EasyChair (2017)

    Google Scholar 

  8. Convent, L., Hungerecker, S., Leucker, M., Scheffel, T., Schmitz, M., Thoma, D.: TeSSLa: temporal stream-based specification language. In: Massoni, T., Mousavi, M.R. (eds.) SBMF 2018. LNCS, vol. 11254, pp. 144–162. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03044-5_10

    Chapter  Google Scholar 

  9. D’Angelo, B., et al.: LOLA: runtime monitoring of synchronous systems. In: TIME 2005, pp. 166–174. IEEE Computer Society (2005)

    Google Scholar 

  10. De Giacomo, G., Vardi, M.Y.: Linear temporal logic and linear dynamic logic on finite traces. In: IJCAI 2013, pp. 854–860. IJCAI/AAAI (2013)

    Google Scholar 

  11. Faymonville, P., et al.: StreamLAB: stream-based monitoring of cyber-physical systems. In: Dillig, I., Tasiran, S. (eds.) CAV 2019. LNCS, vol. 11561, pp. 421–431. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-25540-4_24

    Chapter  Google Scholar 

  12. Gorostiaga, F., Sánchez, C.: Striver: stream runtime verification for real-time event-streams. In: Colombo, C., Leucker, M. (eds.) RV 2018. LNCS, vol. 11237, pp. 282–298. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03769-7_16

    Chapter  Google Scholar 

  13. Havelund, K., Peled, D., Ulus, D.: First order temporal logic monitoring with BDDs. In: FMCAD 2017, pp. 116–123. IEEE (2017)

    Google Scholar 

  14. Havelund, K., Peled, D., Ulus, D.: DejaVu: a monitoring tool for first-order temporal logic. In: MT@CPSWeek 2018, pp. 12–13. IEEE (2018)

    Google Scholar 

  15. Havelund, K., Reger, G., Thoma, D., Zălinescu, E.: Monitoring events that carry data. In: Bartocci, E., Falcone, Y. (eds.) Lectures on Runtime Verification. LNCS, vol. 10457, pp. 61–102. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-75632-5_3

    Chapter  Google Scholar 

  16. Hazel, P.: PCRE - Perl compatible regular expressions. https://www.pcre.org/ (2018)

  17. Koymans, R.: Specifying real-time properties with metric temporal logic. Real-Time Syst. 2(4), 255–299 (1990)

    Article  Google Scholar 

  18. Mamouras, K., Raghothaman, M., Alur, R., Ives, Z.G., Khanna, S.: StreamQRE: modular specification and efficient evaluation of quantitative queries over streaming data. In: PLDI 2017, pp. 693–708. ACM (2017)

    Google Scholar 

  19. Moosbrugger, P., Rozier, K.Y., Schumann, J.: R2U2: monitoring and diagnosis of security threats for unmanned aerial systems. Form. Methods Syst. Des. 51(1), 31–61 (2017). https://doi.org/10.1007/s10703-017-0275-x

    Article  Google Scholar 

  20. Raszyk, M., Basin, D., Krstić, S., Traytel, D.: Multi-head monitoring of metric temporal logic. In: Chen, Y.-F., Cheng, C.-H., Esparza, J. (eds.) ATVA 2019. LNCS, vol. 11781, pp. 151–170. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-31784-3_9

    Chapter  Google Scholar 

  21. Raszyk, M., Basin, D., Traytel, D.: Formalization, implementation, and evaluation associated with this paper. https://bitbucket.org/krle/hydra/downloads/hydra-mdl.zip

  22. Raszyk, M., Basin, D., Traytel, D.: From nondeterministic to multi-head deterministic finite-state transducers. In: ICALP 2019, LIPIcs, vol. 132, pp. 127:1–127:14. Schloss Dagstuhl–Leibniz-Zentrum für Informatik (2019)

    Google Scholar 

  23. Raszyk, M., Basin, D., Traytel, D.: Multi-head monitoring of metric dynamic logic (extended report). https://bitbucket.org/krle/hydra/src/master/HYDRA_MDL.pdf (2020)

  24. Sánchez, C.: Online and offline stream runtime verification of synchronous systems. In: Colombo, C., Leucker, M. (eds.) RV 2018. LNCS, vol. 11237, pp. 138–163. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03769-7_9

    Chapter  MATH  Google Scholar 

  25. Ulus, D.: Online monitoring of metric temporal logic using sequential networks. CoRR abs/1901.00175. http://arxiv.org/abs/1901.00175 (2019)

  26. Ulus, D.: REELAY. https://github.com/doganulus/reelay-codegen (2019)

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Acknowledgment

This research is supported by the Swiss National Science Foundation grant “Big Data Monitoring” (167162). We thank the anonymous reviewers for detailed comments.

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Authors and Affiliations

  1. Institute of Information Security, Department of Computer Science, ETH Zürich, Zurich, Switzerland

    Martin Raszyk, David Basin & Dmitriy Traytel

Authors
  1. Martin Raszyk
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  2. David Basin
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  3. Dmitriy Traytel
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Corresponding author

Correspondence to Martin Raszyk .

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Editors and Affiliations

  1. Vietnam National University (VNU-UET), Hanoi, Vietnam

    Dang Van Hung

  2. University of Pennsylvania, Philadelphia, PA, USA

    Oleg Sokolsky

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Raszyk, M., Basin, D., Traytel, D. (2020). Multi-head Monitoring of Metric Dynamic Logic. In: Hung, D.V., Sokolsky, O. (eds) Automated Technology for Verification and Analysis. ATVA 2020. Lecture Notes in Computer Science(), vol 12302. Springer, Cham. https://doi.org/10.1007/978-3-030-59152-6_13

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  • DOI: https://doi.org/10.1007/978-3-030-59152-6_13

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  • Print ISBN: 978-3-030-59151-9

  • Online ISBN: 978-3-030-59152-6

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