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Monitorability of Expressive Verdicts

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NASA Formal Methods (NFM 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13260))

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Abstract

Online runtime verification is a formal dynamic technique that studies how to monitor formal specifications incrementally against an input trace. Often, an observed prefix of a behavior is not enough to emit a definite verdict and the monitor must wait to receive more information. Monitorability classifies the set of properties depending on the feasibility to obtain a verdict after a finite observation. Havelund and Peled [20] classified LTL properties according to whether an observation can be extended to a definite answer.

In this paper we present a framework that extends the classification of Havelund and Peled to verdict domains that are richer than Booleans, obtaining a monitorability setting under which some of the verdicts (but not others) can be discarded after a sequence of observations. We study two instances of this setting, quantitative temporal logics and partially ordered domains for stream runtime verification, and we illustrate using examples the different elements of the taxonomy. Finally, we also consider how assumptions on the set of behaviors can improve monitorability, and how imprecise observations can impair monitorability.

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References

  1. Almagor, S., Boker, U., Kupferman, O.: Discounting in LTL. In: Ábrahám, E., Havelund, K. (eds.) TACAS 2014. LNCS, vol. 8413, pp. 424–439. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54862-8_37

    Chapter  Google Scholar 

  2. Asarin, E., Caspi, P., Maler, O.: Timed regular expressions. J. ACM 49(2), 172–206 (2002)

    Article  MathSciNet  Google Scholar 

  3. Barringer, H., Goldberg, A., Havelund, K., Sen, K.: Rule-based runtime verification. In: Steffen, B., Levi, G. (eds.) VMCAI 2004. LNCS, vol. 2937, pp. 44–57. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24622-0_5

    Chapter  MATH  Google Scholar 

  4. Bartocci, E., Falcone, Y. (eds.): Lectures on Runtime Verification. LNCS, vol. 10457. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-75632-5

    Book  Google Scholar 

  5. Basin, D.A., Klaedtke, F., Müller, S., Zalinescu, E.: Monitoring metric first-order temporal properties. J. ACM 62(2), 1–45 (2015)

    Article  MathSciNet  Google Scholar 

  6. Bauer, A., Leucker, M., Schallhart, C.: Runtime verification for LTL and TLTL. ACM Trans. Softw. Eng. Methodol. 20(4), 14 (2011)

    Article  Google Scholar 

  7. Bauer, A., Leucker, M., Schallhart, C.: The good, the bad, and the ugly, but how ugly is ugly? In: Sokolsky, O., Taşıran, S. (eds.) RV 2007. LNCS, vol. 4839, pp. 126–138. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-77395-5_11

    Chapter  MATH  Google Scholar 

  8. Chang, E., Manna, Z., Pnueli, A.: Characterization of temporal property classes. In: Kuich, W. (ed.) ICALP 1992. LNCS, vol. 623, pp. 474–486. Springer, Heidelberg (1992). https://doi.org/10.1007/3-540-55719-9_97

    Chapter  Google Scholar 

  9. Colombo, C., Pace, G.J., Schneider, G.: Dynamic event-based runtime monitoring of real-time and contextual properties. In: Cofer, D., Fantechi, A. (eds.) FMICS 2008. LNCS, vol. 5596, pp. 135–149. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-03240-0_13

    Chapter  Google Scholar 

  10. 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 

  11. D’Angelo, B., et al.: LOLA: runtime monitoring of synchronous systems. In: Proceedings of the 12th International Symposium of Temporal Representation and Reasoning (TIME 2005), pp. 166–174. IEEE CS Press (2005)

    Google Scholar 

  12. De Giacomo, G., Vardi, M.Y.: Linear temporal logic and linear dynamic logic on finite traces. In: Proceedings of the 23rd International Joint Conference on Artificial Intelligence (IJCAI 2014), pp. 854–860. AAAI Press (2013)

    Google Scholar 

  13. Eisner, C., Fisman, D., Havlicek, J., Lustig, Y., McIsaac, A., Van Campenhout, D.: Reasoning with temporal logic on truncated paths. In: Hunt, W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 27–39. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-45069-6_3

    Chapter  Google Scholar 

  14. Emerson, E.A., Clarke, E.M.: Characterizing correctness properties of parallel programs using fixpoints. In: de Bakker, J., van Leeuwen, J. (eds.) ICALP 1980. LNCS, vol. 85, pp. 169–181. Springer, Heidelberg (1980). https://doi.org/10.1007/3-540-10003-2_69

    Chapter  Google Scholar 

  15. Faella, M., Legay, A., Stoelinga, M.: Model checking quantitative linear time logic. Electron. Notes Theoret. Comput. Sci. 220(3), 61–77 (2008). Proceedings of the Sixth Workshop on Quantitative Aspects of Programming Languages (QAPL 2008)

    Google Scholar 

  16. Faymonville, P., Finkbeiner, B., Schirmer, S., Torfah, H.: A stream-based specification language for network monitoring. In: Falcone, Y., Sánchez, C. (eds.) RV 2016. LNCS, vol. 10012, pp. 152–168. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46982-9_10

    Chapter  Google Scholar 

  17. Gorostiaga, F., Danielsson, L.M., Sánchez, C.: Unifying the time-event spectrum for stream runtime verification. In: Deshmukh, J., Ničković, D. (eds.) RV 2020. LNCS, vol. 12399, pp. 462–481. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-60508-7_26

    Chapter  Google Scholar 

  18. 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 

  19. Havelund, K., Goldberg, A.: Verify your runs. In: Meyer, B., Woodcock, J. (eds.) VSTTE 2005. LNCS, vol. 4171, pp. 374–383. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-69149-5_40

    Chapter  Google Scholar 

  20. Havelund, K., Peled, D.: Runtime verification: from propositional to first-order temporal logic. In: Colombo, C., Leucker, M. (eds.) RV 2018. LNCS, vol. 11237, pp. 90–112. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03769-7_7

    Chapter  Google Scholar 

  21. Havelund, K., Roşu, G.: Synthesizing monitors for safety properties. In: Katoen, J.-P., Stevens, P. (eds.) TACAS 2002. LNCS, vol. 2280, pp. 342–356. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-46002-0_24

    Chapter  MATH  Google Scholar 

  22. Henzinger, T.A., Saraç, N.E.: Monitorability under assumptions. In: Deshmukh, J., Ničković, D. (eds.) RV 2020. LNCS, vol. 12399, pp. 3–18. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-60508-7_1

    Chapter  Google Scholar 

  23. Kauffman, S., Havelund, K., Fischmeister, S.: What can we monitor over unreliable channels? Int. J. Softw. Tools Technol. Transf. 23(4), 579–600 (2021). https://doi.org/10.1007/s10009-021-00625-z

    Article  Google Scholar 

  24. Laroussinie, F., Meyer, A., Petonnet, E.: Counting LTL. In: Proceedings of the 2010 17th International Symposium on Temporal Representation and Reasoning (TIME 2010), pp. 51–58. IEEE (2010)

    Google Scholar 

  25. Leucker, M., Sánchez, C., Scheffel, T., Schmitz, M., Thoma, D.: Runtime verification for timed event streams with partial information. In: Finkbeiner, B., Mariani, L. (eds.) RV 2019. LNCS, vol. 11757, pp. 273–291. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-32079-9_16

    Chapter  Google Scholar 

  26. Leucker, M., Schallhart, C.: A brief account of runtime verification. J. Logic Algebr. Program. 78(5), 293–303 (2009)

    Article  Google Scholar 

  27. Pnueli, A., Zaks, A.: PSL model checking and run-time verification via testers. In: Misra, J., Nipkow, T., Sekerinski, E. (eds.) FM 2006. LNCS, vol. 4085, pp. 573–586. Springer, Heidelberg (2006). https://doi.org/10.1007/11813040_38

    Chapter  Google Scholar 

  28. Queille, J.P., Sifakis, J.: Specification and verification of concurrent systems in CESAR. In: Dezani-Ciancaglini, M., Montanari, U. (eds.) Programming 1982. LNCS, vol. 137, pp. 337–351. Springer, Heidelberg (1982). https://doi.org/10.1007/3-540-11494-7_22

    Chapter  Google Scholar 

  29. Reinbacher, T., Rozier, K.Y., Schumann, J.: Temporal-logic based runtime observer pairs for system health management of real-time systems. In: Ábrahám, E., Havelund, K. (eds.) TACAS 2014. LNCS, vol. 8413, pp. 357–372. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54862-8_24

    Chapter  Google Scholar 

  30. Roşu, G., Havelund, K.: Rewriting-based techniques for runtime verification. Autom. Softw. Eng. 12(2), 151–197 (2005)

    Article  Google Scholar 

  31. 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 

  32. Sen, K., Roşu, G.: Generating optimal monitors for extended regular expressions. ENTCS 89(2), 226–245 (2003)

    Google Scholar 

  33. Stucki, S., Sánchez, C., Schneider, G., Bonakdarpour, B.: Gray-box monitoring of hyperproperties. In: ter Beek, M.H., McIver, A., Oliveira, J.N. (eds.) FM 2019. LNCS, vol. 11800, pp. 406–424. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-30942-8_25

    Chapter  Google Scholar 

  34. Stucki, S., Sánchez, C., Schneider, G., Bonakdarpour, B.: Gray-box monitoring of hyperproperties with an application to privacy. Form. Methods Syst. Des. 58, 1–34 (2021). https://doi.org/10.1007/s10703-020-00358-w

    Article  MATH  Google Scholar 

  35. Tabuada, P., Neider, D.: Robust linear temporal logic. In: Proceedings of the 25th EACSL Annual Conference on Computer Science Logic (CSL 2016), vol. 62 of LIPIcs, pp. 10:1–10:21. Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)

    Google Scholar 

  36. Zhang, X., Leucker, M., Dong, W.: Runtime verification with predictive semantics. In: Goodloe, A.E., Person, S. (eds.) NFM 2012. LNCS, vol. 7226, pp. 418–432. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-28891-3_37

    Chapter  Google Scholar 

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Correspondence to César Sánchez .

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Gorostiaga, F., Sánchez, C. (2022). Monitorability of Expressive Verdicts. In: Deshmukh, J.V., Havelund, K., Perez, I. (eds) NASA Formal Methods. NFM 2022. Lecture Notes in Computer Science, vol 13260. Springer, Cham. https://doi.org/10.1007/978-3-031-06773-0_37

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  • DOI: https://doi.org/10.1007/978-3-031-06773-0_37

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