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Lightweight Verification of Hyperproperties

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Automated Technology for Verification and Analysis (ATVA 2023)

Abstract

Hyperproperties have been widely used to express system properties like noninterference, observational determinism, conformance, robustness, etc. However, the model checking problem for hyperproperties is challenging due to its inherent complexity of verifying properties across sets of traces and suffers from scalability issues. Previously, statistical approaches have proven effective in tackling the scalability of model checking for temporal logic. In this work, we have attempted to combine these two concepts to propose a tractable solution to model checking of hyperproperties expressed as HyperLTL on models involving nondeterminism. We have implemented our approach in PLASMA and experimented with a range of case studies to showcase its effectiveness.

This project was partially funded by the United States NSF SaTC Awards 2245114 and 2100989, NSF Award CCF-2133160, FWF-project ZK-35, FNRS PDR - T013721, and by the Vienna Science and Technology Fund (WWTF) [10.47379/ICT19018].

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References

  1. PRISM: dining cryptographers’ problem. https://www.prismmodelchecker.org/casestudies/dining_crypt.php

  2. Ábrahám, E., Bonakdarpour, B.: HyperPCTL: a temporal logic for probabilistic hyperproperties. In: Proceedings of the 15th International Conference on Quantitative Evaluation of Systems (QEST), pp. 20–35 (2018)

    Google Scholar 

  3. Ábrahám, E., Bartocci, E., Bonakdarpour, B., Dobe, O.: Probabilistic hyperproperties with nondeterminism. In: Hung, D.V., Sokolsky, O. (eds.) ATVA 2020. LNCS, vol. 12302, pp. 518–534. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-59152-6_29

    Chapter  Google Scholar 

  4. Agha, G., Palmskog, K.: A survey of statistical model checking. ACM Trans. Model. Comput. Simul. 28(1), 1–39 (2018). https://doi.org/10.1145/3158668

    Article  MathSciNet  Google Scholar 

  5. Agrawal, S., Bonakdarpour, B.: Runtime verification of k-safety hyperproperties in HyperLTL. In: 2016 IEEE 29th Computer Security Foundations Symposium (CSF), pp. 239–252. IEEE, Lisbon (2016). https://doi.org/10.1109/CSF.2016.24

  6. Arora, S., Hansen, R.R., Larsen, K.G., Legay, A., Poulsen, D.B.: Statistical model checking for probabilistic hyperproperties of real-valued signals. In: Legunsen, O., Rosu, G. (eds.) Model Checking Software, SPIN 2022. Lecture Notes in Computer Science, vol. 13255, pp. 61–78. Springer, Cham (2022). https://doi.org/10.1007/978-3-031-15077-7_4

    Chapter  MATH  Google Scholar 

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

    MATH  Google Scholar 

  8. Baumeister, J., Coenen, N., Bonakdarpour, B., Finkbeiner, B., Sánchez, C.: A temporal logic for asynchronous hyperproperties. In: Silva, A., Leino, K.R.M. (eds.) CAV 2021. LNCS, vol. 12759, pp. 694–717. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-81685-8_33

    Chapter  Google Scholar 

  9. Beauxis, R., Palamidessi, C.: Probabilistic and nondeterministic aspects of anonymity. Theoret. Comput. Sci. 410(41), 4006–4025 (2009). https://doi.org/10.1016/j.tcs.2009.06.008

    Article  MathSciNet  MATH  Google Scholar 

  10. Bonakdarpour, B., Sanchez, C., Schneider, G.: Monitoring hyperproperties by combining static analysis and runtime verification. In: Margaria, T., Steffen, B. (eds.) ISoLA 2018. LNCS, vol. 11245, pp. 8–27. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03421-4_2

    Chapter  Google Scholar 

  11. Bonakdarpour, B., Finkbeiner, B.: The complexity of monitoring hyperproperties. In: 2018 IEEE 31st Computer Security Foundations Symposium (CSF), pp. 162–174 (2018). https://doi.org/10.1109/CSF.2018.00019

  12. Boyer, B., Corre, K., Legay, A., Sedwards, S.: PLASMA-lab: a flexible, distributable statistical model checking library. In: Joshi, K., Siegle, M., Stoelinga, M., D’Argenio, P.R. (eds.) QEST 2013. LNCS, vol. 8054, pp. 160–164. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-40196-1_12

    Chapter  Google Scholar 

  13. Bulychev, P., et al.: UPPAAL-SMC: statistical model checking for priced timed automata. arXiv preprint arXiv:1207.1272 (2012)

  14. Cavalcante, E., Quilbeuf, J., Traonouez, L.-M., Oquendo, F., Batista, T., Legay, A.: Statistical model checking of dynamic software architectures. In: Tekinerdogan, B., Zdun, U., Babar, A. (eds.) ECSA 2016. LNCS, vol. 9839, pp. 185–200. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-48992-6_14

    Chapter  Google Scholar 

  15. Chaum, D.: The dining cryptographers problem: unconditional sender and recipient untraceability. J. Cryptol. 1(1), 65–75 (1988). https://doi.org/10.1007/BF00206326

    Article  MathSciNet  MATH  Google Scholar 

  16. Clarke, E.M., Zuliani, P.: Statistical model checking for cyber-physical systems. In: Bultan, T., Hsiung, P.-A. (eds.) ATVA 2011. LNCS, vol. 6996, pp. 1–12. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-24372-1_1

    Chapter  MATH  Google Scholar 

  17. Clarkson, M.R., Finkbeiner, B., Koleini, M., Micinski, K.K., Rabe, M.N., Sánchez, C.: Temporal logics for hyperproperties. In: Abadi, M., Kremer, S. (eds.) POST 2014. LNCS, vol. 8414, pp. 265–284. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54792-8_15

    Chapter  Google Scholar 

  18. Clarkson, M.R., Schneider, F.B.: Hyperproperties. In: 2008 21st IEEE Computer Security Foundations Symposium, pp. 51–65. IEEE, Pittsburgh, PA, USA (2008). https://doi.org/10.1109/CSF.2008.7

  19. Coenen, N., Finkbeiner, B., Sánchez, C., Tentrup, L.: Verifying hyperliveness. In: Dillig, I., Tasiran, S. (eds.) CAV 2019. LNCS, vol. 11561, pp. 121–139. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-25540-4_7

    Chapter  Google Scholar 

  20. D’Argenio, P., Legay, A., Sedwards, S., Traonouez, L.M.: Smart sampling for lightweight verification of Markov decision processes. Int. J. Softw. Tools Technol. Transfer 17(4), 469–484 (2015)

    Article  Google Scholar 

  21. Das, S., Prabhakar, P.: Bayesian statistical model checking for multi-agent systems using HyperPCTL* (2022)

    Google Scholar 

  22. Dimitrova, R., Finkbeiner, B., Torfah, H.: Probabilistic hyperproperties of Markov decision processes. In: Hung, D.V., Sokolsky, O. (eds.) ATVA 2020. LNCS, vol. 12302, pp. 484–500. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-59152-6_27

    Chapter  Google Scholar 

  23. Dobe, O., Ábrahám, E., Bartocci, E., Bonakdarpour, B.: HyperProb: a model checker for probabilistic hyperproperties. In: Huisman, M., Păsăreanu, C., Zhan, N. (eds.) FM 2021. LNCS, vol. 13047, pp. 657–666. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-90870-6_35

    Chapter  Google Scholar 

  24. Dobe, O., Ábrahám, E., Bartocci, E., Bonakdarpour, B.: Model checking hyperproperties for Markov decision processes. Inf. Comput. 289, 104978 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  25. Dobe, O., Wilke, L., Ábrahám, E., Bartocci, E., Bonakdarpour, B.: Probabilistic hyperproperties with rewards. In: Deshmukh, J.V., Havelund, K., Perez, I. (eds.) NFM 2022. Lecture Notes in Computer Science, vol. 13260, pp. 656–673. Springer, Cham (2022). https://doi.org/10.1007/978-3-031-06773-0_35

    Chapter  Google Scholar 

  26. Dwork, C.: Differential privacy. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds.) ICALP 2006. LNCS, vol. 4052, pp. 1–12. Springer, Heidelberg (2006). https://doi.org/10.1007/11787006_1

    Chapter  Google Scholar 

  27. Finkbeiner, B., Hahn, C., Hans, T.: MGHyper: checking satisfiability of HyperLTL formulas beyond the \(\exists ^*\forall ^*\) fragment. In: Lahiri, S.K., Wang, C. (eds.) ATVA 2018. LNCS, vol. 11138, pp. 521–527. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-01090-4_31

    Chapter  Google Scholar 

  28. Finkbeiner, B., Hahn, C., Stenger, M.: EAHyper: satisfiability, implication, and equivalence checking of hyperproperties. In: Majumdar, R., Kunčak, V. (eds.) CAV 2017. LNCS, vol. 10427, pp. 564–570. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-63390-9_29

    Chapter  Google Scholar 

  29. Finkbeiner, B., Hahn, C., Stenger, M., Tentrup, L.: Monitoring hyperproperties. In: Lahiri, S., Reger, G. (eds.) RV 2017. LNCS, vol. 10548, pp. 190–207. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-67531-2_12

    Chapter  Google Scholar 

  30. Finkbeiner, B., Hahn, C., Stenger, M., Tentrup, L.: \(\text{ RVHyper }\): A runtime verification tool for temporal hyperproperties. In: Beyer, D., Huisman, M. (eds.) TACAS 2018. LNCS, vol. 10806, pp. 194–200. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-89963-3_11

    Chapter  MATH  Google Scholar 

  31. Finkbeiner, B., Hahn, C., Torfah, H.: Model checking quantitative hyperproperties. In: Chockler, H., Weissenbacher, G. (eds.) CAV 2018. LNCS, vol. 10981, pp. 144–163. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96145-3_8

    Chapter  Google Scholar 

  32. Finkbeiner, B., Müller, C., Seidl, H., Zalinescu, E.: Verifying security policies in multi-agent workflows with loops. In: Proceedings of the CCS 2017 (2017)

    Google Scholar 

  33. Finkbeiner, B., Rabe, M.N., Sánchez, C.: Algorithms for model checking HyperLTL and HyperCTL\(^*\). In: Kroening, D., Păsăreanu, C.S. (eds.) CAV 2015. LNCS, vol. 9206, pp. 30–48. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-21690-4_3

    Chapter  Google Scholar 

  34. Gadyatskaya, O., Hansen, R.R., Larsen, K.G., Legay, A., Olesen, M.C., Poulsen, D.B.: Modelling attack-defense trees using timed automata. In: Fränzle, M., Markey, N. (eds.) FORMATS 2016. LNCS, vol. 9884, pp. 35–50. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-44878-7_3

    Chapter  MATH  Google Scholar 

  35. Gilbert, D.R., Donaldson, R.: A monte Carlo model checker for probabilistic LTL with numerical constraints (2008)

    Google Scholar 

  36. Goguen, J.A., Meseguer, J.: Security policies and security models. In: IEEE Symposium on Security and Privacy, pp. 11–20 (1982)

    Google Scholar 

  37. Hahn, C., Stenger, M., Tentrup, L.: Constraint-based monitoring of hyperproperties. In: Vojnar, T., Zhang, L. (eds.) TACAS 2019. LNCS, vol. 11428, pp. 115–131. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-17465-1_7

    Chapter  Google Scholar 

  38. Henriques, D., Martins, J.G., Zuliani, P., Platzer, A., Clarke, E.M.: Statistical model checking for Markov decision processes. In: 2012 Ninth International Conference on Quantitative Evaluation of Systems, pp. 84–93 (2012). https://doi.org/10.1109/QEST.2012.19

  39. Hsu, T., Bonakdarpour, B., Finkbeiner, B., Sánchez, C.: Bounded model checking for asynchronous hyperproperties. CoRR abs/2301.07208 (2023). https://doi.org/10.48550/arXiv.2301.07208

  40. Hsu, T., Bonakdarpour, B., Sánchez, C.: HyperQube: a QBF-based bounded model checker for hyperproperties. CoRR abs/2109.12989 (2021). https://arxiv.org/abs/2109.12989

  41. Hsu, T.-H., Sánchez, C., Bonakdarpour, B.: Bounded model checking for hyperproperties. In: TACAS 2021. LNCS, vol. 12651, pp. 94–112. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-72016-2_6

    Chapter  MATH  Google Scholar 

  42. Gray, J.W., III., Syverson, P.F.: A logical approach to multilevel security of probabilistic systems. Distrib. Comput. 11(2), 73–90 (1998)

    Article  MATH  Google Scholar 

  43. Katoen, J.P., Zapreev, I.S., Hahn, E.M., Hermanns, H., Jansen, D.N.: The ins and outs of the probabilistic model checker MRMC. Perform. Eval. 68(2), 90–104 (2011)

    Article  Google Scholar 

  44. Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: verification of probabilistic real-time systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585–591. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22110-1_47

    Chapter  Google Scholar 

  45. Larsen, K.G., Legay, A.: 30 years of statistical model checking. In: Margaria, T., Steffen, B. (eds.) ISoLA 2020. LNCS, vol. 12476, pp. 325–330. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-61362-4_18

    Chapter  Google Scholar 

  46. Legay, A., Delahaye, B., Bensalem, S.: Statistical model checking: an overview. In: Barringer, H., et al. (eds.) RV 2010. LNCS, vol. 6418, pp. 122–135. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-16612-9_11

    Chapter  Google Scholar 

  47. Legay, A., Lukina, A., Traonouez, L.M., Yang, J., Smolka, S.A., Grosu, R.: Statistical model checking. In: Steffen, B., Woeginger, G. (eds.) Computing and Software Science. LNCS, vol. 10000, pp. 478–504. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91908-9_23

    Chapter  Google Scholar 

  48. Legay, A., Sedwards, S.: On statistical model checking with PLASMA. In: The 8th International Symposium on Theoretical Aspects of Software Engineering (2014)

    Google Scholar 

  49. O’Neill, K.R., Clarkson, M.R., Chong, S.: Information-flow security for interactive programs. In: CSFW, pp. 190–201. IEEE Computer Society (2006)

    Google Scholar 

  50. Pnueli, A.: The temporal logic of programs. In: 18th Annual Symposium on Foundations of Computer Science (SFCS 1977), pp. 46–57. IEEE (1977)

    Google Scholar 

  51. 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 

  52. Wald, A.: Sequential tests of statistical hypotheses. Ann. Math. Stat. 16(2), 117–186 (1945). https://doi.org/10.1214/aoms/1177731118

    Article  MathSciNet  MATH  Google Scholar 

  53. Wang, Y., Nalluri, S., Bonakdarpour, B., Pajic, M.: Statistical model checking for hyperproperties. In: IEEE Computer Security Foundations Symposium, pp. 1–16. Dubrovnik, Croatia (2021)

    Google Scholar 

  54. Wang, Y., Nalluri, S., Pajic, M.: Hyperproperties for robotics: planning via HyperLTL. In: 2020 IEEE International Conference on Robotics and Automation (ICRA), pp. 8462–8468 (2020). https://doi.org/10.1109/ICRA40945.2020.9196874

  55. Wang, Y., Zarei, M., Bonakdarpour, B., Pajic, M.: Statistical verification of hyperproperties for cyber-physical systems. ACM Trans. Embed. Comput. Syst. 18(5), 92 (2019). https://doi.org/10.1145/3358232

    Article  Google Scholar 

  56. Younes, H.L.S.: Ymer: a statistical model checker. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 429–433. Springer, Heidelberg (2005). https://doi.org/10.1007/11513988_43

    Chapter  Google Scholar 

  57. Zdancewic, S., Myers, A.C.: Observational determinism for concurrent program security. In: 16th IEEE Computer Security Foundations Workshop (CSFW-16 2003), 30 June–2 July 2003, Pacific Grove, CA, USA, p. 29. IEEE Computer Society (2003). https://doi.org/10.1109/CSFW.2003.1212703

  58. Zuliani, P.: Statistical model checking for biological applications. Int. J. Softw. Tools Technol. Transfer 17, 527–536 (2015)

    Article  Google Scholar 

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Dobe, O. et al. (2023). Lightweight Verification of Hyperproperties. In: André, É., Sun, J. (eds) Automated Technology for Verification and Analysis. ATVA 2023. Lecture Notes in Computer Science, vol 14216. Springer, Cham. https://doi.org/10.1007/978-3-031-45332-8_1

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