Skip to main content

MGHyper: Checking Satisfiability of HyperLTL Formulas Beyond the \(\exists ^*\forall ^*\) Fragment

  • Conference paper
  • First Online:
Automated Technology for Verification and Analysis (ATVA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 11138))

Abstract

Hyperproperties are properties that refer to multiple computation traces. This includes many information-flow security policies, such as observational determinism, (generalized) noninterference, and noninference, and other system properties like symmetry or Hamming distances between in error-resistant codes. We introduce MGHyper, a tool for automatic satisfiability checking and model generation for hyperproperties expressed in HyperLTL. Unlike previous satisfiability checkers, MGHyper is not limited to the decidable \(\exists ^*\forall ^*\) fragment of HyperLTL, but provides a semi-decision procedure for the full logic. An important application of MGHyper is to automatically check equivalences between different hyperproperties (and different formalizations of the same hyperproperty) and to build counterexamples that disprove a certain claimed implication. We describe the semi-decisionprocedure implemented in MGHyper and report on experimental results obtained both with typical hyperproperties from the literature and with randomly generated HyperLTL formulas.

This work was partially supported by the German Research Foundation (DFG) in the Collaborative Research Center 1223 and by the European Research Council (ERC) Grant OSARES (No. 683300).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

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

Institutional subscriptions

Similar content being viewed by others

References

  1. Biere, A., Cimatti, A., Clarke, E.M., Strichman, O., Zhu, Y.: Bounded model checking. Adv. Comput. (2003)

    Google Scholar 

  2. Clarke, E.M., Emerson, E.A.: Design and synthesis of synchronization skeletons using branching-time temporal logic. In: Logics of Programs, Workshop (1981)

    Google Scholar 

  3. Clarkson, M.R., Finkbeiner, B., Koleini, M., Micinski, K.K., Rabe, M.N., Sánchez, C.: Temporal logics for hyperproperties. POST (2014)

    Google Scholar 

  4. Clarkson, M.R., Schneider, F.B.: Hyperproperties. J. Comp. Sec. (2010)

    Google Scholar 

  5. Duret-Lutz, A.: Manipulating LTL formulas using spot 1.0. In: ATVA (2013)

    Google Scholar 

  6. Emerson, E.A., Halpern, J.Y.: “sometimes” and “not never” revisited: on branching versus linear time temporal logic. J. ACM (1986)

    Google Scholar 

  7. Finkbeiner, B., Hahn, C.: Deciding hyperproperties. In: CONCUR (2016)

    Google Scholar 

  8. Finkbeiner, B., Hahn, C., Stenger, M.: Eahyper: satisfiability, implication, and equivalence checking of hyperproperties. In: CAV (2017)

    Chapter  Google Scholar 

  9. Finkbeiner, B., Hahn, C., Stenger, M., Tentrup, L.: Monitoring hyperproperties. In: RV (2017)

    Chapter  Google Scholar 

  10. Finkbeiner, B., Hahn, C., Stenger, M., Tentrup, L.: Rvhyper : a runtime verification tool for temporal hyperproperties. In: TACAS (2018)

    Google Scholar 

  11. Finkbeiner, B., Rabe, M.N., Sánchez, C.: Algorithms for model checking hyperltl and hyperctl \(\hat{}\) *. In: CAV (2015)

    Google Scholar 

  12. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H Freeman, New York (1979)

    MATH  Google Scholar 

  13. Goguen, J.A., Meseguer, J.: Security policies and security models. In: S&P (1982)

    Google Scholar 

  14. McCullough, D.: Noninterference and the composability of security properties. In: S&P (1988)

    Google Scholar 

  15. McCullough, D.: A hookup theorem for multilevel security. IEEE Trans. Softw. Eng. (1990)

    Google Scholar 

  16. McLean, J.: Proving noninterference and functional correctness using traces. J. Comput. Secur. 1(1), 37–58 (1992)

    Article  Google Scholar 

  17. McLean, J.: A general theory of composition for trace sets closed under selective interleaving functions. In: S&P (1994)

    Google Scholar 

  18. McLean, J.: A general theory of composition for a class of “possibilistic” properties. IEEE Trans. Softw. Eng. (1996)

    Google Scholar 

  19. Millen, J.K.: Unwinding forward correctability. J. Comput. Secur. (1995)

    Google Scholar 

  20. Pnueli, A.: The temporal logic of programs. In: Foundations of Computer Science (1977)

    Google Scholar 

  21. Roscoe, A.W.: CSP and determinism in security modelling. In: S&P (1995)

    Google Scholar 

  22. Zdancewic, S., Myers, A.C.: Observational determinism for concurrent program security. In: CSFW-2016 (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tobias Hans .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Finkbeiner, B., Hahn, C., Hans, T. (2018). MGHyper: Checking Satisfiability of HyperLTL Formulas Beyond the \(\exists ^*\forall ^*\) Fragment. In: Lahiri, S., Wang, C. (eds) Automated Technology for Verification and Analysis. ATVA 2018. Lecture Notes in Computer Science(), vol 11138. Springer, Cham. https://doi.org/10.1007/978-3-030-01090-4_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-01090-4_31

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-01089-8

  • Online ISBN: 978-3-030-01090-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics