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A Component-Based Hybrid Systems Verification and Implementation Tool in KeYmaera X (Tool Demonstration)

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Cyber Physical Systems. Model-Based Design (CyPhy 2018, WESE 2018)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11615))

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Abstract

Safety-critical cyber-physical systems (CPS) should be analyzed using formal verification techniques in order to gain insight into and obtain rigorous safety guarantees about their behavior. For practical purposes, methods are needed to split modeling and verification effort into manageable pieces and link formal artifacts and techniques with implementation. In this paper we present a tool chain that supports component-based modeling and verification of CPS, generation of monitors, and systematic (but unverified) translation of models and monitors into executable code. A running example demonstrates how to model a system in a component-based fashion in differential dynamic logic (dL), how to represent and structure these models in the syntax of the hybrid systems theorem prover KeYmaera X (which implements dL), and how to prove properties in KeYmaera X. The verified components are the source for translation into executable C code, which can be run on controlled components (e.g., a robot). Additionally, we demonstrate how to generate monitors that validate the behavior of uncontrolled components (e.g., validate the assumptions made about obstacles).

This research was sponsored by the Defense Advanced Research Projects Agency (DARPA) under grant number FA8750-18-C-0092 and FA8750-12-2-0291, AFOSR FA9550-18-1-0120, and by the Austrian Science Fund (FWF) P28187-N31.

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Notes

  1. 1.

    The tactics language Bellerophon [8] for verification of hybrid systems provides a way to convey insights by programming hybrid systems proofs.

  2. 2.

    See [14] for further examples of connection programs.

  3. 3.

    http://www.keymaeraX.org.

References

  1. Agrawal, A., Simon, G., Karsai, G.: Semantic translation of Simulink/Stateflow models to hybrid automata using graph transformations. Electr. Notes Theor. Comput. Sci. 109, 43–56 (2004)

    Article  Google Scholar 

  2. Bak, S., Beg, O.A., Bogomolov, S., Johnson, T.T., Nguyen, L.V., Schilling, C.: Hybrid automata: from verification to implementation. STTT (2017)

    Google Scholar 

  3. Bohrer, B., Rahli, V., Vukotic, I., Völp, M., Platzer, A.: Formally verified differential dynamic logic. In: Bertot, Y., Vafeiadis, V. (eds.) Certified Programs and Proofs - 6th ACM SIGPLAN Conference, CPP 2017, pp. 208–221. ACM, New York (2017)

    Google Scholar 

  4. Bohrer, B., Tan, Y.K., Mitsch, S., Myreen, M.O., Platzer, A.: VeriPhy: verified controller executables from verified cyber-physical system models. In: Grossman, D. (ed.) Proceedings of the 39th ACM SIGPLAN Conference on Programming Language Design and Implementation, PLDI 2018. pp. 617–630. ACM (2018)

    Google Scholar 

  5. Eker, J., et al.: Taming heterogeneity - the Ptolemy approach. Proc. IEEE 91(1), 127–144 (2003)

    Article  Google Scholar 

  6. Frehse, G., et al.: SpaceEx: scalable verification of hybrid systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 379–395. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22110-1_30

    Chapter  Google Scholar 

  7. Fritzson, P., Engelson, V.: Modelica—a unified object-oriented language for system modeling and simulation. In: Jul, E. (ed.) ECOOP 1998. LNCS, vol. 1445, pp. 67–90. Springer, Heidelberg (1998). https://doi.org/10.1007/BFb0054087

    Chapter  Google Scholar 

  8. Fulton, N., Mitsch, S., Bohrer, B., Platzer, A.: Bellerophon: tactical theorem proving for hybrid systems. In: Ayala-Rincón, M., Muñoz, C.A. (eds.) ITP 2017. LNCS, vol. 10499, pp. 207–224. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66107-0_14

    Chapter  MATH  Google Scholar 

  9. Fulton, N., Mitsch, S., Quesel, J.-D., Völp, M., Platzer, A.: KeYmaera X: an axiomatic tactical theorem prover for hybrid systems. In: Felty, A.P., Middeldorp, A. (eds.) CADE 2015. LNCS (LNAI), vol. 9195, pp. 527–538. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-21401-6_36

    Chapter  Google Scholar 

  10. Lattmann, Z., Nagel, A., Levendovszky, T., Bapty, T., Neema, S., Karsai, G.: Component-based modeling of dynamic systems using heterogeneous composition. In: Hardebolle, C., Syriani, E., Sprinkle, J., Mészáros, T. (eds.) Proceedings of the 6th International Workshop on Multi-Paradigm Modeling, MPM@MoDELS 2012, pp. 73–78. ACM (2012)

    Google Scholar 

  11. Loos, S.M., Platzer, A.: Differential refinement logic. In: Grohe, M., Koskinen, E., Shankar, N. (eds.) LICS, pp. 505–514. ACM, New York (2016)

    Chapter  Google Scholar 

  12. Mitsch, S., Platzer, A.: The KeYmaera X proof IDE: concepts on usability in hybrid systems theorem proving. In: Dubois, C., Mery, D., Masci, P. (eds.) 3rd Workshop on Formal Integrated Development Environment, EPTCS, vol. 240, pp. 67–81. Open Publishing Association (2016)

    Google Scholar 

  13. Mitsch, S., Platzer, A.: ModelPlex: verified runtime validation of verified cyber-physical system models. Form. Methods Syst. Des. 49(12), 33–74 (2016). Special issue of selected papers from RV 2014

    Article  Google Scholar 

  14. Müller, A., Mitsch, S., Retschitzegger, W., Schwinger, W., Platzer, A.: Tactical contract composition for hybrid system component verification. STTT 20, 615–643 (2018). special issue for selected papers from FASE 2017

    Article  Google Scholar 

  15. Platzer, A.: Differential dynamic logic for hybrid systems. J. Autom. Reas. 41(2), 143–189 (2008)

    Article  MathSciNet  Google Scholar 

  16. Platzer, A.: A complete uniform substitution calculus for differential dynamic logic. J. Autom. Reas. 59(2), 219–265 (2017)

    Article  MathSciNet  Google Scholar 

  17. Platzer, A.: Logical Foundations of Cyber-Physical Systems. Springer, Switzerland (2018). https://doi.org/10.1007/978-3-319-63588-0

    Book  MATH  Google Scholar 

  18. Yang, Y., Jiang, Y., Gu, M., Sun, J.: Verifying Simulink stateflow model: timed automata approach. In: Lo, D., Apel, S., Khurshid, S. (eds.) Proceedings of the 31st IEEE/ACM International Conference on Automated Software Engineering, ASE 2016, pp. 852–857. ACM (2016)

    Google Scholar 

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Authors and Affiliations

  1. Department of Cooperative Information Systems, Johannes Kepler University, Altenbergerstr. 69, 4040, Linz, Austria

    Andreas Müller & Wieland Schwinger

  2. Computer Science Department, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Stefan Mitsch & André Platzer

Authors
  1. Andreas Müller
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  2. Stefan Mitsch
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  3. Wieland Schwinger
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  4. André Platzer
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Corresponding author

Correspondence to Andreas Müller .

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Editors and Affiliations

  1. Computer Science and Engineering, Washington University, St. Louis, MO, USA

    Roger Chamberlain

  2. School of Information Technology, Halmstad University, Halmstad, Sweden

    Walid Taha

  3. Department of Machine Design, KTH Royal Institute of Technology, Stockholm, Sweden

    Martin Törngren

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Müller, A., Mitsch, S., Schwinger, W., Platzer, A. (2019). A Component-Based Hybrid Systems Verification and Implementation Tool in KeYmaera X (Tool Demonstration). In: Chamberlain, R., Taha, W., Törngren, M. (eds) Cyber Physical Systems. Model-Based Design. CyPhy WESE 2018 2018. Lecture Notes in Computer Science(), vol 11615. Springer, Cham. https://doi.org/10.1007/978-3-030-23703-5_5

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  • DOI: https://doi.org/10.1007/978-3-030-23703-5_5

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  • Online ISBN: 978-3-030-23703-5

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