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Nonstandard Static Analysis: Literal Transfer of Deductive Verification Frameworks from Discrete to Hybrid

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Cyber Physical Systems. Design, Modeling, and Evaluation (CyPhy 2017)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11267))

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Abstract

The talk summarizes our series of work [4, 7, 10, 11]. Special thanks are due to my collaborators: Kohei Suenaga (Kyoto University), Swarat Chaudhuri (Rice University), and my (former) students Kengo Kido and Hiroyoshi Sekine (The University of Tokyo).

The work summarized here is supported by JSPS Grants-in-Aid No. 24680001, 24800035, 25730040 & 15KT0012; Aihara Innovative Mathematical Modelling Project, FIRST Program, JSPS/CSTP; and JST ERATO HASUO Metamathematics for Systems Design Project (No. JPMJER1603).

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References

  1. Alur, R., et al.: The algorithmic analysis of hybrid systems. Theor. Comp. Sci. 138(1), 3–34 (1995)

    Article  MathSciNet  Google Scholar 

  2. Cousot, P., Cousot, R.: Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: Graham, R.M., Harrison, M.A., Sethi, R. (eds.) Conference Record of the Fourth ACM Symposium on Principles of Programming Languages, Los Angeles, California, USA, January 1977, pp. 238–252. ACM (1977). http://doi.acm.org/10.1145/512950.512973

  3. Floyd, R.W.: Assigning meanings to programs. In: Colburn, T.R., Fetzer, J.H., Rankin, T.L. (eds.) Program Verification: Fundamental Issues in Computer Science. Studies in Cognitive Systems, vol. 14, pp. 65–81. Springer, Dordrecht (1993). https://doi.org/10.1007/978-94-011-1793-7_4

    Chapter  Google Scholar 

  4. Hasuo, I., Suenaga, K.: Exercises in Nonstandard Static Analysis of hybrid systems. In: Madhusudan, P., Seshia, S.A. (eds.) CAV 2012. LNCS, vol. 7358, pp. 462–478. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-31424-7_34

    Chapter  Google Scholar 

  5. Henzinger, T.A.: The theory of hybrid automata. In: LICS, pp. 278–292. IEEE Computer Society (1996)

    Google Scholar 

  6. Hoare, C.A.R.: An axiomatic basis for computer programming. Commun. ACM 12, 576–580, 583 (1969)

    Article  Google Scholar 

  7. Kido, K., Chaudhuri, S., Hasuo, I.: Abstract interpretation with infinitesimals. In: Jobstmann, B., Leino, K.R.M. (eds.) VMCAI 2016. LNCS, vol. 9583, pp. 229–249. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49122-5_11

    Chapter  MATH  Google Scholar 

  8. Platzer, A.: Logical Analysis of Hybrid Systems-Proving Theorems for Complex Dynamics. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-14509-4

    Book  MATH  Google Scholar 

  9. Robinson, A.: Non-standard Analysis. Princeton University Press, Princeton (1996)

    Book  Google Scholar 

  10. Suenaga, K., Hasuo, I.: Programming with infinitesimals: a While-language for hybrid system modeling. In: Aceto, L., Henzinger, M., Sgall, J. (eds.) ICALP 2011. LNCS, vol. 6756, pp. 392–403. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22012-8_31

    Chapter  MATH  Google Scholar 

  11. Suenaga, K., Sekine, H., Hasuo, I.: Hyperstream processing systems: nonstandard modeling of continuous-time signals. In: Giacobazzi, R., Cousot, R. (eds.) POPL, pp. 417–430. ACM (2013)

    Google Scholar 

  12. Winskel, G.: The Formal Semantics of Programming Languages. MIT Press, Cambridge (1993)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. National Institute of Informatics, Tokyo, Japan

    Ichiro Hasuo

  2. The Graduate University for Advanced Studies (SOKENDAI), Tokyo, Japan

    Ichiro Hasuo

Authors
  1. Ichiro Hasuo
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Correspondence to Ichiro Hasuo .

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Editors and Affiliations

  1. Washington University, St. Louis, MO, USA

    Roger Chamberlain

  2. Halmstad University, Halmstad, Sweden

    Walid Taha

  3. KTH Royal Institute of Technology, Stockholm, Sweden

    Martin Törngren

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Hasuo, I. (2019). Nonstandard Static Analysis: Literal Transfer of Deductive Verification Frameworks from Discrete to Hybrid. In: Chamberlain, R., Taha, W., Törngren, M. (eds) Cyber Physical Systems. Design, Modeling, and Evaluation. CyPhy 2017. Lecture Notes in Computer Science(), vol 11267. Springer, Cham. https://doi.org/10.1007/978-3-030-17910-6_1

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  • DOI: https://doi.org/10.1007/978-3-030-17910-6_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-17909-0

  • Online ISBN: 978-3-030-17910-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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