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Interpolants and Symbolic Model Checking

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Verification, Model Checking, and Abstract Interpretation (VMCAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4349))

Abstract

An interpolant for a mutually inconsistent pair of formulas (A,B) is a formula that is (1) implied by A, (2) inconsistent with B, and (3) expressed over the common variables of A and B. An interpolant can be efficiently derived from a refutation of A ∧ B, for certain theories and proof systems. In this tutorial we will cover methods of generating interpolants, and applications of interpolants, including invariant generation and abstraction refinement.

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References

  1. Craig, W.: Three uses of the herbrand-gentzen theorem in relating model theory and proof theory. J. Symbolic Logic 22(3), 269–285 (1957)

    Article  MATH  MathSciNet  Google Scholar 

  2. Henzinger, T.A., Jhala, R.: Rupak Majumdar, and K. L. McMillan. Abstractions from proofs. In: Principles of Prog. Lang., POPL 2004, pp. 23–244 (2004)

    Google Scholar 

  3. Jhala, R., McMillan, K.L.: Interpolant-based transition relation approximation. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 6–10. Springer, Heidelberg (2005)

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  4. McMillan, K.L.: Interpolation and sat-based model checking. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 1–13. Springer, Heidelberg (2003)

    Google Scholar 

  5. McMillan, K.L.: An interpolating theorem prover. Theor. Comput. Sci. 345(1), 101–121 (2005)

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  6. McMillan, K.L.: Lazy abstraction with interpolants. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 17–20. Springer, Heidelberg (2006)

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Authors and Affiliations

  1. Cadence Berkeley Labs,  

    K. L. McMillan

Authors
  1. K. L. McMillan
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Byron Cook Andreas Podelski

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© 2007 Springer-Verlag Berlin Heidelberg

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McMillan, K.L. (2007). Interpolants and Symbolic Model Checking. In: Cook, B., Podelski, A. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2007. Lecture Notes in Computer Science, vol 4349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69738-1_6

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  • DOI: https://doi.org/10.1007/978-3-540-69738-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69735-0

  • Online ISBN: 978-3-540-69738-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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