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A Verified Decision Procedure for Orders in Isabelle/HOL

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Automated Technology for Verification and Analysis (ATVA 2021)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12971))

Abstract

We present the first verified implementation of a decision procedure for the quantifier-free theory of partial and linear orders. We formalise the procedure in Isabelle/HOL and provide a specification that is made executable using Isabelle’s code generator. The procedure is already part of the development version of Isabelle as a sub-procedure of the simplifier.

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Notes

  1. 1.

    File path of the procedure in the Isabelle2021 distribution: src/Provers/order.ML.

  2. 2.

    Introduced in commit https://isabelle-dev.sketis.net/rISABELLEa3cc9fa129.

References

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Acknowledgements

We thank Kevin Kappelmann and the anonymous reviewers for their comments.

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Authors and Affiliations

  1. Fakultät für Informatik, Technische Universität München, Munich, Germany

    Lukas Stevens & Tobias Nipkow

Authors
  1. Lukas Stevens
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  2. Tobias Nipkow
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Corresponding author

Correspondence to Lukas Stevens .

Editor information

Editors and Affiliations

  1. Griffith University, Brisbane, QLD, Australia

    Zhe Hou

  2. University of Waterloo, Waterloo, ON, Canada

    Vijay Ganesh

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Stevens, L., Nipkow, T. (2021). A Verified Decision Procedure for Orders in Isabelle/HOL. In: Hou, Z., Ganesh, V. (eds) Automated Technology for Verification and Analysis. ATVA 2021. Lecture Notes in Computer Science(), vol 12971. Springer, Cham. https://doi.org/10.1007/978-3-030-88885-5_9

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  • DOI: https://doi.org/10.1007/978-3-030-88885-5_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-88884-8

  • Online ISBN: 978-3-030-88885-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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