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Steps towards Verified Implementations of HOL Light

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Interactive Theorem Proving (ITP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7998))

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Abstract

This short paper describes our plans and progress towards construction of verified ML implementations of HOL Light: the first formally proved soundness result for an LCF-style prover. Building on Harrison’s formalisation of the HOL Light logic and our previous work on proof-producing synthesis of ML, we have produced verified implementations of each of HOL Light’s kernel functions. What remains is extending Harrison’s soundness proof and proving that ML’s module system provides the required abstraction for soundness of the kernel to relate to the entire theorem prover. The proofs described in this paper involve the HOL Light and HOL4 theorem provers and the OpenTheory toolchain.

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References

  1. Harrison, J.: HOL Light: An overview. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds.) TPHOLs 2009. LNCS, vol. 5674, pp. 60–66. Springer, Heidelberg (2009), http://www.cl.cam.ac.uk/~jrh13/hol-light/

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Author information

Authors and Affiliations

  1. Computer Laboratory, University of Cambridge, UK

    Magnus O. Myreen & Ramana Kumar

  2. School of Computing, University of Kent, UK

    Scott Owens

Authors
  1. Magnus O. Myreen
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  2. Scott Owens
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  3. Ramana Kumar
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Editor information

Editors and Affiliations

  1. IRISA, Université Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France

    Sandrine Blazy

  2. Université Paris-Sud, LRI, Bat 650, Univ. Paris Sud, 91405, Orsay Cedex, France

    Christine Paulin-Mohring

  3. Inria Rennes-Bretagne Atlantique, Campus de Beaulieu, 35042, Rennes Cedex, France

    David Pichardie

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Myreen, M.O., Owens, S., Kumar, R. (2013). Steps towards Verified Implementations of HOL Light. In: Blazy, S., Paulin-Mohring, C., Pichardie, D. (eds) Interactive Theorem Proving. ITP 2013. Lecture Notes in Computer Science, vol 7998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39634-2_38

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  • DOI: https://doi.org/10.1007/978-3-642-39634-2_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39633-5

  • Online ISBN: 978-3-642-39634-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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