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International Conference on Interactive Theorem Proving

ITP 2014: Interactive Theorem Proving pp 421–436Cite as

The Reflective Milawa Theorem Prover Is Sound

(Down to the Machine Code That Runs It)

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8558))

Abstract

Milawa is a theorem prover styled after ACL2 but with a small kernel and a powerful reflection mechanism. We have used the HOL4 theorem prover to formalize the logic of Milawa, prove the logic sound, and prove that the source code for the Milawa kernel (2,000 lines of Lisp) is faithful to the logic. Going further, we have combined these results with our previous verification of an x86 machine-code implementation of a Lisp runtime. Our top-level HOL4 theorem states that when Milawa is run on top of our verified Lisp, it will only print theorem statements that are semantically true. We believe that this top-level theorem is the most comprehensive formal evidence of a theorem prover’s soundness to date.

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Author information

Authors and Affiliations

  1. Computer Laboratory, University of Cambridge, UK

    Magnus O. Myreen

  2. Centaur Technology, Inc., Austin, TX, USA

    Jared Davis

Authors
  1. Magnus O. Myreen
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  2. Jared Davis
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Editor information

Editors and Affiliations

  1. NICTA, Sydney, NSW, Australia

    Gerwin Klein

  2. University of Wyoming, Laramie, WY, USA

    Ruben Gamboa

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© 2014 Springer International Publishing Switzerland

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Myreen, M.O., Davis, J. (2014). The Reflective Milawa Theorem Prover Is Sound. In: Klein, G., Gamboa, R. (eds) Interactive Theorem Proving. ITP 2014. Lecture Notes in Computer Science, vol 8558. Springer, Cham. https://doi.org/10.1007/978-3-319-08970-6_27

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  • DOI: https://doi.org/10.1007/978-3-319-08970-6_27

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08969-0

  • Online ISBN: 978-3-319-08970-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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