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Abstract

Title:

Secure microkernels, state monads and scalable refinement

Authors:

David Cock, Gerwin Klein and Thomas Sewell

    School of Computer Science and Engineering
    University of New South Wales
    Sydney 2052 Australia
    
    National ICT Australia, Sydney, Australia

Abstract:

We present a scalable, practical Hoare Logic and refinement calculus for the nondeterministic state monad with exceptions and failure in Isabelle/HOL. The emphasis of this formalisation is on large-scale verification of imperative-style functional programs, rather than expressing monad calculi in full generality. We achieve scalability in two dimensions. The method scales to multiple team members working productively and largely independently on a single proof and also to large programs with large and complex properties. We report on our experience in applying the techniques in an extensive (100,000 lines of proof) case study - the formal verification of an executable model of the seL4 operating system microkernel.

BibTeX Entry

  @inproceedings{Cock_KS_08,
    publisher        = {Springer},
    author           = {David Cock and Gerwin Klein and Thomas Sewell},
    title            = {Secure Microkernels, State Monads and Scalable Refinement},
    series           = {Lecture Notes in Computer Science},
    booktitle        = {Proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics},
    year             = {2008},
    month            = {Aug},
    volume           = {5170},
    editor           = {Otmane Ait Mohamed and C\'{e}sar Mu\~{n}oz and Sofi\`{e}ne Tahar},
    address          = {Montreal, Canada},
    pages            = {167--182}
  }

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