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International Conference on Interactive Theorem Proving

ITP 2012: Interactive Theorem Proving pp 332–337Cite as

Mechanised Separation Algebra

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7406))

Abstract

We present an Isabelle/HOL library with a generic type class implementation of separation algebra, develop basic separation logic concepts on top of it, and implement generic automated tactic support that can be used directly for any instantiation of the library. We show that the library is usable by multiple example instantiations that include structures such as a heap or virtual memory, and report on our experience using it in operating systems verification.

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References

  1. Bengtson, J., Jensen, J., Sieczkowski, F., Birkedal, L.: Verifying Object-Oriented Programs with Higher-Order Separation Logic in Coq. In: van Eekelen, M., Geuvers, H., Schmaltz, J., Wiedijk, F. (eds.) ITP 2011. LNCS, vol. 6898, pp. 22–38. Springer, Heidelberg (2011)

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  2. Calcagno, C., O’Hearn, P.W., Yang, H.: Local Action and Abstract Separation Logic. In: Proc. 22nd LICS, pp. 366–378. IEEE (2007)

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  3. Klein, G., Elphinstone, K., Heiser, G., Andronick, J., Cock, D., Derrin, P., Elkaduwe, D., Engelhardt, K., Kolanski, R., Norrish, M., Sewell, T., Tuch, H., Winwood, S.: seL4: Formal Verification of an OS Kernel. In: 22nd SOSP, pp. 207–220. ACM (October 2009)

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  4. Klein, G., Kolanski, R., Boyton, A.: Separation Algebra. Archive of Formal Proofs (May 2012), http://afp.sf.net/entries/Separation_Algebra.shtml

  5. Kolanski, R.: Verification of Programs in Virtual Memory Using Separation Logic. PhD thesis, School Comp. Sci. & Engin. (July 2011)

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  6. Tuch, H., Klein, G., Norrish, M.: Types, Bytes, and Separation Logic. In: Hofmann, M., Felleisen, M. (eds.) 34th POPL, Nice, France, pp. 97–108. ACM (January 2007)

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  7. Tuerk, T.: A Formalisation of Smallfoot in HOL. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds.) TPHOLs 2009. LNCS, vol. 5674, pp. 469–484. Springer, Heidelberg (2009)

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Author information

Authors and Affiliations

  1. NICTA, Sydney, Australia

    Gerwin Klein, Rafal Kolanski & Andrew Boyton

  2. School of Computer Science and Engineering, UNSW, Sydney, Australia

    Gerwin Klein, Rafal Kolanski & Andrew Boyton

Authors
  1. Gerwin Klein
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  2. Rafal Kolanski
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  3. Andrew Boyton
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Princeton University, 35 Olden Street, 08540, Princeton, NJ, USA

    Lennart Beringer

  2. School of Electrical Engineering and Computer Science, University of Ottawa, 800 King Edward Ave., K1N 6N5, Ottawa, ON, Canada

    Amy Felty

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© 2012 Springer-Verlag Berlin Heidelberg

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Cite this paper

Klein, G., Kolanski, R., Boyton, A. (2012). Mechanised Separation Algebra. In: Beringer, L., Felty, A. (eds) Interactive Theorem Proving. ITP 2012. Lecture Notes in Computer Science, vol 7406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32347-8_22

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  • DOI: https://doi.org/10.1007/978-3-642-32347-8_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32346-1

  • Online ISBN: 978-3-642-32347-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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