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Verification Constraint Problems with Strengthening

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Theoretical Aspects of Computing - ICTAC 2006 (ICTAC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4281))

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Abstract

The deductive method reduces verification of safety properties of programs to, first, proposing inductive assertions and, second, proving the validity of the resulting set of first-order verification conditions. We discuss the transition from verification conditions to verification constraints that occurs when the deductive method is applied to parameterized assertions instead of fixed expressions (e.g., p 0 + p 1 j + p 2 k ≥0, for parameters p 0, p 1, and p 2, instead of 3 + j – k ≥0) in order to discover inductive assertions. We then introduce two new verification constraint forms that enable the incremental and property-directed construction of inductive assertions. We describe an iterative method for solving the resulting constraint problems. The main advantage of this approach is that it uses off-the-shelf constraint solvers and thus directly benefits from progress in constraint solving.

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Authors and Affiliations

  1. Computer Science Department, Stanford University, Stanford, CA, 94305-9045, USA

    Aaron R. Bradley & Zohar Manna

Authors
  1. Aaron R. Bradley
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  2. Zohar Manna
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Editors and Affiliations

  1. Laboratoire CEDRIC, Conservatoire National des Arts et Métiers, 192 rue Saint Martin, Paris Cedex 03, France

    Kamel Barkaoui

  2. Department of Computer Science, University of York, York, UK

    Ana Cavalcanti

  3. UNU-IIST, Macau SAR, China

    Antonio Cerone

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Bradley, A.R., Manna, Z. (2006). Verification Constraint Problems with Strengthening. In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds) Theoretical Aspects of Computing - ICTAC 2006. ICTAC 2006. Lecture Notes in Computer Science, vol 4281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11921240_3

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  • DOI: https://doi.org/10.1007/11921240_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48815-6

  • Online ISBN: 978-3-540-48816-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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