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When the Decreasing Sequence Fails

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Static Analysis (SAS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7460))

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Abstract

The classical method for program analysis by abstract interpretation consists in computing a increasing sequence with widening, which converges towards a correct solution, then computing a decreasing sequence of correct solutions without widening. It is generally admitted that, when the decreasing sequence reaches a fixpoint, it cannot be improved further. As a consequence, all efforts for improving the precision of an analysis have been devoted to improving the limit of the increasing sequence. In this paper, we propose a method to improve a fixpoint after its computation. The method consists in projecting the solution onto well-chosen components and to start again increasing and decreasing sequences from the result of the projection.

This work has been partially supported by the ASOPT project of the “Agence Nationale de la Recherche” of the French Ministry of Research.

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Author information

Authors and Affiliations

  1. Vérimag Grenoble University, France

    Nicolas Halbwachs & Julien Henry

Authors
  1. Nicolas Halbwachs
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  2. Julien Henry
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Editor information

Editors and Affiliations

  1. Département d’Informatique, École Normale Supérieure, 45, rue d’Ulm, 75005, Paris, France

    Antoine Miné

  2. Department of Computing and Information Sciences, Kansas State University, 234 Nichols Hall, 66506, Manhattan, KS, USA

    David Schmidt

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Halbwachs, N., Henry, J. (2012). When the Decreasing Sequence Fails. In: Miné, A., Schmidt, D. (eds) Static Analysis. SAS 2012. Lecture Notes in Computer Science, vol 7460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33125-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-33125-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33124-4

  • Online ISBN: 978-3-642-33125-1

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