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Splitting via Interpolants

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7148)

Abstract

A common problem in software model checking is the automatic computation of accurate loop invariants. Loop invariants can be derived from interpolants for every path leading through the corresponding loop header. However, in practice, the consideration of single paths often leads to very path specific interpolants. Inductive invariants can only be derived after several iterations by also taking previous interpolants into account.

In this paper, we introduce a software model checking approach that uses the concept of path insensitive interpolation to compute loop invariants. In contrast to current approaches, path insensitive interpolation summarizes several paths through a program location instead of one. As a consequence, it takes the abstraction refinement considerably less effort to obtain an adequate interpolant. First experiments show the potential of our approach.

Keywords

  • Model Check
  • Outgoing Edge
  • Program Graph
  • Feasible Path
  • Transition Formula

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

UNU-IIST, Macau, Technical Report 449, June 2011.

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Ermis, E., Hoenicke, J., Podelski, A. (2012). Splitting via Interpolants. In: Kuncak, V., Rybalchenko, A. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2012. Lecture Notes in Computer Science, vol 7148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27940-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-27940-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27939-3

  • Online ISBN: 978-3-642-27940-9

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