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Shape Analysis via Monotonic Abstraction

Authors: Parosh Aziz Abdulla, Ahmed Bouajjani, Jonathan Cederberg, Frédéric Haziza, Ran Ji, and Ahmed Rezine

Published in: Dagstuhl Seminar Proceedings, Volume 8171, Beyond the Finite: New Challenges in Verification and Semistructured Data (2008)

Abstract

We propose a new formalism for reasoning about dynamic memory heaps, using monotonic abstraction and symbolic backward reachability analysis. We represent the heaps as graphs, and introduce an ordering on these graphs. This enables us to represent the violation of a given safety property as the reachability of a finitely representable set of bad graphs. We also describe how to symbolically compute the reachable states in the transition system induced by a program.

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Parosh Aziz Abdulla, Ahmed Bouajjani, Jonathan Cederberg, Frédéric Haziza, Ran Ji, and Ahmed Rezine. Shape Analysis via Monotonic Abstraction. In Beyond the Finite: New Challenges in Verification and Semistructured Data. Dagstuhl Seminar Proceedings, Volume 8171, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{azizabdulla_et_al:DagSemProc.08171.3,
  author =	{Aziz Abdulla, Parosh and Bouajjani, Ahmed and Cederberg, Jonathan and Haziza, Fr\'{e}d\'{e}ric and Ji, Ran and Rezine, Ahmed},
  title =	{{Shape Analysis via Monotonic Abstraction}},
  booktitle =	{Beyond the Finite: New Challenges in Verification and Semistructured Data},
  pages =	{1--11},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8171},
  editor =	{Anca Muscholl and Ramaswamy Ramanujam and Micha\"{e}l Rusinowitch and Thomas Schwentick and Victor Vianu},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08171.3},
  URN =		{urn:nbn:de:0030-drops-15590},
  doi =		{10.4230/DagSemProc.08171.3},
  annote =	{Keywords: Shape analysis, Program verification, Static analysis}
}

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Shape Analysis via Monotonic Abstraction

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