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Decision Procedures for Region Logic

  • Conference paper
Verification, Model Checking, and Abstract Interpretation (VMCAI 2012)

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

Abstract

Region logic is Hoare logic for object-based programs. It features local reasoning with frame conditions expressed in terms of sets of heap locations. This paper studies tableau-based decision procedures for RL, the quantifier-free fragment of the assertion language. This fragment combines sets and (functional) images with the theories of arrays and partial orders. The procedures are of practical interest because they can be integrated efficiently into the satisfiability modulo theories (SMT) framework. We provide a semi-decision procedure for RL and its implementation as a theory plugin inside the SMT solver Z3. We also provide a decision procedure for an expressive fragment of RL termed restricted-RL. We prove that deciding satisfiability of restricted-RL formulas is NP-complete. Both procedures are proven sound and complete. Preliminary performance results indicate that the semi-decision procedure has the potential toscale to large input formulas.

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Author information

Authors and Affiliations

  1. Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Stan Rosenberg & David A. Naumann

  2. IMDEA Software Institute, Madrid, Spain

    Anindya Banerjee

Authors
  1. Stan Rosenberg
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  2. Anindya Banerjee
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  3. David A. Naumann
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Editor information

Editors and Affiliations

  1. Swiss Federal Institute of Technology Lausanne (EPFL), IC IIF LARA INR 318, Station 14, 1015, Lausanne, Switzerland

    Viktor Kuncak

  2. Institut für Informatik, Technische Universität München, Boltzmannstr. 3, 85748, Munich, Germany

    Andrey Rybalchenko

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Rosenberg, S., Banerjee, A., Naumann, D.A. (2012). Decision Procedures for Region Logic. 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_25

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  • DOI: https://doi.org/10.1007/978-3-642-27940-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27939-3

  • Online ISBN: 978-3-642-27940-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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