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International Symposium on Automated Technology for Verification and Analysis

ATVA 2012: Automated Technology for Verification and Analysis pp 187–202Cite as

Accelerating Interpolants

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7561))

Abstract

We present Counterexample-Guided Accelerated Abstraction Refinement (CEGAAR), a new algorithm for verifying infinite-state transition systems. CEGAAR combines interpolation-based predicate discovery in counterexample-guided predicate abstraction with acceleration technique for computing the transitive closure of loops. CEGAAR applies acceleration to dynamically discovered looping patterns in the unfolding of the transition system, and combines overapproximation with underapproximation. It constructs inductive invariants that rule out an infinite family of spurious counterexamples, alleviating the problem of divergence in predicate abstraction without losing its adaptive nature. We present theoretical and experimental justification for the effectiveness of CEGAAR, showing that inductive interpolants can be computed from classical Craig interpolants and transitive closures of loops. We present an implementation of CEGAAR that verifies integer transition systems. We show that the resulting implementation robustly handles a number of difficult transition systems that cannot be handled using interpolation-based predicate abstraction or acceleration alone.

Supported by the Rich Model Toolkit initiative, http://richmodels.org , the Czech Science Foundation (projects P103/10/0306 and 102/09/H042), the Czech Ministry of Education (COST OC10009 and MSM 0021630528), the BUT project FIT-S-12-1 and the Microsoft Innovation Cluster for Embedded Software.

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Author information

Authors and Affiliations

  1. Swiss Federal Institute of Technology Lausanne (EPFL), Switzerland

    Hossein Hojjat & Viktor Kuncak

  2. Verimag, Grenoble, France

    Radu Iosif & Filip Konečný

  3. Uppsala University, Sweden

    Philipp Rümmer

  4. Brno University of Technology, Czech Republic

    Filip Konečný

Authors
  1. Hossein Hojjat
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  2. Radu Iosif
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  3. Filip Konečný
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  4. Viktor Kuncak
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  5. Philipp Rümmer
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Editor information

Editors and Affiliations

  1. Indian Institute of Technology, Computer Science and Engineering, Dept. of Computer Science and Engineering, IIT Bombay, Powai, 400076, Mumbai, Maharashtra, India

    Supratik Chakraborty

  2. Chennai Mathematical Institute, H1, SIPCOT IT Park, Kelambakkam, 603103, Siruseri, Tamil Nadu, India

    Madhavan Mukund

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Hojjat, H., Iosif, R., Konečný, F., Kuncak, V., Rümmer, P. (2012). Accelerating Interpolants. In: Chakraborty, S., Mukund, M. (eds) Automated Technology for Verification and Analysis. ATVA 2012. Lecture Notes in Computer Science, vol 7561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33386-6_16

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  • DOI: https://doi.org/10.1007/978-3-642-33386-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33385-9

  • Online ISBN: 978-3-642-33386-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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