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Invariant Generation for Parametrized Systems Using Self-reflection

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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

We examine the problem of inferring invariants for parametrized systems. Parametrized systems are concurrent systems consisting of an a priori unbounded number of process instances running the same program. Such systems are commonly encountered in many situations including device drivers, distributed systems, and robotic swarms. In this paper we describe a technique that enables leveraging off-the-shelf invariant generators designed for sequential programs to infer invariants of parametrized systems. The central challenge in invariant inference for parametrized systems is that naïvely exploding the transition system with all interleavings is not just impractical but impossible. In our approach, the key enabler is the notion of a reflective abstraction that we prove has an important correspondence with inductive invariants. This correspondence naturally gives rise to an iterative invariant generation procedure that alternates between computing candidate invariants and creating reflective abstractions.

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Author information

Authors and Affiliations

  1. IMDEA Software Institute, Madrid, Spain

    Alejandro Sanchez & César Sánchez

  2. University of Colorado, Boulder, CO, USA

    Sriram Sankaranarayanan & Bor-Yuh Evan Chang

  3. Institute for Applied Physics, CSIC, Spain

    César Sánchez

Authors
  1. Alejandro Sanchez
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  2. Sriram Sankaranarayanan
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  3. César Sánchez
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  4. Bor-Yuh Evan Chang
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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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Sanchez, A., Sankaranarayanan, S., Sánchez, C., Chang, BY.E. (2012). Invariant Generation for Parametrized Systems Using Self-reflection. 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_12

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  • DOI: https://doi.org/10.1007/978-3-642-33125-1_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33124-4

  • Online ISBN: 978-3-642-33125-1

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