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Model Checking with Multi-threaded IC3 Portfolios

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Book cover Verification, Model Checking, and Abstract Interpretation (VMCAI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9583))

Abstract

Three variants of multi-threaded ic3 are presented. Each variant has a fixed number of ic3s running in parallel, and communicating by sharing lemmas. They differ in the degree of synchronization between threads, and the aggressiveness with which proofs are checked. The correctness of all three variants is shown. The variants have unpredictable runtime. On the same input, the time to find the solution over different runs varies randomly depending on the thread interleaving. The use of a portfolio of solvers to maximize the likelihood of a quick solution is investigated. Using the Extreme Value theorem, the runtime of each variant, as well as their portfolios is analyzed statistically. A formula for the portfolio size needed to achieve a verification time with high probability is derived, and validated empirically. Using a portfolio of 20 parallel ic3s, speedups over 300 are observed compared to the sequential ic3 on hardware model checking competition examples. The use of parameter sweeping to implement a solver that performs well over a wide range of problems with unknown “hardness” is investigated.

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Notes

  1. 1.

    http://ecee.colorado.edu/~bradleya/ic3/ic3.tar.gz.

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Aknowledgment

We are grateful to Jeffery Hansen and Arie Gurfinkel for helpful comments and discussions. This material is based upon work funded and supported by the Department of Defense under Contract No. FA8721-05-C-0003 with Carnegie Mellon University for the operation of the Software Engineering Institute, a federally funded research and development center. This material has been approved for public release and unlimited distribution DM-0002752.

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Authors and Affiliations

  1. Software Engineering Institute, Carnegie Mellon University, Pittsburgh, USA

    Sagar Chaki & Derrick Karimi

  2. Carnegie Robotics, Pittsburgh, USA

    Derrick Karimi

Authors
  1. Sagar Chaki
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  2. Derrick Karimi
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Correspondence to Sagar Chaki .

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Editors and Affiliations

  1. EPFL IC-DO, Lausanne, Switzerland

    Barbara Jobstmann

  2. Microsoft Research, Redmond, Washington, USA

    K. Rustan M. Leino

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Chaki, S., Karimi, D. (2016). Model Checking with Multi-threaded IC3 Portfolios. In: Jobstmann, B., Leino, K. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2016. Lecture Notes in Computer Science(), vol 9583. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49122-5_25

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  • DOI: https://doi.org/10.1007/978-3-662-49122-5_25

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  • Print ISBN: 978-3-662-49121-8

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