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A global constraint for over-approximation of real-time streams

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Abstract

Formal verification of real time programs, where variables can change values at every time step, is difficult due to the analyses of loops with time lags. In this paper, we propose a constraint programming model together with a global constraint and a filtering algorithm, for computing over-approximation of real-time streams. The global constraint handles the loop analyses by providing an interval over-approximation of the loop invariant. We apply our method to the FAUST language, a language for processing real-time audio streams. Experiments show that our approach provides accurate results in short times.

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Notes

  1. FAUST is open source and available at http://faust.grame.fr

  2. For reading facilities, we simply write cycle instead of directed cycle while working with directed structures such as block-diagrams.

  3. See http://faust.grame.fr/index.php/documentation/references for listing and description.

  4. In music, a numeric audio stream is a sequence of values between − 1 and 1

  5. https://www.cs.ox.ac.uk/people/peter.schrammel/reaver/

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Acknowledgments

We would like to thank the reviewers for their insightful comments which were numerous, detailed, and clear.

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Authors and Affiliations

  1. TASC (CNRS), LS2N - UMR 6004, Université de Nantes, Nantes, France

    Charlotte Truchet & Eric Monfroy

  2. TASC (CNRS), LS2N - UMR 6004, Institut Mines-Télécom Atlantique, Nantes, France

    Anicet Bart

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  1. Anicet Bart
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Correspondence to Anicet Bart.

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Bart, A., Truchet, C. & Monfroy, E. A global constraint for over-approximation of real-time streams. Constraints 22, 463–490 (2017). https://doi.org/10.1007/s10601-017-9268-z

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  • DOI: https://doi.org/10.1007/s10601-017-9268-z

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