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Model Finding for Recursive Functions in SMT

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Automated Reasoning (IJCAR 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9706))

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Abstract

SMT solvers have recently been extended with techniques for finding models of universally quantified formulas in some restricted fragments of first-order logic. This paper introduces a translation that reduces axioms specifying a large class of recursive functions, including terminating functions, to universally quantified formulas for which these techniques are applicable. An evaluation confirms that the approach improves the performance of existing solvers on benchmarks from three sources. The translation is implemented as a preprocessor in the CVC4 solver and in a new higher-order model finder called Nunchaku.

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Notes

  1. 1.

    https://github.com/epfl-lara/leon/.

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Acknowledgments

Viktor Kuncak and Stephan Merz have made this work possible. We would also like to thank Damien Busato-Gaston and Emmanouil Koukoutos for providing the set of Leon benchmarks used in the evaluation, and Mark Summerfield for suggesting several textual improvements. Cruanes is supported by the Inria technological development action “Contre-exemples utilisables par Isabelle et Coq” (CUIC). Reynolds and Tinelli are partially supported by grant 1228765 from the National Science Foundation.

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Authors and Affiliations

  1. Department of Computer Science, The University of Iowa, Iowa City, USA

    Andrew Reynolds & Cesare Tinelli

  2. Inria Nancy – Grand Est & LORIA, Villers-lès-Nancy, France

    Jasmin Christian Blanchette & Simon Cruanes

  3. Max-Planck-Institut für Informatik, Saarbrücken, Germany

    Jasmin Christian Blanchette

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  1. Andrew Reynolds
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  4. Cesare Tinelli
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Correspondence to Andrew Reynolds .

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Editors and Affiliations

  1. Aix-Marseille University, Marseille, France

    Nicola Olivetti

  2. SRI International, Menlo Park, California, USA

    Ashish Tiwari

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Reynolds, A., Blanchette, J.C., Cruanes, S., Tinelli, C. (2016). Model Finding for Recursive Functions in SMT. In: Olivetti, N., Tiwari, A. (eds) Automated Reasoning. IJCAR 2016. Lecture Notes in Computer Science(), vol 9706. Springer, Cham. https://doi.org/10.1007/978-3-319-40229-1_10

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  • DOI: https://doi.org/10.1007/978-3-319-40229-1_10

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