Model Finding for Recursive Functions in SMT

  • Andrew Reynolds
  • Jasmin Christian Blanchette
  • Simon Cruanes
  • Cesare Tinelli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9706)

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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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Andrew Reynolds
    • 1
  • Jasmin Christian Blanchette
    • 2
    • 3
  • Simon Cruanes
    • 2
  • Cesare Tinelli
    • 1
  1. 1.Department of Computer ScienceThe University of IowaIowa CityUSA
  2. 2.Inria Nancy – Grand Est & LORIAVillers-lès-NancyFrance
  3. 3.Max-Planck-Institut für InformatikSaarbrückenGermany

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