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Model Finding for Recursive Functions in SMT
Conference proceeding

Model Finding for Recursive Functions in SMT

Andrew Reynolds, Jasmin Christian Blanchette, Simon Cruanes and Cesare Tinelli
Automated Reasoning, Vol.9706, pp.133-151
Automated Reasoning - 8th International Joint Conference, IJCAR 2016, Coimbra, Portugal, June 27 - July 2, 2016, Proceedings
IJCAR 2016 - 8th International Joint Conference on Automated Reasoning
06/12/2016
DOI: 10.1007/978-3-319-40229-1_10
url
https://inria.hal.science/hal-01336082View
Open Access

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.
Computer Science Logic in Computer Science

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