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arXiv · 1905.09227

A CDCL-style calculus for solving non-linear constraints

Franz Brauße·Konstantin Korovin·Margarita Korovina·Norbert Th. Müller
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Abstract

In this paper we propose a novel approach for checking satisfiability of non-linear constraints over the reals, called ksmt. The procedure is based on conflict resolution in CDCL style calculus, using a composition of symbolical and numerical methods. To deal with the non-linear components in case of conflicts we use numerically constructed restricted linearisations. This approach covers a large number of computable non-linear real functions such as polynomials, rational or trigonometrical functions and beyond. A prototypical implementation has been evaluated on several non-linear SMT-LIB examples and the results have been compared with state-of-the-art SMT solvers.

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Franz Brauße, Konstantin Korovin, Margarita Korovina, Norbert Th. Müller. 2019-05-22. A CDCL-style calculus for solving non-linear constraints. https://arxiv.org/abs/1905.09227

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