# On the Convexity of a Fragment of Pure Set Theory with Applications within a Nelson-Oppen Framework

@article{Cantone2021OnTC, title={On the Convexity of a Fragment of Pure Set Theory with Applications within a Nelson-Oppen Framework}, author={Domenico Cantone and Andrea De Domenico and Pietro Maugeri}, journal={ArXiv}, year={2021}, volume={abs/2109.08309} }

The Satisfiability Modulo Theories (SMT) issue concerns the satisfiability of formulae from multiple background theories, usually expressed in the language of first-order predicate logic with equality. SMT solvers are often based on variants of the Nelson-Oppen combination method, a solver for the quantifier-free fragment of the combination of theories with disjoint signatures, via cooperation among their decision procedures. When each of the theories to be combined by the Nelson-Oppen method…

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