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arXiv · 2608.04835

Revisiting Incremental Linearization for Nonlinear Integer Arithmetic

Marek Dančo·Karel Chvalovský·Mikoláš Janota
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Abstract

Incremental Linearization has previously been proposed for solving SMT problems over quantifier-free nonlinear integer arithmetic and has proven effective despite its conceptual simplicity. In this paper, we introduce a revised axiom set that improves convergence on polynomial constraints built from higher-degree monomials, such as powers and mixed products, a class of problems on which prior axiomatizations struggled. We present a standalone implementation built on top of Z3 for linear integer arithmetic and evaluate it on the NIA benchmark set from SMT-LIB. Our results show that the approach is competitive with state-of-the-art solvers overall and substantially outperforms them on benchmarks dominated by such polynomial constraints.

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Marek Dančo, Karel Chvalovský, Mikoláš Janota. 2026-08-05. Revisiting Incremental Linearization for Nonlinear Integer Arithmetic. https://arxiv.org/abs/2608.04835

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