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arXiv · 1302.4739

Generating Non-Linear Interpolants by Semidefinite Programming

Liyun Dai·Bican Xia·Naijun Zhan
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Abstract

Interpolation-based techniques have been widely and successfully applied in the verification of hardware and software, e.g., in bounded-model check- ing, CEGAR, SMT, etc., whose hardest part is how to synthesize interpolants. Various work for discovering interpolants for propositional logic, quantifier-free fragments of first-order theories and their combinations have been proposed. However, little work focuses on discovering polynomial interpolants in the literature. In this paper, we provide an approach for constructing non-linear interpolants based on semidefinite programming, and show how to apply such results to the verification of programs by examples.

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Liyun Dai, Bican Xia, Naijun Zhan. 2013-02-19. Generating Non-Linear Interpolants by Semidefinite Programming. https://arxiv.org/abs/1302.4739

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