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arXiv · 2101.06825

Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays

Makai Mann·Ahmed Irfan·Alberto Griggio·Oded Padon·Clark Barrett
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Abstract

We develop a framework for model checking infinite-state systems by automatically augmenting them with auxiliary variables, enabling quantifier-free induction proofs for systems that would otherwise require quantified invariants. We combine this mechanism with a counterexample-guided abstraction refinement scheme for the theory of arrays. Our framework can thus, in many cases, reduce inductive reasoning with quantifiers and arrays to quantifier-free and array-free reasoning. We evaluate the approach on a wide set of benchmarks from the literature. The results show that our implementation often outperforms state-of-the-art tools, demonstrating its practical potential.

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Makai Mann, Ahmed Irfan, Alberto Griggio, Oded Padon, Clark Barrett. 2021-01-18. Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays. https://doi.org/10.46298/lmcs-18(3%3A26)2022

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