Makai Mann ; Ahmed Irfan ; Alberto Griggio ; Oded Padon ; Clark Barrett - Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays

lmcs:8436 - Logical Methods in Computer Science, August 31, 2022, Volume 18, Issue 3 - https://doi.org/10.46298/lmcs-18(3:26)2022
Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays

Authors: Makai Mann ; Ahmed Irfan ; Alberto Griggio ; Oded Padon ; Clark Barrett

    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.


    Volume: Volume 18, Issue 3
    Published on: August 31, 2022
    Accepted on: July 21, 2022
    Submitted on: September 2, 2021
    Keywords: Computer Science - Logic in Computer Science

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