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.

Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays / Mann, Makai; Irfan, Ahmed; Griggio, Alberto; Padon, Oded; Barrett, Clark. - 12651:(2021), pp. 113-132. ((Intervento presentato al convegno 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS) tenutosi a Luxembourg nel March 27 – April 1, 2021 [10.1007/978-3-030-72016-2_7].

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

Alberto Griggio;
2021

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.
Tools and Algorithms for the Construction and Analysis of Systems
Luxembourg
Springer
978-3-030-72015-5
Mann, Makai; Irfan, Ahmed; Griggio, Alberto; Padon, Oded; Barrett, Clark
Counterexample-Guided Prophecy for Model Checking Modulo the Theory of Arrays / Mann, Makai; Irfan, Ahmed; Griggio, Alberto; Padon, Oded; Barrett, Clark. - 12651:(2021), pp. 113-132. ((Intervento presentato al convegno 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS) tenutosi a Luxembourg nel March 27 – April 1, 2021 [10.1007/978-3-030-72016-2_7].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/342947
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