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arXiv · 2106.00966

Temporal Prophecy for Proving Temporal Properties of Infinite-State Systems

Oded Padon·Jochen Hoenicke·Kenneth L. McMillan·Andreas Podelski·Mooly Sagiv·Sharon Shoham
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Abstract

Various verification techniques for temporal properties transform temporal verification to safety verification. For infinite-state systems, these transformations are inherently imprecise. That is, for some instances, the temporal property holds, but the resulting safety property does not. This paper introduces a mechanism for tackling this imprecision. This mechanism, which we call temporal prophecy, is inspired by prophecy variables. Temporal prophecy refines an infinite-state system using first-order linear temporal logic formulas, via a suitable tableau construction. For a specific liveness-to-safety transformation based on first-order logic, we show that using temporal prophecy strictly increases the precision. Furthermore, temporal prophecy leads to robustness of the proof method, which is manifested by a cut elimination theorem. We integrate our approach into the Ivy deductive verification system, and show that it can handle challenging temporal verification examples.

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Oded Padon, Jochen Hoenicke, Kenneth L. McMillan, Andreas Podelski, Mooly Sagiv, Sharon Shoham. 2021-06-02. Temporal Prophecy for Proving Temporal Properties of Infinite-State Systems. https://arxiv.org/abs/2106.00966

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