We present a semantic framework for the deductive verification of hybrid systems with Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the style of differential dynamic logic modelled by flows or invariant sets for vector fields. We introduce the semantic foundations of our approach and summarise their Isabelle formalisation as well as the resulting verification components. A series of examples shows our approach at work.

中文翻译：

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混合系统的谓词变压器语义：Isabelle/HOL 的验证组件

我们提出了一个语义框架，用于使用 Isabelle/HOL 对混合系统进行演绎验证。它支持以流或向量场的不变集建模的微分动态逻辑风格对混合程序的时间演变进行推理。我们介绍了我们方法的语义基础，并总结了他们的 Isabelle 形式化以及由此产生的验证组件。一系列示例展示了我们的工作方法。