We study expressive power of continuous logic in classes of metric groups defined by properties of their actions. We concentrate on unbounded continuous actions on metric spaces. For example, we consider the properties non-OB, non-FH and non-FR.

中文翻译：

---

指标组的无界动作和连续逻辑

我们研究连续逻辑在由其动作属性定义的度量组类中的表达能力。我们专注于度量空间上的无限连续动作。例如，我们考虑非OB、非FH 和非FR的属性。