An approach for encoding abstract dialectical frameworks and their semantics into classical higher-order logic is presented. Important properties and semantic relationships are formally encoded and proven using the proof assistant Isabelle/HOL. This approach allows for the computer-assisted analysis of abstract dialectical frameworks using automated and interactive reasoning tools within a uniform logic environment. Exemplary applications include the formal analysis and verification of meta-theoretical properties, and the generation of interpretations and extensions under specific semantic constraints.

翻译：提出了一种将抽象辩证框架及其语义编码为经典高阶逻辑的方法。重要属性与语义关系被形式化编码，并通过证明助手Isabelle/HOL进行验证。该方法允许在统一的逻辑环境中，借助自动化与交互式推理工具，对抽象辩证框架进行计算机辅助分析。典型应用包括元理论属性的形式化分析与验证，以及在特定语义约束下生成解释与扩展。