Abstract dialectical frameworks (ADFs) have been introduced as a formalism for modeling and evaluating argumentation allowing general logical satisfaction conditions. Different criteria used to settle the acceptance of arguments are called semantics. Semantics of ADFs have so far mainly been defined based on the concept of admissibility. However, the notion of strongly admissible semantics studied for abstract argumentation frameworks has not yet been introduced for ADFs. In the current work we present the concept of strong admissibility of interpretations for ADFs. Further, we show that strongly admissible interpretations of ADFs form a lattice with the grounded interpretation as top element.

翻译：抽象辩证框架(ADFs)被引入为建模和评估允许一般逻辑满足条件的论证的一种形式主义,用于解决接受论据的不同标准称为语义学,迄今为止,ADFs的语义主要根据可接受性概念来界定,然而,为抽象论证框架研究的强烈可接受语义概念尚未为ADFs引入。在目前的工作中,我们提出了对ADFs解释的强烈可接受性概念。此外,我们表明,对ADFs 的强烈可接受解释形成了一个以有根据的解释为顶点的空格。