Abstract After Dung's founding work in Abstract Argumentation Frameworks there has been a growing interest in extending the Dung's semantics in order to describe more complex or real life situations. Several of these approaches take the direction of weighted or probabilistic extensions. One of the most prominent probabilistic approaches is that of constellation Probabilistic Abstract Argumentation Frameworks. In this paper, we first make the connection of possible worlds and constellation semantics; we then introduce the probabilistic attack normal form for the constellation semantics; we furthermore prove that the probabilistic attack normal form is sufficient to represent any Probabilistic Abstract Argumentation Framework of the constellation semantics; then we illustrate its connection with Probabilistic Logic Programming and briefly present an existing implementation. The paper continues by also discussing the probabilistic argument normal form for the constellation semantics and proves its equivalent properties. Finally, this paper introduces a new probabilistic structure for the constellation semantics, namely probabilistic cliques.

中文翻译：

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概率抽象论证框架，一种可能的世界观

摘要 在 Dung 在 Abstract Argumentation Frameworks 中的创立工作之后，人们对扩展 Dung 的语义以描述更复杂或更真实的生活情况越来越感兴趣。其中一些方法采用加权或概率扩展的方向。最突出的概率方法之一是星座概率抽象论证框架。在本文中，我们首先将可能世界与星座语义联系起来；然后我们引入了星座语义的概率攻击范式；我们进一步证明概率攻击范式足以表示星座语义的任何概率抽象论证框架；然后我们说明它与概率逻辑编程的联系并简要介绍一个现有的实现。该论文还讨论了星座语义的概率论据范式，并证明了它的等价性质。最后，本文为星座语义引入了一种新的概率结构，即概率团。