Abstract: Argumentation framework is the foundation of computer using debate mechanism to solve some practical problems,such as business negotiations,legal disputes and labor disputes. The traditional frameworks provide a formal description of debate mechanism and reasoning methods, but ignore the description of debate subjects and their influence on the result in a debate, and in the process of a debate an argument usually requires joint demonstration of multiple arguments. To focus on those observations, we first introduced the concept of debate subject and provided a formal description of joint demonstration among the arguments. }hhen a union argumentation framework based on subject trust worthiness(STUAF) was proposed on the basis of traditional frameworks, the fundamental lemma and some basic resups showed by Dung's argumentation framework were also hold for STUAF. Finally, the algorithm for semantic calculation was presented by combining dispute tree. Our experimental analysis and results show that STUAF and the corresponding algorithm are effective.

Key words: Argument,Subject trustworthiness,Joint demonstration,Argumentation framework