Argumentation framework

In artificial intelligence and related fields, an argumentation framework, or argumentation system, is a way to deal with contentious information and draw conclusions from it. In artificial intelligence and related fields, an argumentation framework, or argumentation system, is a way to deal with contentious information and draw conclusions from it. In an abstract argumentation framework, entry-level information is a set of abstract arguments that, for instance, represent data or a proposition. Conflicts between arguments are represented by a binary relation on the set of arguments. In concrete terms, you represent an argumentation framework with a directed graph such that the nodes are the arguments, and the arrows represent the attack relation.There exist some extensions of the Dung's framework, like the logic-based argumentation frameworks or the value-based argumentation frameworks. Abstract argumentation frameworks, also called argumentation frameworks à la Dung, are defined formally as a pair: For instance, the argumentation system S = ⟨ A , R ⟩ {displaystyle S=langle A,R angle } with A = { a , b , c , d } {displaystyle A={a,b,c,d}} and R = { ( a , b ) , ( b , c ) , ( d , c ) } {displaystyle R={(a,b),(b,c),(d,c)}} contains four arguments ( a , b , c {displaystyle a,b,c} and d {displaystyle d} ) and three attacks ( a {displaystyle a} attacks b {displaystyle b} , b {displaystyle b} attacks c {displaystyle c} and d {displaystyle d} attacks c {displaystyle c} ).