Argumentation framework

In artificial intelligence and related fields, an argumentation framework is a way to deal with contentious information and draw conclusions from it using formalized arguments.

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, an argumentation framework is represented 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

Formal framework

Abstract argumentation frameworks, also called argumentation frameworks à la Dung, are defined formally as a pair:

• A set of abstract elements called arguments, denoted $$

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Source: Wikipedia