Towards Constraints Handling by Conflict Tolerance in Abstract Argumentation Frameworks

In this paper we incorporate integrity constraints in Dung-style abstract argumentation frameworks. We show that even for constraints of a very simple form standard conflict-free semantics for argumentation frameworks are not adequate, as conflicts among arguments should sometimes be accepted and tolerated. For this, we use conflict-tolerant semantics and show how corresponding extensions may be represented in terms of propositional formulas.