Following the argumentation framework and semantics proposed by Dung, we are interested in the problem of deciding which set of acceptable arguments support the decision making in an agent-based platform called CARREL. It is an agent-agency which mediates organ transplants. We present two possible ways to infer the stable and preferred extensions of an argumentation framework, one in a declarative way using Answer Set Programming(ASP) and the other one in a procedure way. Key words Argumentation, Logic Programming, Answer Set Programming, Agents.