The semi-stable semantics for formal argumentation has been introduced as a way of approximating stable semantics in situations where no stable extensions exist. Semi-stable semantics can be located between stable semantics and preferred semantics in the sense that every stable extension is a semi-stable extension and every semi-stable extension is a preferred extension. Moreover, in situations where at least one stable extension exists, the semi-stable extensions are equal to the stable extensions. In this paper we provide an outline of an algorithm for computing the semi-stable extensions, given an argumentation framework. We show that with a few modifications, the algorithm can also be used for computing stable and preferred semantics.