Argumentation became an important research topic for computer science and in particular in Artificial Intelligence. In this field Dung introduced the landmark work of 'abstract argumentation frameworks' which inspired many generalisations of this concept. Among them, GRAPPA is a very recent development and is one of the most general frameworks. The key-features of GRAPPA are, that the argumentation is based on a labeled graph and a very powerful pattern language, which includes aggregate-functions, to specifyacceptance conditions for statements based on the labels of the incoming edges. So far, there are no tools to evaluate GRAPPA-instances available. Therefore, the main goal of this work is to provide an evaluation system for GRAPPA. This system consistsof two parts, namely Answer Set Programming (ASP)-encodings to evaluate GRAPPA-instances and GrappaVis. GrappaVis is a graphical tool to specify GRAPPA-instances, to evaluate them (making use of the ASP-encodings) and visualize the results of theevaluation. Regarding the ASP-encodings, two different approaches are presented, namely the staticand dynamic encoding to evaluate GRAPPA-instances. The static approach is the 'classical' one, which corresponds to considerations based on data complexity, where one (static) program handles all GRAPPA-instances. On the other hand, the dynamic approach, which corresponds to considerations based on combined complexity, i. e. the encoding is not fixed, but dynamically generated for each GRAPPA-instance. As shown in this work this approach allows to express evaluation methods which are not expressible in the static approach. Finally, performance results for the different ASP-encodings are presented.