German modal or discourse particles make a contribution to the illocutionary force of an utterance. In this paper we integrate a model of belief sets held as part of the Common Ground into the Abstract Knowledge Representation (AKR) component of the German ParGram grammar. We follow recent accounts that divide the Common Ground into individual belief state sets for each of the discourse participants. We extend the existing German ParGram grammar to be able to parse (short) dialogs and to provide "pragmatic parsing" that integrates information about the belief state of discourse participants. Within this architecture, we provide an analysis of discourse particles that is theoretically well-motivated and can simultaneously be employed in an applied computational context.