Question processing is a frequently discussed topic in Natural Language Processing, in particular for chatbots or question and answer systems. However, it is difficult to have a logical representation of questions that can be used in these tasks, let alone automatically produced. We present a compositional method for logically computing the semantic representations of wh-questions. We use compositional Neo-Davidsonian Event Semantics as presented in [10] with thematic roles, joined with Inquisitive Semantics [14]. We implement our encoding using the Abstract Categorial Grammars framework [23]. Our model results in an operationalized view of wh-questions and inquisitive existentials which we illustrate on several examples of wh-questions including who, which and where.