What do you mean by "what do you mean"?: A formal representation and its dynamic semantics of meta-expressions in conversations

This paper investigates dynamic semantics of conversations from the point of view of semantical closedness, presuppositions and shared belief/common knowledge updates, by analysing the meta-expression "what do you mean (by X)?" into three major usages: semantic repair initiation, intentional repair initiation, and inferential repair initiation, since these three usages are deeply related to three types of semantical closedness: closedness of denotations, closedness of intention and closedness of inference of conversations. As a result, the proposed dynamic semantics of conversations is semantically closed in terms of shared beliefs of the conversants.