Abstract. This chapter considers the different temporal constructs appeared in the literature of temporal conceptual models (timestamping and evolution constraints), and it provides a coherent model-theoretic formalisation for them. It then introduces a correct and succinct encoding in a subset of first-order temporal logic, namely DLRUS – the description logic DLR extended with the temporal operators Since and Until. At the end, results on the complexity of reasoning in temporal conceptual models are presented.