Preferential Temporal Description Logics with Typicality and Weighted Knowledge Bases

In this paper we define an extension of a temporal description logic with a typicality operator, to allow for defeasible reasoning in a preferential temporal description logic. We show that a preferential extension of LTLAℒC with typicality can be polynomially encoded into LTLAℒC, and the approach allows borrowing some decidability and complexity results. We consider as well a multi-preferential temporal semantic for temporal weighted knowledge bases with typicality.