Normal Forms and

In this paper we present a framework for the combination of modal and temporal logic. This framework allows us to combine diier-ent normal forms, in particular, a separated normal form for temporal logic and a rst-order clausal form for modal logics. The calculus of the framework consists of temporal resolution rules and standard rst-order resolution rules. We show that the calculus provides a sound, complete, and terminating inference systems for arbitrary combinations of subsystems of multi-modal S5 with linear, temporal logic.