Model Checking for Real-Time Temporal, Cooperation and Epistemic Properties

In this paper, we introduce a real-time temporal knowledge logic, called RTKL, which is a combination of real-time temporal logic and knowledge logic. It is showed that temporal modalities such as “always in an interval”, “until in an interval”, and knowledge modalities such as “knowledge in an interval” and “common knowledge in an interval” can be expressed in such a logic. The model checking algorithm is given. Furthermore, we add cooperation modalities to RTKL and get a new logic RATKL, which can express not only real-time temporal and epistemic properties but also cooperation properties. The model checking algorithm for RATKL is also given.