Abstraction In Model Checking Real-Time Temporal Logic of Knowledge

Model checking in real-time temporal logic of knowledge TACTLK confronts the same challenge as in traditional model checking, that is the state space explosion problem. In order to alleviate this problem, we present our abstraction techniques. For the real time part of TACTLK, that is TACTL, we adopt the abstract discrete clock valuations, and in this way the infinite state space of a real time interpreted system can be converted into a finite form. For the epistemic operator K in TACTLK, the definition of epistemic equivalent to an agent between abstract states is given, therefore, the corresponding equivalent relations can be deduced and which can be used to combine the abstract states, as a result, the state space of the real time interpreted system can be further simplified. Finally, we adopt a variant of the standard railroad crossing system to illustrate the effectiveness of our abstraction techniques.