Multi-agent Belief, Goal and Exceptions Reasoning

Temporal logics are often adopted as basic tools to specifying mental states such as belief and goal of agents. Althoush there are works on non-monotonic extension of linear temporal logic (LTL) and branching time temporal logic (CTL), the non-monotonic extension of alternating-time temporal logic (ATL) which is an important kind of multi-agent cooperation logics has not been discussed yet in literature. To solve this problem, this paper proposed non-monotonic alternating-time temporal logic with belief and goal, namely N-ATL-BG, to facilitate the non-monotonic reasoning of mental states of agents. The semantic model, syntax and semantics of this new logic are developed. A model checking algorithm which can be finished in polynomial time is proposed for this new logic. Examples are given to show its usage.