将知识、信念和肯定性逻辑从单个智能体扩展到多智能体系统,并且实现了多智能体系统中知识、信念和肯定性逻辑与具有并发动态属性的行为之间的很好结合.以此为基础,提出了多智能体系统中并发动态知识、信念和肯定性逻辑,简称CDKBC逻辑.为了对CDKBC逻辑进行解释,也给出了CDKBC模型,并且讨论了知识、信念和肯定性之间的关系,即知识蕴涵着肯定性,肯定性蕴涵着信念.文中也给出了一个相应的证明系统(即公理系统),证明了该系统是可靠的和完备的,并且证明了系统的有效性问题是EXPTIME完全的.最后论文给出了CDKBC逻辑的实例.
This paper extends the logic of Knowledge, Belief and Certainty (KBC) for one agent to that for multi-agent systems. It presents a Concurrent Dynamic logic of Knowledge, Belief and Certainty for MAS, which is called CDKBC logic, with a good combination between logic of KBC and action modalities that have concurrent and dynamic properties in multi-agent systems. Furthermore, a CDKBC model is given for interpreting this logic. The authors construct a CDKBC proof system for the logic and show the proof system is sound and complete, where the validity problem for the system will be proved to be EXPTIME-complete and give an application of the CDKBC logic.