1. Introduction
It is always an interesting problem for researchers to build the model of human cognition processes. Among theories on human cognition processes, the BDI theory (Belief, Desire and Intention) put forward by Michael Bratman has been accepted by many researchers. On the basis of Bratman's theory Anand Rao and Michael Georgeff established their BDI logic. Afterward, due to many researchers' endeavor, a family of BDI logics has come into being and merged with other logics such as dynamic logic and deontic logic[12] [13] [14] [15] [16] [17] [18].