We provide a semantic characterization of AGM belief contraction based on frames consisting of a Kripke belief relation and a Stalnaker-Lewis selection function. The central idea is as follows. Let K be the initial belief set and K-A be the contraction of K by the formula A; then B belongs to the set K-A if and only if, at the actual state, the agent believes B and believes that if not-A is (were) the case then B is (would be) the case.
翻译:我们基于由Kripke信念关系和Stalnaker-Lewis选择函数构成的框架,提供了AGM信念收缩的语义刻画。核心思想如下:设K为初始信念集,K-A为K通过公式A进行收缩后的结果;则B属于K-A当且仅当,在实际状态下,主体相信B,并且相信若非A成立则B成立。