以目的与背景知识为双条件的逻辑AKC

Conditional Logic with Double Conditions for Aim and Background Knowledge AKC

首先,我们构造以目的和背景知识为双条件的条件句系统AKC,给出它的一些证明论结果。其次,我们引入有序邻域语义,给出描述AKC的特征公理和推理规则的框架条件,证明AKC相对这些框架条件是框架可靠的。最后,我们证明AKC相对这些框架条件也是框架完全的。

Firstly, we construct the conditional system AKC with double conditions for aim and background knowledge, give some results of its proof theory. Secondly, we introduce the order neighborhood semantics, give the frame conditions of the character axioms and inference rules of AKC, prove the frame soundness of AKC with respect to the frame conditions. Finally, we prove the frame completeness of AKC with respect to the frame conditions as well.