基于四值语义的缺省逻辑  

Default Logic Based on Four Valued Semantics

作　　者：岳安步[1] 林作铨[1] 

机构地区：[1]北京大学信息科学系,北京100871

出　　处：《计算机学报》2005年第9期1447-1458,共12页Chinese Journal of Computers

基　　金：国家自然科学基金(60373002;60496322);国家"九七三"重点基础研究发展基金(2004CB318000)资助

摘　　要：基于公式变换,给出一组缺省理论的变换方法,将命题语言L中的缺省理论变换到对应的命题语言L+中,保证了所得到的缺省理论的所有扩张均不平凡,并通过一种弱变换可同时保证缺省扩张的存在性.为缺省理论定义了各种四值模型,使得缺省逻辑具有非单调超协调推理能力,并证明了L+中的缺省扩张与L中缺省理论的四值模型之间具有一一对应关系.四值模型描述了公式变换的语义,基于四值语义的缺省推理通过缺省理论的变换技术能在标准的缺省逻辑中实现.By the formula transformations, a set of transformations for a default theory is provided. The default theory in a propositional language L is transformed into the corresponding language L^-＋ , and thus all the extensions of the transformed default theory are non-trivial. A weak transformation of default theory is also given to ensure the existence of the default extensions. The various four-valued models are defined for default theories such that the default logic has the ability of nonmonotonic paraconsistent reasoning. It is proved that there is a one-to-one relationship between the extensions of L^-＋ and the four-valued models of default theory of L. The fourvalued models describe semantics for the formula transformations. The default reasoning based on four valued semantics can be computed in the context of standard default logic by the transformation technique of default theories.

关 键 词：缺省逻辑 四值逻辑 非单调逻辑 超协调逻辑 非单调超协调逻辑 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]