(Maher 2012) introduced an approach for relative expressiveness of defeasible logics, and two notions of relative expressiveness were investigated. Using the first of these definitions of relative expressiveness, we show that all the defeasible logics in the DL framework are equally expressive under this formulation of relative expressiveness. The second formulation of relative expressiveness is stronger than the first. However, we show that logics incorporating individual defeat are equally expressive as the corresponding logics with team defeat. Thus the only differences in expressiveness of logics in DL arise from differences in how ambiguity is handled. This completes the study of relative expressiveness in DL begun in \cite{Maher12}.
翻译:(Maher 2012 ) 引入了一种相对直观的不可行逻辑和两个相对直观的概念。 我们使用这些相对直观性定义的第一个定义, 显示DL框架中的所有不可行的逻辑在相对直观性这一表述下都具有同等的表达性。 相对直观性的第二个表述比第一个更强。 然而, 我们显示, 包含个人失败的逻辑与团队失败的相应逻辑一样具有同等的直观性。 因此, DL 中逻辑的直观性之所以存在差异,是因为处理模棱两可性的方式不同。 这完成了在\ cite{Maher12} 中开始的对DL 相对直观性的研究 。