Based on a (total) pre-order on a set, we axiomatize the Egli-Milner order on the power set and show how it is related to the Lewis order. Moreover, we consider a strict version of the Egli-Milner order and show how it can be related to the semantics of conditionals based on a priority structure.

中文翻译：

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凸阶逻辑

基于集合上的（总）预排序，我们公理化幂集上的Egli-Milner阶，并显示其与Lewis阶的关系。此外，我们考虑了Egli-Milner顺序的严格版本，并显示了它如何与基于优先级结构的条件语义相关联。