偏序偏好结构中相对似然度的定义
Defining Relative Likelihood in Partially-Ordered Preferential Structures
摘要：
从世界上的可能性或偏好顺序开始，我们以自然的方式将其扩展到世界集合上的可能性排序，并检查由此产生的逻辑。刘易斯早先在研究反事实的背景下考虑过这种相对似然性的概念，但他假设了世界上的总偏好顺序。当检查不存在于全序中的部分序时，会出现复杂情况。将世界上的秩序提升到世界集合上的秩序的确切方法有一些微妙之处。此外，在偏序的情况下，相对似然逻辑的公理化使我们深入了解相对似然和缺省推理之间的联系。
英文摘要：
Starting with a likelihood or preference order on worlds, we extend it to a likelihood ordering on sets of worlds in a natural way, and examine the resulting logic. Lewis earlier considered such a notion of relative likelihood in the context of studying counterfactuals, but he assumed a total preference order on worlds. Complications arise when examining partial orders that are not present for total orders. There are subtleties involving the exact approach to lifting the order on worlds to an order on sets of worlds. In addition, the axiomatization of the logic of relative likelihood in the case of partial orders gives insight into the connection between relative likelihood and default reasoning.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
