百时美施贵宝重新审视

Guillaume Aucher
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引用次数: 14

摘要

BMS逻辑框架(由Baltag, Moss和Solecki提出)的见解是通过Kripke模型来表示事件是如何被几个代理感知的,这与一个代理如何感知静态情况的方式非常相似。然而,认知模型(表示静态情况)和事件模型的定义之间存在一些差异。在本文中,我们恢复了对称性。与其他任何逻辑框架不同,由此产生的逻辑框架允许表达关于正在进行的事件的陈述,并为我们对事件(不仅是静态情况)的感知也可以因其他事件而更新这一事实建模。我们将其公理化,并证明其可决性。最后,我们证明了如果加入公共信念算子,它嵌入了BMS算子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
BMS revisited
The insight of the BMS logical framework (proposed by Baltag, Moss and Solecki) is to represent how an event is perceived by several agents very similarly to the way one represents how a static situation is perceived by them: by means of a Kripke model. There are however some differences between the definitions of an epistemic model (representing the static situation) and an event model. In this paper we restore the symmetry. The resulting logical framework allows, unlike any other one, to express statements about ongoing events and to model the fact that our perception of events (and not only of the static situation) can also be updated due to other events. We axiomatize it and prove its decidability. Finally, we show that it embeds the BMS one if we add common belief operators.
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