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Dynamic Epistemic Temporal Logic

机译:动态认知时间逻辑

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We introduce a new type of arrow in the update frames (or "action models") of Dynamic Epistemic Logic in a way that enables us to reason about epistemic temporal dynamics in multi-agent systems that need not be synchronous. Since van Benthem and Pacuit (later joined by Hoshi and Gerbrandy) showed that standard Dynamic Epistemic Logic necessarily satisfies synchronicity, it follows that our arrow type is a new way of extending the domain of applicability of the Dynamic Epistemic Logic approach. Furthermore, our framework provides a new perspective on the van Benthem et al work itself. In particular, while each of our work and their work shows that epistemic temporal models generated by standard update frames necessarily satisfy certain structural properties such as synchronicity, our work clarifies the way in which these structural properties arise as a result of the inherent structure of standard update frames themselves.
机译:我们在动态认知逻辑的更新框架(或“动作模型”)中引入了一种新型箭头,这种方式使我们能够推理不需要同步的多主体系统中的认知时间动态。由于van Benthem和Pacuit(后来由Hoshi和Gerbrandy加入)表明标准的动态认知逻辑必须满足同步性,因此我们的箭头类型是扩展动态认知逻辑方法的适用范围的新方法。此外,我们的框架为van Benthem等人的工作提供了新的视角。特别是,尽管我们的每项工作及其工作都表明,由标准更新框架生成的认知时间模型必须满足某些结构属性,例如同步性,但我们的工作却阐明了这些结构属性是标准的固有结构产生的方式自己更新框架。

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