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Characterizing perfect recall using next-step temporal operators in S5 Epistemic Temporal Logic

机译:在S5认知时间逻辑中使用下一步时间运算符表征完美召回

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摘要

We review the notion of perfect recall in the literature on interpreted systems, game theory and epistemic logic. In the context of Epistemic Temporal Logic (ETL), we give a (to our knowledge) novel frame condition for perfect recall. In contrast to existing characterizations, it is local in a sense which allows it to straightforwardly be translated into a defining formula in a language that only has next-step temporal operators. This frame condition also gives rise to a complete axiomatization of perfect recall in S5 ETL.
机译:我们回顾了关于解释系统,博弈论和认知逻辑的文献中的完全回忆的概念。在认知时态逻辑(ETL)的背景下,我们(据我们所知)给出了一种新颖的框架条件,以实现完美召回。与现有特征相反,它是局部的,从某种意义上讲,它可以用仅具有下一步时间运算符的语言将其直接翻译为定义公式。这种框架条件还引起了S5 ETL中完全召回的完全公理化。

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