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

机译:使用s5中的下一步时间运算符表征完美的回忆   和亚s5认知时间逻辑

摘要

We review the notion of perfect recall in the literature on interpretedsystems, game theory, and epistemic logic. In the context of Epistemic TemporalLogic (ETL), we give a (to our knowledge) novel frame condition for perfectrecall, which is local and can straightforwardly be translated to a definingformula in a language that only has next-step temporal operators. This framecondition also gives rise to a complete axiomatization for S5 ETL frames withperfect recall. We then consider how to extend and consolidate the notion ofperfect recall in sub-S5 settings, where the various notions discussed are nolonger equivalent.
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美回忆的概念。在Epitempmic TemporalLogic(ETL)的上下文中,我们(据我们所知)为PerfectRecall提供了一个新颖的框架条件,该条件是局部的,可以直接将其翻译成定义式,而该语言只有下一步的时间运算符。此框架条件还导致对S5 ETL框架进行完全公理化,并具有完美的召回率。然后,我们考虑如何在sub-S5设置中扩展和巩固完美召回的概念,在此,讨论的各种概念不再等效。

著录项

  • 作者

    Witzel, Andreas;

  • 作者单位
  • 年度 2011
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
  • 中图分类

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