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<p>The article introduces two modalities representing knowledge about the subjective and objective current moment of time. It provides formal semantics of these modalities, shows that the modalities are not definable through each other, and gives a sound and complete axiomatisation of their interplay. The axiomatisation contains an unusual Insertion inference rule generalising the Necessitation rule. The article proves that the Insertion rule is not derivable from the other axioms and inference rules.</p>

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An Epistemic Perspective on Subjective and Objective Time

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月13日

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  • Pavel Naumov,
  • Anshika Prajapati,
  • Jia Tao

摘要

The article introduces two modalities representing knowledge about the subjective and objective current moment of time. It provides formal semantics of these modalities, shows that the modalities are not definable through each other, and gives a sound and complete axiomatisation of their interplay. The axiomatisation contains an unusual Insertion inference rule generalising the Necessitation rule. The article proves that the Insertion rule is not derivable from the other axioms and inference rules.