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The definition of the satisfaction relation between models and sentences in \(\mathcal {F}\mathcal {O}\mathcal {L}\) was a two-layered process. At the base level, we have defined the satisfaction of atomic sentences. Then we performed an induction step on the structure of the sentences. This Tarskian process of determining the actual satisfaction between models and sentences is a common pattern for a multitude of concrete institutions.

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Internal Logic

  • 章节

  • 发表日期：

    2025年

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  • Răzvan Diaconescu

摘要

The definition of the satisfaction relation between models and sentences in \(\mathcal {F}\mathcal {O}\mathcal {L}\) was a two-layered process. At the base level, we have defined the satisfaction of atomic sentences. Then we performed an induction step on the structure of the sentences. This Tarskian process of determining the actual satisfaction between models and sentences is a common pattern for a multitude of concrete institutions.