Separating the Fan Theorem and its weakenings II.
JOURNAL OF SYMBOLIC LOGIC(2019)
摘要
Varieties of the Fan Theorem have recently been developed in reverse constructive mathematics, corresponding to different continuity principles. They form a natural implicational hierarchy. Earlier work showed all of these implications to be strict. Here we reprove one of the strictness results, using very different arguments. The technique used is a mixture of realizability, forcing in the guise of Heyting-valued models, and Kripke models.
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关键词
Fan theorems,Kripke models,forcing,Heyting-valued models,formal topology,recursive realizability
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