论文标题

Isabelle/ZF强迫的形式化

Formalization of Forcing in Isabelle/ZF

论文作者

Gunther, Emmanuel, Pagano, Miguel, Terraf, Pedro Sánchez

论文摘要

我们在Isabelle/ZF的设定理论框架中进行强迫的理论形式化。在存在ZFC的可数及时模型的假设下,我们构建了适当的通用扩展,并表明后者也满足ZFC。在这样做的过程中,我们重塑了Paulson的ZF构建性库。

We formalize the theory of forcing in the set theory framework of Isabelle/ZF. Under the assumption of the existence of a countable transitive model of ZFC, we construct a proper generic extension and show that the latter also satisfies ZFC. In doing so, we remodularized Paulson's ZF-Constructibility library.

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