Formalization of Forcing in Isabelle/ZF

Published 27 Jan 2020 in cs.LO and math.LO | (2001.09715v2)

Abstract: 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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