The Independence of the Continuum Hypothesis in Isabelle/ZF

Emmanuel Gunther 📧, Miguel Pagano 🌐, Pedro Sánchez Terraf 🌐 and Matías Steinberg 📧

March 6, 2022

Abstract

We redeveloped our formalization 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 proper generic extensions that satisfy the Continuum Hypothesis and its negation.

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BSD License

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Session Independence_CH

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@article{Independence_CH-AFP,
  author  = {Emmanuel Gunther and Miguel Pagano and Pedro Sánchez Terraf and Matías Steinberg},
  title   = {The Independence of the Continuum Hypothesis in Isabelle/ZF},
  journal = {Archive of Formal Proofs},
  month   = {March},
  year    = {2022},
  note    = {\url{https://isa-afp.org/entries/Independence_CH.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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