The Independence of the Continuum Hypothesis in Isabelle/ZF

 

Title: The Independence of the Continuum Hypothesis in Isabelle/ZF
Authors: Emmanuel Gunther (gunther /at/ famaf /dot/ unc /dot/ edu /dot/ ar), Miguel Pagano, Pedro Sánchez Terraf and Matías Steinberg (matias /dot/ steinberg /at/ mi /dot/ unc /dot/ edu /dot/ ar)
Submission date: 2022-03-06
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.
BibTeX:
@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   = mar,
  year    = 2022,
  note    = {\url{https://isa-afp.org/entries/Independence_CH.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Transitive_Models
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.