Formalization of Forcing in Isabelle/ZF

 

Title: Formalization of Forcing in Isabelle/ZF
Authors: Emmanuel Gunther (gunther /at/ famaf /dot/ unc /dot/ edu /dot/ ar), Miguel Pagano and Pedro Sánchez Terraf
Submission date: 2020-05-06
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.
BibTeX:
@article{Forcing-AFP,
  author  = {Emmanuel Gunther and Miguel Pagano and Pedro Sánchez Terraf},
  title   = {Formalization of Forcing in Isabelle/ZF},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2020,
  note    = {\url{http://isa-afp.org/entries/Forcing.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License