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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. |
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