Realizability algebras II : new models of ZF + DC

Jean-Louis Krivine

doi:10.2168/LMCS-8(1:10)2012

Jean-Louis Krivine - Realizability algebras II : new models of ZF + DC

lmcs:1072 - Logical Methods in Computer Science, February 27, 2012, Volume 8, Issue 1 - https://doi.org/10.2168/LMCS-8(1:10)2012

Realizability algebras II : new models of ZF + DCArticle

Authors: Jean-Louis Krivine

Using the proof-program (Curry-Howard) correspondence, we give a new method to obtain models of ZF and relative consistency results in set theory. We show the relative consistency of ZF + DC + there exists a sequence of subsets of R the cardinals of which are strictly decreasing + other similar properties of R. These results seem not to have been previously obtained by forcing.

https://doi.org/10.2168/LMCS-8(1:10)2012

Source: arXiv.org:1007.0825

Volume: Volume 8, Issue 1

Published on: February 27, 2012

Imported on: August 24, 2010

Keywords: Mathematics - Logic,Computer Science - Logic in Computer Science,F.4.1

Licence: arXiv.org - Non-exclusive license to distribute

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Mathematics Subject Classification 2020¹

Sources:

[1] zbMATH Open.

Bibliographic References

14 Documents citing this article

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