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arXiv · 1007.0825

Realizability algebras II : new models of ZF + DC

Jean-Louis Krivine
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Abstract

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.

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BibTeXRIS

Jean-Louis Krivine. 2010-07-06. Realizability algebras II : new models of ZF + DC. https://doi.org/10.2168/lmcs-8(1:10)2012

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