NDLI: Realizability algebras III: some examples

Content Provider	Scilit
Author	Krivine, Jean-Louis
Copyright Year	2016
Description	We use the technique of “classical realizability” to build new models of ZF + DC in which R is not well ordered. This gives new relative consistency results, which are not obtainable by forcing. This gives also a new method to get programs from proofs of arithmetical formulas with dependent choice.
Related Links	http://arxiv.org/pdf/1210.5065 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/09A7FECCD5DBB4F51AB4D920624CD202/S0960129516000050a.pdf/div-class-title-realizability-algebras-iii-some-examples-div.pdf
Ending Page	76
Page Count	32
Starting Page	45
ISSN	09601295
e-ISSN	14698072
DOI	10.1017/s0960129516000050
Journal	Mathematical Structures in Computer Science
Issue Number	1
Volume Number	28
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2018-01-01
Access Restriction	Open
Subject Keyword	Mathematical Structures in Computer Science
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science Applications

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Realizability algebras III: some examples