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arXiv · 1603.03621

Classical and Relative Realizability

Jaap van Oosten·Tingxiang Zou
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Abstract

We show that every abstract Krivine structure in the sense of Streicher can be obtained, up to equivalence of the resulting tripos, from a filtered opca (A,A') and a subobject of 1 in the relative realizability topos RT(A',A); the topos is always a Booleanization of a closed subtopos of RT(A',A). We exhibit a range of non-localic Boolean subtoposes of the Kleene-Vesley topos.

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Jaap van Oosten, Tingxiang Zou. 2016-03-11. Classical and Relative Realizability. https://arxiv.org/abs/1603.03621

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