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The Sierpinski Object in the Scott Realizability Topos

We study the Sierpinski object $\Sigma$ in the realizability topos based on Scott's graph model of the $\lambda$-calculus. Our starting observation is that the object of realizers in this topos is the exponential $\Sigma ^N$, where $N$ is the natural numbers object. We define order-discrete objects...

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Autors principals: Tom de Jong, Jaap van Oosten
Format: Artigo
Idioma:Inglês
Publicat: Logical Methods in Computer Science e.V. 2020-08-01
Col·lecció:Logical Methods in Computer Science
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Accés en línia:https://lmcs.episciences.org/5416/pdf
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