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arXiv · 1512.07879

Realizability in OCAs and AKSs

Walter Ferrer Santos·Mauricio Guillermo·Octavio Malherbe
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Abstract

In the context of the $\mathcal{OCA}$ associated to an ${\mathcal{AKS}}$ we introduce a closure operator and two associated maps that replace the closure and the maps defined in \cite{kn:ocar}. We were motivated by the search of a full adjunction to the original implication map. We show that all the constructions from $\mathcal{OCA}$s to triposes developped in \cite{kn:ocar} can be also implemented in the new situation.

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Walter Ferrer Santos, Mauricio Guillermo, Octavio Malherbe. 2015-12-24. Realizability in OCAs and AKSs. https://arxiv.org/abs/1512.07879

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