Realizability in OCAs and AKSs

Abstract

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

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