19 citations · 74 across the 16 of their papers we have counts for
5 papers · 1 filter
The category of implicative algebras and realizability
Walter Ferrer, Octavio Malherbe
In this paper we continue with the algebraic study of Krivine's realizability, refining some of the authors' previous constructions by introducing two categories, with objects the…
Linear Hyperdoctrines and Comodules
Mariana Haim, Octavio Malherbe
In this exposition, we get examples of what is called a "linear hyperdoctrine", based on categories of comodules indexed by coalgebras. This structures can model first order linear…
Realizability in OCAs and AKSs
Walter Ferrer Santos, Mauricio Guillermo, Octavio Malherbe
In the context of the associated to an we introduce a closure operator and two associated maps that replace the closure and the maps defined in \c…
Ordered combinatory algebras and realizability
Walter Ferrer Santos, Jonas Frey, Mauricio Guillermo +2
We consider different classes of combinatory structures related to Krivine realizability. We show, in the precise sense that they give rise to the same class of triposes, that they…
A Report on Realizability
Walter Ferrer Santos, Mauricio Guillermo, Octavio Malherbe
Besides recalling the basic definitions of Realizability Lattices, Abstract Krivine Structures, Ordered Combinatory Algebras and Tripos and reviewing its relationships, we propose…