Abstract. We initiate a purely algebraic study of Ehrhard and Regnier’s resource λ-calculus, by introducing three equational classes of algebras: resource combinatory algebras, ...
In this note, we prove that having unique head-normal forms is a sufficient condition on partial combinatory algebras to be completable. As application,we show that the pca of str...
In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebr...
We introduce an algebraic model of computation which is especially useful for the description of computations in analysis. On one level the model allows the representation of alge...
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...