The theory of apartness spaces, and their relation to topological spaces (in the point--set case) and uniform spaces (in the set--set case), is sketched. New notions of local decom...
Douglas S. Bridges, Peter Schuster, Luminita V&ici...
In this paper it is shown that the intuitionistic fixed point theory ID i (strict) for times iterated fixed points of strictly positive operator forms is conservative for negativ...
Abstract. We investigate the set theoretical strength of some properties of normality, including Urysohn’s Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions o...
Paul E. Howard, Kyriakos Keremedis, Herman Rubin, ...
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Let R be the preorder of embeddability between countable linear orders colored with elements of Rado’s partial order (a standard example of a wqo which is not a bqo). We show tha...