Abstract
Werner's set-theoretical model is one of the simplest models of CCω. It combines a functional view of predicative universes with a collapsed view of the impredicative sort Prop. However this model of Prop is so coarse that the principle of excluded middle P ∨ ¬ P holds. In this paper, we interpret Prop into a topological space (a special case of Heyting algebra) to make it more intuitionistic without sacrificing simplicity. We prove soundness and show some applications of our model.
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