Ivar Rummelhoff

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In this paper the machinery and results developed in [Awodey et al, 2004] are extended to the study of constructive set theories. Specifically, we introduce two constructive set theories BCST and CST and prove that they are sound and complete with respect to models in categories with certain structure. Specifically, basic categories of classes and(More)
The polymorphic lambda-calculus can be modelled using PERs on a partial combi-natory algebra. We say that the type of natural numbers (polynat) is polymorphi-cally standard in such a model if the interpretation of the type only contains (the interpretations of) the Church numerals. We show that this is not always the case by constructing an explicit(More)
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