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Quasitopoi and universes of propositions

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If you have a question about this talk, please contact Benedikt Ahrens.

There is a strong connection between models of type theory with a “static” universe of propositions and quasitopoi. In my talk, I will explore part of this connection by showing that a finitely complete category with a “universe of propositions” closed under existential quantification has a strong subobject classifier. This is in contrast to systems based on HoTT, where the principle of unique choice holds, and therefore propositions correspond to general subojects.

This talk is part of the Theoretical computer science seminar series.

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