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The Gödel fibration

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If you have a question about this talk, please contact José Siqueira.

In this talk, I will introduce the notion of Gödel fibration, which is a fibration categorically embodying both the logical principles of traditional Skolemization and the existence of a prenex normal form presentation for every formula, and I will explain how this notion is related to the Dialectica construction. In particular, building up from Hofstra’s earlier fibrational characterization of de Paiva’s categorical Dialectica construction, I will show that a fibration is an instance of the Dialectica construction if and only if it is a Gödel fibration. This result establishes an intrinsic presentation of the Dialectica fibration, contributing to the understanding of the Dialectica construction itself and of its properties from a logical perspective. (Joint work with Matteo Spadetto and Valeria de Paiva)

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This talk is part of the Category Theory Seminar series.

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