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math.LO2019★ 1 cited
First-order homotopical logic
Joseph Helfer
We introduce a homotopy-theoretic interpretation of intuitionistic first-order logic based on ideas from Homotopy Type Theory. We provide a categorical formulation of this interpre…
math.CT2019
Homotopies in Grothendieck fibrations
Joseph Helfer
We define a natural 2-categorical structure on the base category of a large class of Grothendieck fibrations. Given any model category , we apply this construction to a…