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Cartesian closed bicategories: type theory and coherence
[article]

2020
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arXiv
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pre-print

In this thesis I lift the Curry--Howard--Lambek correspondence between the simply-typed lambda calculus and cartesian closed categories to the bicategorical setting, then use the resulting type theory to prove a coherence result for cartesian closed bicategories. Cartesian closed bicategories---2-categories 'up to isomorphism' equipped with similarly weak products and exponentials---arise in logic, categorical algebra, and game semantics. I show that there is at most one 2-cell between any

arXiv:2007.00624v1
fatcat:lz5ssbkjdjamrdojhml7q3k65y