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Logical relations

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The technique of logical relations is a powerful technique for proving meta-theorems about type theories. In the original form it was used to prove normalization results. It can also be used to prove results about the existence and disjunction properties of constructive logics, the canonicity of terms of recursive types, and the parametricity of polymorphism. I shall show how these syntactic arguments admit nice interpretations as constructions on the categorical models of a theory.

This talk is part of the Junior Category Theory Seminar series.

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