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Categorical gluing and logical relations

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Logical relations are a powerful technique to prove results of consistency, conservativity and all sort of properties of programming languages. The technique is very general, but can sometimes be a bit cumbersome in practice. It has a categorical counterpart, sconing, which was first used by Freyd. Sconing is a special case of a general gluing construction, first introduced by Artin for toposes. In this seminar I will introduce logical relations and show some examples. Then I’ll talk about a simple case of gluing, and how sconing bridges the gap.

This talk is part of the Logic & Semantics for Dummies series.

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