Mario Román


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Motivating normalization of splice

Last updated Sep 8, 2023


Unnormalized monoidal spliced arrows introduce a lot of unnecessary bureaucracy around the units: we need to track whether a hole is tensored or composed with morphisms. As a result, single-hole expressions may have multiple types, which was not true for spliced arrows.

The situation is even worse in symmetric monoidal categories: we do not want to track whether a wire crosses to the left or to the right of a hole.

Tags: produoidal normalization, Monoidal contexts.