Bartosz Milewski 7/19/2026

Profunctor Optics

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This article delves into the concept of Profunctor Optics, using Tannakian Reconstruction as a tool to simplify composition in category theory. It explains how optics, such as lenses, can be represented via coends and Tambara modules, enabling more straightforward composition rules in programming languages like Haskell. The discussion covers the equivalence between presheaves on optics and Tambara modules, providing a deep technical insight for those interested in functional programming, category theory, and advanced type-level abstractions.

Profunctor Optics

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