from Part I - The category of polynomial functors
Published online by Cambridge University Press: aN Invalid Date NaN
We define the category of polynomial functors by introducing its morphisms, called dependent lenses or lenses for short, and we show how they model interaction protocols. We introduce several methods for working with these lenses, including visual tools such as corolla forests and polybox pictures. We explain how these lenses represent bidirectional communication between polynomials and describe how they compose. By the end of the chapter, readers will have a comprehensive understanding of how polynomial functors and their morphisms can be used to model complex interactive behaviors.
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