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The lambda calculus as an initial monad

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We will see how untyped lambda-calculus can be seen in category theory as a functor which is the initial object of the category of exponential monads. One can also do a very similar work with simply-typed lambda calculus. Every concept will be defined during the talk. This talk is based on the article from Julianna Szido called ‘Le lambda calcul vu comme monade initiale’.

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

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