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Emily Pillmore

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Type Arithmetic and the Yoneda LemmaScala World 20192019-09-11
Type signatures get counted and proven equal to set cardinalities using category theory and code: natural transformations, Yoneda lemma, and representable…
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Isomorphic Reasoning: Counting with Types Part 1LambdaConf 20192019-06-05
Claim: parametric polymorphism gives a hidden type arithmetic that lets one compute exact inhabitant counts (e.g. ∀a. a→a is unique, function types count as…
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Isomorphic Reasoning: Counting with Types Part 2LambdaConf 20192019-06-05
This is a 3 video talk; Please see: Part 1: https://youtu.be/ApHFidwNypE Part 3: https://youtu.be/kKZTd7D33KY *We are aware of the sound issue for parts 2 and…
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Isomorphic Reasoning: Counting with Types Part 3LambdaConf 20192019-06-05
This is a 3 video talk; Please see: Part 1: https://youtu.be/ApHFidwNypE Part 2: https://youtu.be/UScWv37aJhY *We are aware of the sound issue for parts 2 and…
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A Categorical View of Adjunctions, Free Constructions, and Profunctor OpticsLambdaConf 20192019-06-05
Adjunctions become the practical tool for deriving universal properties and free constructions (lists, free monoids, free groups) by exhibiting explicit…
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