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bartoszmilewski.com | ||
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rakhim.org
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| | | | | [AI summary] A summary of Bartosz Milewski's talk exploring the equivalence between type theory, logic, category theory, and computer science through concepts like composition, Curry-Howard isomorphism, and continuations. | |
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wimvanderbauwhede.codeberg.page
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| | | | | Algebraic data types are great for building complex data structures, and easy to implement in Raku using roles. | |
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kuruczgy.com
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| | | | | [AI summary] The article explores the intersection of functional programming and logic through the lens of dependent types. It begins with foundational concepts like type constructors and inductive types, then delves into the Curry-Howard isomorphism, which links programs to mathematical proofs. The discussion covers how types represent propositions, functions as implications, and inductive types as proof strategies. Examples include defining logical relations like less than or equal to and equality, and demonstrating how to prove properties like universal quantification and mathematical identities. The article concludes with an overview of resources for further study in proof assistants like Coq and Idris, emphasizing the practical applications of dependent... | |
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pavpanchekha.com
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