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comonad.com | ||
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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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justinhj.github.io
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| | | | | What's in this post? | |
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bartoszmilewski.com
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| | | | | This is part 13 of Categories for Programmers. Previously: Limits and Colimits. See the Table of Contents. Monoids are an important concept in both category theory and in programming. Categories correspond to strongly typed languages, monoids to untyped languages. That's because in a monoid you can compose any two arrows, just as in an untyped... | |
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lexi-lambda.github.io
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| | | [AI summary] This article is a comprehensive exploration of Haskell programming, covering its strengths, challenges, and the author's personal reflections on the language and its community. The piece delves into topics such as Haskell's type system, effect systems, and the use of libraries like lens and Text. It also addresses broader issues like the community's debates, the role of Haskell in modern software development, and the importance of type safety and abstraction in programming. The author reflects on their journey with Haskell, emphasizing the language's ability to challenge and inspire while acknowledging its imperfections. The conclusion highlights the significance of Haskell in the design space of programming languages and the author's commitment... | ||
