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adam.chlipala.net
| | bartoszmilewski.com
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| | This is part 9 of Categories for Programmers. Previously: Functoriality. See the Table of Contents. So far I've been glossing over the meaning of function types. A function type is different from other types. Take Integer, for instance: It's just a set of integers. Bool is a two element set. But a function type a->b...
| | 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...
| | math.andrej.com
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| | fsharpforfunandprofit.com
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| [AI summary] The article argues that F# is the best enterprise language due to its suitability for enterprise development's constraints and demands, such as long project lifecycles, maintenance, and stability. It highlights the importance of static typing, immutability, and functional programming principles in enhancing productivity and maintainability. The author also discusses the challenges of adopting new technologies in enterprises and evaluates various languages like Java, C#, Kotlin, and TypeScript, ultimately favoring F# for its comprehensive support and functional-first approach.