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| | particularvirtue.blogspot.com
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| | Algebraic data types are a fantastic way to make code clearer. They're used all the time in Haskell, because they're a fundamental part of t...
| | www.baturin.org
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| | [AI summary] This blog post tutorial explains advanced OCaml programming concepts including parametric polymorphism, higher-order functions like combinators and composition, and algebraic data types with pattern matching.
| | 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...
| | jdh.hamkins.org
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| Philosophy of Mathematics, Exam Paper 122, Oxford University Wednesdays 12-1 during term, Radcliffe Humanities Lecture Room Joel David Hamkins, Professor of Logic Lucy, Charles - Personifications o...