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kuruczgy.com | ||
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adam.chlipala.net
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| | | | | [AI summary] This text provides an in-depth exploration of advanced Coq proof techniques, focusing on manual proofs, recursion, and induction principles for complex data structures. It covers topics like nested inductive types, custom induction principles, and the design philosophy behind Coq's approach to proof automation. The text includes detailed examples of proof scripts, such as manual proofs for discrimination and injectivity of constructors, and discusses the use of tactics like discriminate and injection. It also touches on the implementation of functions like pred and the role of hints in improving proof readability and automation. | |
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bartoszmilewski.com
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| | | | | This is part of the book Category Theory for Programmers. The previous instalment was Category: The Essence of Composition. See the Table of Contents. The category of types and functions plays an important role in programming, so let's talk about what types are and why we need them. Who Needs Types? There seems to be... | |
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degoes.net
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| | | | | Functional programming has a bit of jargon, but that doesn't have to stop you from understanding core concepts | |
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abhinavomprakash.com
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| | | Defining recursion in terms of itself is an old joke among programmers. Despite the fact that it frustrates a lot of new-comers, we don't change it. I like to define recursion as "Iteration for the cool kids". I don't mean this in a snobbish, let-us-exclude-the-for-loopers kinda way, but rather in a tone of appreciation. Recursion is an elegant way of doing things. Recursive alogrithms are concise, have less noise and have immutability baked in (always a plus). | ||
