65 lines
4.4 KiB
Markdown
65 lines
4.4 KiB
Markdown
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[](https://heplean.github.io/HepLean/)
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[](https://heplean.github.io/HepLean/#how-to-get-involved)
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[](https://leanprover.zulipchat.com)
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[](https://heplean.github.io/HepLean/TODOList)
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[](https://heplean.github.io/HepLean/InformalGraph)
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[](https://github.com/leanprover/lean4/releases/tag/v4.12.0)
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A project to digitalize high energy physics.
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## Aims of this project
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1. Digitalize results (meaning calculations, definitions, and theorems) from high energy physics
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into Lean 4.
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2. Develop structures to aid the creation of new results in high energy physics using Lean,
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with the potential future use of AI.
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3. Create good documentation so that the project can be used for pedagogical purposes.
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## Areas of high energy physics with some coverage in HepLean
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[](https://heplean.github.io/HepLean/docs/HepLean/FlavorPhysics/CKMMatrix/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/StandardModel/HiggsBoson/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/BeyondTheStandardModel/TwoHDM/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/SpaceTime/LorentzGroup/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/AnomalyCancellation/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/FeynmanDiagrams/PhiFour/Basic.html)
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## Associated media and publications
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| | Description |
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|----|------|
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| [Paper](https://arxiv.org/abs/2405.08863) | HepLean: Digitalising high energy physics |
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| [Code](https://live.lean-lang.org/#code=import%20Mathlib.Tactic.Polyrith%20%0A%0Atheorem%20threeFamily%20(a%20b%20c%20%3A%20ℚ)%20(h%20%3A%20a%20%2B%20b%20%2B%20c%20%3D%200)%20(h3%20%3A%20a%20%5E%203%20%2B%20b%20%5E%203%20%2B%20c%20%5E%203%20%3D%200)%20%3A%20%0A%20%20%20%20a%20%3D%200%20∨%20b%20%3D%200%20∨%20c%20%3D%200%20%20%3A%3D%20by%20%0A%20%20have%20h1%20%3A%20c%20%3D%20-%20(a%20%2B%20b)%20%3A%3D%20by%20%0A%20%20%20%20linear_combination%20h%20%0A%20%20have%20h4%20%3A%20%203%20*%20a%20*%20b%20*%20c%20%3D%200%20%3A%3D%20by%20%0A%20%20%20%20rw%20%5B←%20h3%2C%20h1%5D%0A%20%20%20%20ring%20%0A%20%20simp%20at%20h4%20%0A%20%20exact%20or_assoc.mp%20h4%0A%20%20%0A) | Example code snippet |
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| [Video](https://www.youtube.com/watch?v=W2cObnopqas) | HepLean: Lean and high energy physics |
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| [Video](https://www.youtube.com/watch?v=IjodVUawTjM) | Index notation in Lean 4 |
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### Papers referencing HepLean
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- Hu, Jiewen, Thomas Zhu, and Sean Welleck. "miniCTX: Neural Theorem Proving with (Long-) Contexts." arXiv preprint arXiv:2408.03350 (2024).
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## Contributing
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We follow here roughly the same contribution policies as MathLib4 (which can be found [here](https://leanprover-community.github.io/contribute/index.html)).
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A guide to contributing can be found [here](https://github.com/HEPLean/HepLean/blob/master/CONTRIBUTING.md).
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If you want permission to create a pull-request for this repository contact Joseph Tooby-Smith on the lean Zulip, or email.
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## Installation
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### Installing Lean 4
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The installation instructions for Lean 4 are given here: https://leanprover-community.github.io/get_started.html.
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### Installing HepLean
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- Clone this repository (or download the repository as a Zip file)
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- Open a terminal at the top-level in the corresponding directory.
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- Run `lake exe cache get`. The command `lake` should have been installed when you installed Lean.
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- Run `lake build`.
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- Open the directory (not a single file) in Visual Studio Code (or another Lean compatible code editor).
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### Optional extras
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- [Lean Copilot](https://github.com/lean-dojo/LeanCopilot) allows the use of large language models in Lean.
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- [tryAtEachStep](https://github.com/dwrensha/tryAtEachStep) allows one to apply a tactic, e.g. `exact?` at each step of a lemma in a file to see if it completes the goal. This is useful for golfing proofs.
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