HepLean: Digitalising high energy physics
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Abstract (arXiv)
We introduce HepLean, an open-source project to digitalise definitions, theorems, proofs, and calculations in high energy physics using the interactive theorem prover Lean 4. HepLean has the potential to benefit the high energy physics community in four ways: making it easier to find existing results, allowing the creation of new results using artificial intelligence and automated methods, allowing easy review of papers for mathematical correctness, and providing new ways to teach high energy physics. We will discuss these in detail. We will also demonstrate the digitalisation of three areas of high energy physics in HepLean: Cabibbo-Kobayashi-Maskawa matrices in flavour physics, local anomaly cancellation, and Higgs physics.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 May 2024.
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Citing papers per year: 2024: 1; 2025: 3; 2026: 6.
10 papers.
- 2024miniCTX: Neural Theorem Proving with (Long-)Contextscited by 35
- 2026A Minimal Agent for Automated Theorem Provingcited by 13
- 2025Lean4Physics: Comprehensive Reasoning Framework for College-level Physics in Lean4cited by 5
- 2025Formalized Hopfield Networks and Boltzmann Machinescited by 2
- 2026Lean Atlas: An Integrated Proof Environment for Scalable Human-AI Collaborative Formalizationcited by 1
- 2025A Community-driven vision for a new Knowledge Resource for AIcited by 0
- 2026ImProver 2: Iteratively Self-Improving LMs for Neurosymbolic Proof Optimizationcited by 0
- 2026DualityCert: Verifier-Gated Language-Model Repair of Broken Duality Claims in Quantum Field Theorycited by 0
- 2026AxQM: A Textbook-Scale Benchmark for Formal Proof Synthesis in a Library of Finite-Dimensional Quantum Mechanicscited by 0
- 2026Towards Certificate-Driven Software Porting: A Self-Improving Agentic Harness for Scientific Program Optimizationcited by 0
- 2026Towards Certificate-Driven Software Porting: A Self-Improving Agentic Harness for Scientific Program Optimization28 Sep 2026
- 2026AxQM: A Textbook-Scale Benchmark for Formal Proof Synthesis in a Library of Finite-Dimensional Quantum Mechanics4 Sep 2026
- 2026DualityCert: Verifier-Gated Language-Model Repair of Broken Duality Claims in Quantum Field Theory26 Jul 2026
- 2026ImProver 2: Iteratively Self-Improving LMs for Neurosymbolic Proof Optimization21 May 2026
- 2026Lean Atlas: An Integrated Proof Environment for Scalable Human-AI Collaborative Formalization16 Mar 2026
- 2026A Minimal Agent for Automated Theorem Proving27 Feb 2026
- 2025Formalized Hopfield Networks and Boltzmann Machines8 Dec 2025
- 2025Lean4Physics: Comprehensive Reasoning Framework for College-level Physics in Lean430 Oct 2025
- 2025A Community-driven vision for a new Knowledge Resource for AI19 Jun 2025
- 2024miniCTX: Neural Theorem Proving with (Long-)Contexts5 Aug 2024