A list of projects related to interactive theorem provers in physics. If this list misses any entries please make a pull-request.
Repos
- 💻 https://physlean.com
- 💻 https://github.com/Timeroot/Lean-QuantumInfo
- 💻 https://github.com/ATOMSLab/LeanLJ
- 💻 https://github.com/ATOMSLab/LeanChemicalTheories
Papers Formatting is off, but here are some relevant papers
- A.~Meiburg, L.~A.~Lessa and R.~R.~Soldati, A Formalization of the Generalized Quantum Stein's Lemma in Lean. 2510.08672
- Bobbin, Maxwell P., et al. "Formalizing dimensional analysis using the Lean theorem prover." arXiv preprint arXiv:2509.13142 (2025).
- Tooby-Smith, J., A Perspective on Interactive Theorem Provers in Physics
- P Feyzishendi, S Hamer, J Huang, TR Josephson, Formal Verification of Isothermal Chemical Reactors. arXiv preprint arXiv:2509.01130
- Automating Reasoning in Chemical Science and Engineering. T Josephson
- Benchmarking energy calculations using formal proofs,ED Ugwuanyi, CT Jones, J Velkey, TR Josephson. Molecular Physics, e2539421
- Tooby-Smith, J., Digitalizing Wick's theorem
- Tooby-Smith, J., Formalization of physics index notation in Lean 4
- Vermeulen, Lode. "Formal Verification of Mathematics Behind Quantum Optics Experiments."
- Tooby-Smith, J., HepLean: Digitalising high energy physics
- Formalizing chemical physics using the Lean theorem prover MP Bobbin, S Sharlin, P Feyzishendi, AH Dang, CM Wraback, ... Digital Discovery 3 (2), 264-280
- Computer-Verified BET Analysis Using the Lean Theorem Prover. J Velkey, P Feyzishendi, MP Bobbin, TR Josephson 2023 AIChE Annual Meeting
- https://github.com/coq-quantum/CoqQ
- 📄 Lu, Eric Hanqing, A Formalization of Elements of Special Relativity in Coq. url
See here physics projects within Isabelle's archive of formal proofs.