AI-Driven Formal Theorem Proving

California Institute of Technology, PI: Anima Anandkumar, Grad Student: Robert Joseph George

We care about a future where important scientific and mathematical work can be checked, trusted, and built on with confidence. Our lab develops tools that make formal verification more approachable and useful in practice, using large language models together with proof assistants like Lean. Our interests span scientific computing, software, experimental workflows, and pure mathematics: anywhere correctness, reproducibility, and rigorous reasoning matter.

We also believe this work should be open and collaborative. Our tools, benchmarks, datasets, and research artifacts are open sourced here whenever possible, so that others can inspect them, build on them, and help improve them. Formal verification has the potential to become part of everyday scientific practice, but that will only happen if the community can experiment with the technology, understand how it works, and adapt it to real problems across disciplines.

If this vision resonates with you, we would love to hear from you. Whether you have questions, ideas, use cases, or features you wish existed, please reach out.

Papers

ICML AI4Math 2026 Spotlight
TorchLean: Formalizing Neural Networks in Lean
Robert Joseph George, Jennifer Cruden, Will Adkisson, Xiangru Zhong, Huan Zhang, Anima Anandkumar.
AI4Math · Lean · Verified ML
ICML AI4Math 2026 Workshop
BRIDGE: Building Representations in Domain-Guided Verified Program Synthesis
Robert Joseph George, Carson Eisenach, Udaya Ghai, Dominique Perrault-Joncas, Anima Anandkumar, Dean Foster.
AI4Math · Program synthesis · Lean
ICML AI4Math 2026 Poster
ITPEval: Benchmarking Formal Translation Across Interactive Theorem Provers
Jiayi Wu, Robert Joseph George, Anima Anandkumar.
AI4Math · Benchmarking · Formalization
ICML AI4Physics 2026 Workshop
QuantumLean-Bench: A Unified Benchmark for Informal and Formal Quantum Reasoning
Isha Goswami, Anushka Paulchoudhury, Robert Joseph George, Anima Anandkumar.
AI4Science · Benchmarking · Lean
NeurIPS MATH-AI 2025
Mathematical Discovery and Formalization Towards the AC Conjecture
Caroline Zhang, Aaron Zhao, Robert Joseph George, Sergei Gukov, Anima Anandkumar.
AI4Math · Formalization
NeurIPS MATH-AI 2025
LeanDojo-v2: A Comprehensive Library for AI-Assisted Theorem Proving in Lean
Ryan Hsiang, Will Adkisson, Robert Joseph George, Anima Anandkumar.
AI4Math · Lean · Theorem proving
TMLR 2025
LeanProgress: Guiding Search for Neural Theorem Proving via Proof Progress Prediction
Robert Joseph George, Suozhi Huang, Anima Anandkumar et al.
AI4Math · Lean · Theorem proving
ICLR 2025
LeanAgent: Lifelong Learning for Formal Theorem Proving
Adarsh Kumarappan, Mo Tiwari, Peiyang Song, Robert Joseph George, Chaowei Xiao, Anima Anandkumar.
AI4Math · Lean · Theorem proving
NeuS 2025
Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean
Peiyang Song, Kaiyu Yang, Anima Anandkumar.
AI4Math · Lean · Theorem proving
NeurIPS 2023
LeanDojo: Theorem Proving with Retrieval-Augmented Language Models
Kaiyu Yang, Aidan Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan Prenger, Anima Anandkumar.
AI4Math · Lean · Theorem proving

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