[2506.08321] LeanTutor: Towards a Verified AI Mathematical Proof Tutor

Computer Science > Artificial Intelligence arXiv:2506.08321 (cs) [Submitted on 10 Jun 2025 (v1), last revised 3 Mar 2026 (this version, v2)] Title:LeanTutor: Towards a Verified AI Mathematical Proof Tutor Authors:Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade View a PDF of the paper titled LeanTutor: Towards a Verified AI Mathematical Proof Tutor, by Manooshree Patel and 6 other authors View PDF HTML (experimental) Abstract:This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for provable-correctness, but these are hard for students to learn. We present a proof-of-concept system (LeanTutor) by combining the complementary strengths of LLMs and theorem provers. LeanTutor is composed of three modules: (i) an autoformalizer/proof-checker, (ii) a next-step generator, and (iii) a natural language feedback generator. To evaluate the system, we introduce PeanoBench, a dataset of 371 Peano Arithmetic proofs in human-written natural language and formal language, derived from the Natural Numbers Game. Comments: Subjects: Artificial Intelligence (cs.AI); Human-Computer Interaction (cs.HC); Logic in Computer Science (cs.LO) Cite as: arXiv:2506.08321 [cs.AI]   (or arXiv:2506.08321v2 [cs.AI] for this version)   https://doi.org/10.48550/arXiv.2506.08...