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Neural theorem proving combines large language models (LLMs) with proof assistants such as Lean, where the correctness of formal proofs can be rigorously verified, leaving no room for hallucination. With existing neural theorem provers…

Artificial Intelligence · Computer Science 2025-05-13 Peiyang Song , Kaiyu Yang , Anima Anandkumar

As Large Language Models (LLMs) are rapidly evolving, providing accurate feedback and scalable oversight on their outputs becomes an urgent and critical problem. Leveraging LLMs as critique models to achieve automated supervision is a…

Computation and Language · Computer Science 2025-05-02 Wenkai Yang , Jingwen Chen , Yankai Lin , Ji-Rong Wen

Large language models show great promise in many domains, including programming. A promise is easy to make but hard to keep, and language models often fail to keep their promises, generating erroneous code. A promising avenue to keep models…

Software Engineering · Computer Science 2024-06-12 Md Rakib Hossain Misu , Cristina V. Lopes , Iris Ma , James Noble

Large language models have become proficient at generating functional code, but ensuring the output truly matches the programmer's intent remains difficult. Testing improves trust, yet for safety-critical applications, formal verification…

Software Engineering · Computer Science 2026-02-03 Mantas Baksys , Stefan Zetzsche , Olivier Bouissou , Remi Delmas , Soonho Kong , Sean B. Holden

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

Within the evolving landscape of deep learning, the dilemma of data quantity and quality has been a long-standing problem. The recent advent of Large Language Models (LLMs) offers a data-centric solution to alleviate the limitations of…

Computation and Language · Computer Science 2024-06-24 Lin Long , Rui Wang , Ruixuan Xiao , Junbo Zhao , Xiao Ding , Gang Chen , Haobo Wang

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

Computation and Language · Computer Science 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

We present Lean Finder, a semantic search engine for Lean and mathlib that understands and aligns with the intents of mathematicians. Progress in formal theorem proving is often hindered by the difficulty of locating relevant theorems and…

Machine Learning · Computer Science 2026-02-24 Jialin Lu , Kye Emond , Kaiyu Yang , Swarat Chaudhuri , Weiran Sun , Wuyang Chen

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh

Recent advances in Large Language Models (LLMs) have shown that their reasoning capabilities can be significantly improved through Reinforcement Learning with Verifiable Reward (RLVR), particularly in domains like mathematics and…

Recent works improving LLM math reasoning with synthetic data have used unique setups, making comparison of data synthesis strategies impractical. This leaves many unanswered questions about the roles of different factors in the synthetic…

Recent math benchmarks for large language models (LLMs) such as MathArena indicate that state-of-the-art reasoning models achieve impressive performance on mathematical competitions like AIME, with the leading model, Gemini-2.5-Pro,…

Large Language Models (LLMs) have demonstrated exceptional capabilities in various natural language tasks, often achieving performances that surpass those of humans. Despite these advancements, the domain of mathematics presents a…

Computation and Language · Computer Science 2024-04-02 Ankit Satpute , Noah Giessing , Andre Greiner-Petter , Moritz Schubotz , Olaf Teschke , Akiko Aizawa , Bela Gipp

Increasing interest in reasoning models has led math to become a prominent testing ground for algorithmic and methodological improvements. However, existing open math datasets either contain a small collection of high-quality, human-written…

Large language models (LLMs) struggle with formal domains that require rigorous logical deduction and symbolic reasoning, such as mathematical proof generation. We propose a neuro-symbolic approach that combines LLMs' generative strengths…

Artificial Intelligence · Computer Science 2026-05-26 Oren Sultan , Eitan Stern , Dafna Shahaf

Large Language Models (LLMs) for formal theorem proving have shown significant promise, yet they often lack generalizability and are fragile to even minor transformations of problem statements. To address this limitation, we introduce a…

Artificial Intelligence · Computer Science 2025-10-02 Yuchen Tian , Ruiyuan Huang , Xuanwu Wang , Jing Ma , Zengfeng Huang , Ziyang Luo , Hongzhan Lin , Da Zheng , Lun Du

Providing effective feedback is important for student learning in programming problem-solving. In this sense, Large Language Models (LLMs) have emerged as potential tools to automate feedback generation. However, their reliability and…

Software Engineering · Computer Science 2025-03-20 Priscylla Silva , Evandro Costa

In mathematical reasoning tasks, the advancement of Large Language Models (LLMs) relies heavily on high-quality training data with clearly defined and well-graded difficulty levels. However, existing data synthesis methods often suffer from…

Machine Learning · Computer Science 2026-01-27 Xuchen Li , Jing Chen , Xuzhao Li , Hao Liang , Xiaohuan Zhou , Taifeng Wang , Wentao Zhang

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…

Machine Learning · Computer Science 2026-03-05 Manooshree Patel , Rayna Bhattacharyya , Thomas Lu , Arnav Mehta , Niels Voss , Narges Norouzi , Gireeja Ranade