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Mathematical reasoning remains a significant challenge for Large Language Models (LLMs) due to hallucinations. When combined with formal proof assistants like Lean, these hallucinations can be eliminated through rigorous verification,…

Artificial Intelligence · Computer Science 2026-01-21 Robert Joseph George , Suozhi Huang , Peiyang Song , Anima Anandkumar

General-purpose Large Language Models (LLMs) have achieved remarkable success in intelligence, performing comparably to human experts on complex reasoning tasks such as coding and mathematical reasoning. However, generating formal proofs in…

Large language models (LLMs) have achieved remarkable progress in the field of natural language processing (NLP), demonstrating remarkable abilities in producing text that resembles human language for various tasks. This opens up new…

Information Retrieval · Computer Science 2024-06-05 Jianghao Lin , Xinyi Dai , Rong Shan , Bo Chen , Ruiming Tang , Yong Yu , Weinan Zhang

Recent advancements in large language models (LLMs) have sparked considerable interest in automated theorem proving and a prominent line of research integrates stepwise LLM-based provers into tree search. In this paper, we introduce a novel…

Artificial Intelligence · Computer Science 2025-05-20 Junyu Lai , Jiakun Zhang , Shuo Xu , Taolue Chen , Zihang Wang , Yao Yang , Jiarui Zhang , Chun Cao , Jingwei Xu

Large Language Models (LLMs) have emerged as powerful tools in mathematical theorem proving, particularly when utilizing formal languages such as LEAN. A prevalent proof method involves the LLM prover iteratively constructing the proof…

Artificial Intelligence · Computer Science 2025-10-22 Zijian Wu , Suozhi Huang , Zhejian Zhou , Huaiyuan Ying , Zheng Yuan , Wenwei Zhang , Dahua Lin , Kai Chen

Large Language Models (LLMs) are often used as automated judges to evaluate text, but their effectiveness can be hindered by various unintentional biases. We propose using linear classifying probes, trained by leveraging differences between…

Computation and Language · Computer Science 2025-03-25 Sharan Maiya , Yinhong Liu , Ramit Debnath , Anna Korhonen

Automated theorem proving is essential for the formal verification of safety-critical systems. As the corpus of formal proofs grows, a natural paradigm is to learn from existing proofs. However, current learning-based approaches…

Software Engineering · Computer Science 2026-05-12 Jian Fang , Yixun Yao , Yingfei Xiong

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

Large Language Models (LLMs) now excel at generative skills and can create content at impeccable speeds. However, they are imperfect and still make various mistakes. In a Computer Science education context, as these models are widely…

Human-Computer Interaction · Computer Science 2024-10-11 Qianou Ma , Hua Shen , Kenneth Koedinger , Tongshuang Wu

The accelerating growth of the scientific literature makes it increasingly difficult for researchers to track new advances through manual reading alone. Recent progress in large language models (LLMs) has therefore spurred interest in…

Machine Learning · Computer Science 2026-01-21 Zijian Wang , Tiancheng Huang , Hanqi Li , Da Ma , Lu Chen , Kai Yu

Formal verification via theorem proving enables the expressive specification and rigorous proof of software correctness, but it is difficult to scale due to the significant manual effort and expertise required. While Large Language Models…

Software Engineering · Computer Science 2025-10-30 Minghai Lu , Zhe Zhou , Danning Xie , Songlin Jia , Benjamin Delaware , Tianyi Zhang

Theorem proving is a fundamental task in mathematics. With the advent of large language models (LLMs) and interactive theorem provers (ITPs) like Lean, there has been growing interest in integrating LLMs and ITPs to automate theorem…

Artificial Intelligence · Computer Science 2024-02-16 Rahul Vishwakarma , Subhankar Mishra

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Retrieval-augmented in-context learning has emerged as a powerful approach for addressing knowledge-intensive tasks using frozen language models (LM) and retrieval models (RM). Existing work has combined these in simple "retrieve-then-read"…

Computation and Language · Computer Science 2023-01-24 Omar Khattab , Keshav Santhanam , Xiang Lisa Li , David Hall , Percy Liang , Christopher Potts , Matei Zaharia

Large language models (LLMs) have been a disruptive innovation in recent years, and they play a crucial role in our daily lives due to their ability to understand and generate human-like text. Their capabilities include natural language…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Akrit Mudvari , Yuang Jiang , Leandros Tassiulas

Inference-time compute has re-emerged as a practical way to improve LLM reasoning. Most test-time scaling (TTS) algorithms rely on autoregressive decoding, which is ill-suited to discrete diffusion language models (dLLMs) due to their…

Machine Learning · Computer Science 2026-05-06 Jinbin Bai , Yixuan Li , Yuchen Zhu , Yi Xin , Qingyu Shi , Aosong Feng , Xiaohong Liu , Molei Tao , Jianru Xue , Xiangtai Li , Ming-Hsuan Yang

In recent years, the field of artificial intelligence has undergone a paradigm shift from task-specific small-scale models to general-purpose large language models (LLMs). With the rapid iteration of LLMs, objective, quantitative, and…

Large Language Models (LLMs) exhibit emerging in-context learning abilities through prompt engineering. The recent progress in large-scale generative models has further expanded their use in real-world language applications. However, the…

Computation and Language · Computer Science 2024-04-12 Linyi Yang , Shuibai Zhang , Zhuohao Yu , Guangsheng Bao , Yidong Wang , Jindong Wang , Ruochen Xu , Wei Ye , Xing Xie , Weizhu Chen , Yue Zhang

The emergence of Large Language Models (LLMs) has demonstrated promising progress in solving logical reasoning tasks effectively. Several recent approaches have proposed to change the role of the LLM from the reasoner into a translator…

Computation and Language · Computer Science 2024-07-12 Long Hei Matthew Lam , Ramya Keerthy Thatikonda , Ehsan Shareghi
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