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Automatic translation of natural language mathematics into faithful Lean 4 code is hindered by the fundamental dissonance between informal set-theoretic intuition and strict formal type theory. This gap often causes LLMs to hallucinate…

Software Engineering · Computer Science 2026-04-21 Ke Zhang , Patricio Gallardo , Maziar Raissi , Sudhir Murthy

Formal verification using proof assistants, such as Coq, enables the creation of high-quality software. However, the verification process requires significant expertise and manual effort to write proofs. Recent work has explored automating…

Linguistic expressions of emotions such as depression, anxiety, and trauma-related states are pervasive in clinical notes, counseling dialogues, and online mental health communities, and accurate recognition of these emotions is essential…

Artificial Intelligence · Computer Science 2026-01-21 Jian Zhang , Zhangqi Wang , Zhiyuan Wang , Weiping Fu , Yu He , Haiping Zhu , Qika Lin , Jun Liu

Automated Program Repair (APR) can help developers automatically generate patches for bugs. Due to the impressive performance obtained using Large Pre-Trained Language Models (LLMs) on many code related tasks, researchers have started to…

Software Engineering · Computer Science 2023-02-01 Chunqiu Steven Xia , Lingming Zhang

Large language models (LLMs) can perform complex reasoning in few- and zero-shot settings by generating intermediate chain of thought (CoT) reasoning steps. Further, each reasoning step can rely on external tools to support computation…

Computation and Language · Computer Science 2023-03-17 Bhargavi Paranjape , Scott Lundberg , Sameer Singh , Hannaneh Hajishirzi , Luke Zettlemoyer , Marco Tulio Ribeiro

Intrinsic self-correct was a method that instructed large language models (LLMs) to verify and correct their responses without external feedback. Unfortunately, the study concluded that the LLMs could not self-correct reasoning yet. We find…

Computation and Language · Computer Science 2024-10-04 Zhenyu Wu , Qingkai Zeng , Zhihan Zhang , Zhaoxuan Tan , Chao Shen , Meng Jiang

Automated fact checking with large language models (LLMs) offers a scalable alternative to manual verification. Evaluating fact checking is challenging as existing benchmark datasets often include post claim analysis and annotator cues,…

Computation and Language · Computer Science 2025-07-08 Satyam Shukla , Himanshu Dutta , Pushpak Bhattacharyya

Automatic math correction aims to check students' solutions to mathematical problems via artificial intelligence technologies. Most existing studies focus on judging the final answer at the problem level, while they ignore detailed feedback…

Computation and Language · Computer Science 2025-03-25 Junsong Li , Jie Zhou , Yutao Yang , Bihao Zhan , Qianjun Pan , Yuyang Ding , Qin Chen , Jiang Bo , Xin Lin , Liang He

Large language models (LLMs) have shown strong performance in many reasoning benchmarks. However, recent studies have pointed to memorization, rather than generalization, as one of the leading causes for such performance. LLMs, in fact, are…

Computation and Language · Computer Science 2025-09-19 Xingwei Tan , Marco Valentino , Mahmud Akhter , Maria Liakata , Nikolaos Aletras

State-of-the-art (SOTA) LLMs have progressed from struggling on proof-based Olympiad problems to solving most of the IMO 2025 problems, with leading systems reportedly handling 5 of 6 problems. Given this progress, we assess how well these…

Undergraduate students of artificial intelligence often struggle with representing knowledge as logical sentences. This is a skill that seems to require extensive practice to obtain, suggesting a teaching strategy that involves the…

Computers and Society · Computer Science 2015-07-15 Angelo Kyrilov , David Noelle

Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

Recent breakthroughs in reasoning language models have significantly advanced text-based reasoning. On the other hand, Multi-modal Large Language Models (MLLMs) still lag behind, hindered by their outdated internal LLMs. Upgrading these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yunhao Gou , Kai Chen , Zhili Liu , Lanqing Hong , Xin Jin , Zhenguo Li , James T. Kwok , Yu Zhang

Large language models (LLMs) have become widely adopted as automated judges for evaluating AI-generated content. Despite their success, aligning LLM-based evaluations with human judgments remains challenging. While supervised fine-tuning on…

Artificial Intelligence · Computer Science 2026-02-13 Bo Pan , Xuan Kan , Kaitai Zhang , Yan Yan , Shunwen Tan , Zihao He , Zixin Ding , Junjie Wu , Liang Zhao

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

Reinforcement learning (RL) has emerged as a powerful tool for fine-tuning large language models (LLMs) to improve complex reasoning abilities. However, state-of-the-art policy optimization methods often suffer from high computational…

Machine Learning · Computer Science 2025-05-28 Kianté Brantley , Mingyu Chen , Zhaolin Gao , Jason D. Lee , Wen Sun , Wenhao Zhan , Xuezhou Zhang

In logical reasoning, it is often the case that only some of a collection of assumptions are needed to reach a conclusion. A strengthening lemma is an assertion that a given conclusion is independent in this sense of a particular…

Logic in Computer Science · Computer Science 2017-05-26 Dawn Michaelson

The need for formal definition of the very basis of mathematics arose in the last century. The scale and complexity of mathematics, along with discovered paradoxes, revealed the danger of accumulating errors across theories. Although,…

Logic in Computer Science · Computer Science 2018-09-10 Artem Yushkovskiy

We introduce our Leanabell-Prover-V2, a 7B large language models (LLMs) that can produce formal theorem proofs in Lean 4, with verifier-integrated Long Chain-of-Thoughts (CoT). Following our previous work Leanabell-Prover-V1, we continual…

Artificial Intelligence · Computer Science 2025-07-14 Xingguang Ji , Yahui Liu , Qi Wang , Jingyuan Zhang , Yang Yue , Rui Shi , Chenxi Sun , Fuzheng Zhang , Guorui Zhou , Kun Gai

Large Language Models (LLMs) have been successful in mathematical reasoning tasks such as formal theorem proving when integrated with interactive proof assistants like Lean. Existing approaches involve training or fine-tuning an LLM on a…

Machine Learning · Computer Science 2025-03-07 Adarsh Kumarappan , Mo Tiwari , Peiyang Song , Robert Joseph George , Chaowei Xiao , Anima Anandkumar