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Nowadays, formal theorem provers have made monumental progress on high-school and competition-level mathematics, but few of them generalize to more advanced mathematics. In this paper, we present REAL-Prover, a new open-source stepwise…

Computation and Language · Computer Science 2025-11-25 Ziju Shen , Naohao Huang , Fanyi Yang , Yutong Wang , Guoxiong Gao , Tianyi Xu , Jiedong Jiang , Wanyi He , Pu Yang , Mengzhou Sun , Haocheng Ju , Peihao Wu , Bryan Dai , Bin Dong

Large language models (LLMs) can perform complex reasoning by generating intermediate reasoning steps. Providing these steps for prompting demonstrations is called chain-of-thought (CoT) prompting. CoT prompting has two major paradigms. One…

Computation and Language · Computer Science 2022-10-10 Zhuosheng Zhang , Aston Zhang , Mu Li , Alex Smola

Large language models (LLMs) have recently attracted considerable interest for their ability to perform complex reasoning tasks, such as chain-of-thought (CoT) reasoning. However, most of the existing approaches to enhance this ability rely…

Computation and Language · Computer Science 2024-08-08 Xinyi Wang , Lucas Caccia , Oleksiy Ostapenko , Xingdi Yuan , William Yang Wang , Alessandro Sordoni

Large language models (LLMs) increasingly rely on Chain-of-Thought (CoT) prompting to improve problem-solving and provide seemingly transparent explanations. However, growing evidence shows that CoT often fail to faithfully represent the…

Artificial Intelligence · Computer Science 2026-03-03 Xu Shen , Song Wang , Zhen Tan , Laura Yao , Xinyu Zhao , Kaidi Xu , Xin Wang , Tianlong Chen

The integration of Large Language Models (LLMs) with optimization modeling offers a promising avenue for advancing decision-making in operations research (OR). Traditional optimization methods,such as linear programming, mixed integer…

Computation and Language · Computer Science 2025-10-24 Guoyun Zhang

Hallucination remains a major challenge for the safe and trustworthy deployment of large language models (LLMs) in factual content generation. Prior work has explored confidence estimation as an effective approach to hallucination…

Computation and Language · Computer Science 2026-05-15 Caiqi Zhang , Xiaochen Zhu , Chengzu Li , Nigel Collier , Andreas Vlachos

Generation of plausible yet incorrect factual information, termed hallucination, is an unsolved issue in large language models. We study the ability of language models to deliberate on the responses they give in order to correct their…

Computation and Language · Computer Science 2023-09-26 Shehzaad Dhuliawala , Mojtaba Komeili , Jing Xu , Roberta Raileanu , Xian Li , Asli Celikyilmaz , Jason Weston

As large language models (LLMs) have become the norm in NLP, demonstrating good performance in generation and reasoning tasks, one of its most fatal disadvantages is the lack of factual correctness. Generating unfactual texts not only leads…

Computation and Language · Computer Science 2023-10-10 Ruochen Zhao , Xingxuan Li , Shafiq Joty , Chengwei Qin , Lidong Bing

As knowledge and semantics on the web grow increasingly complex, enhancing Large Language Models (LLMs)' comprehension and reasoning capabilities has become particularly important. Chain-of-Thought (CoT) prompting has been shown to enhance…

Artificial Intelligence · Computer Science 2026-01-21 Ke Chen , Jiandian Zeng , Zihao Peng , Guo Li , Guangxue Zhang , Tian Wang

Large Language Models (LLMs) have demonstrated promising capabilities in solving mathematical reasoning tasks, leveraging Chain-of-Thought (CoT) data as a vital component in guiding answer generation. Current paradigms typically generate…

Computation and Language · Computer Science 2025-03-20 Honglin Lin , Zhuoshi Pan , Yu Li , Qizhi Pei , Xin Gao , Mengzhang Cai , Conghui He , Lijun Wu

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

As Large Language Models (LLMs) gain traction across critical domains, ensuring secure and trustworthy training processes has become a major concern. Backdoor attacks, where malicious actors inject hidden triggers into training data, are…

Cryptography and Security · Computer Science 2025-10-20 Issam Seddik , Sami Souihi , Mohamed Tamaazousti , Sara Tucci Piergiovanni

As large language models (LLMs) perform more difficult tasks, it becomes harder to verify the correctness and safety of their behavior. One approach to help with this issue is to prompt LLMs to externalize their reasoning, e.g., by having…

Large language models (LLMs) are promising tools for supporting security management tasks, such as incident response planning. However, their unreliability and tendency to hallucinate remain significant challenges. In this paper, we address…

Artificial Intelligence · Computer Science 2026-02-06 Kim Hammar , Tansu Alpcan , Emil Lupu

Large Reasoning Models (LRMs) have emerged as a powerful advancement in multi-step reasoning tasks, offering enhanced transparency and logical consistency through explicit chains of thought (CoT). However, these models introduce novel…

Cryptography and Security · Computer Science 2026-04-15 Jiawei Chen , Yang Yang , Chao Yu , Yu Tian , Zhi Cao , Xue Yang , Linghao Li , Hang Su , Zhaoxia Yin

Large language models can generate long chain-of-thought (CoT) reasoning, yet prior work suggests that CoT can be post-hoc rationalization rather than a faithful reflection of the computation through explicitly designed settings. In this…

Machine Learning · Computer Science 2026-05-28 Jiachen Zhao , Yiyou Sun , Weiyan Shi , Dawn Song

Large Language Models (LLMs) have recently achieved remarkable progress in mathematical reasoning. To enable such capabilities, many existing works distill strong reasoning models into long chains of thought or design algorithms to…

Computation and Language · Computer Science 2026-03-13 Chengyu Shen , Zhen Hao Wong , Runming He , Hao Liang , Meiyi Qiang , Zimo Meng , Zhengyang Zhao , Bohan Zeng , Zhengzhou Zhu , Bin Cui , Wentao Zhang

Program-of-Thought (PoT) replaces natural language-based Chain-of-Thought (CoT) as the most popular method in Large Language Models (LLMs) mathematical reasoning tasks by utilizing external tool calls to circumvent computational errors.…

Artificial Intelligence · Computer Science 2025-09-10 Long Li , Xuzheng He , Haozhe Wang , Linlin Wang , Liang He

Chain of Thought (CoT) prompting improves the reasoning performance of large language models (LLMs) by encouraging step by step thinking. However, CoT-based methods depend on intermediate reasoning steps, which limits scalability and…

Artificial Intelligence · Computer Science 2025-06-02 Guanghao Li , Wenhao Jiang , Mingfeng Chen , Yan Li , Hao Yu , Shuting Dong , Tao Ren , Ming Tang , Chun Yuan

Recent work on reinforcement learning with verifiable rewards (RLVR) has shown that large language models (LLMs) can be substantially improved using outcome-level verification signals, such as unit tests for code or exact-match checks for…

Computation and Language · Computer Science 2026-01-27 Massimiliano Pronesti , Anya Belz , Yufang Hou