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As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

Despite the broad applicability of large language models (LLMs), their reliance on probabilistic inference makes them vulnerable to errors such as hallucination in generated facts and inconsistent output structure in natural language…

Computation and Language · Computer Science 2025-10-24 Xin Lian , Kenneth D. Forbus

Large Language Models (LLMs) have shown strong performance on code understanding tasks, yet they fundamentally lack the ability to perform precise, exhaustive mathematical reasoning about program behavior. Existing benchmarks either focus…

Recently, deep learning models have made great progress in MWP solving on answer accuracy. However, they are uninterpretable since they mainly rely on shallow heuristics to achieve high performance without understanding and reasoning the…

Artificial Intelligence · Computer Science 2022-10-25 Zhicheng Yang , Jinghui Qin , Jiaqi Chen , Liang Lin , Xiaodan Liang

MLLM reasoning has drawn widespread research for its excellent problem-solving capability. Current reasoning methods fall into two types: PRM, which supervises the intermediate reasoning steps, and ORM, which supervises the final results.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Qihan Huang , Weilong Dai , Jinlong Liu , Wanggui He , Hao Jiang , Mingli Song , Jingyuan Chen , Chang Yao , Jie Song

Scientific software relies on high-precision computation, yet finite floating-point representations can introduce precision errors that propagate in safety-critical domains. Despite the growing use of large language models (LLMs) in…

Software Engineering · Computer Science 2026-04-10 Tien Nguyen , Kirshanthan Sundararajah , Muhammad Ali Gulzar

With the introduction of large language models (LLMs), automatic math reasoning has seen tremendous success. However, current methods primarily focus on providing solutions or using techniques like Chain-of-Thought to enhance…

Computation and Language · Computer Science 2024-07-25 Yuyang Ding , Hanglei Hu , Jie Zhou , Qin Chen , Bo Jiang , Liang He

Large language models (LLMs) have demonstrated strong mathematical reasoning capabilities but remain susceptible to hallucinations producing plausible yet incorrect statements especially in theorem proving, symbolic manipulation, and…

Artificial Intelligence · Computer Science 2025-06-23 MingShan Liu , Jialing Fang

Existing research predominantly focuses on developing powerful language learning models (LLMs) for mathematical reasoning within monolingual languages, with few explorations in preserving efficacy in a multilingual context. To bridge this…

Computation and Language · Computer Science 2024-10-17 Nuo Chen , Zinan Zheng , Ning Wu , Ming Gong , Dongmei Zhang , Jia Li

Reward models (RMs) play a critical role in enhancing the reasoning performance of LLMs. For example, they can provide training signals to finetune LLMs during reinforcement learning (RL) and help select the best answer from multiple…

Computation and Language · Computer Science 2025-10-06 Qiyuan Liu , Hao Xu , Xuhong Chen , Wei Chen , Yee Whye Teh , Ning Miao

Mathematical reasoning represents a critical frontier in advancing large language models (LLMs). While step-by-step approaches have emerged as the dominant paradigm for mathematical problem-solving in LLMs, the quality of reasoning steps in…

Computation and Language · Computer Science 2026-02-26 Yuchen Yan , Yongliang Shen , Yang Liu , Jin Jiang , Xin Xu , Mengdi Zhang , Jian Shao , Yueting Zhuang

With the development of artificial intelligence (AI), large language models (LLM) are widely used in many fields. However, the reasoning ability of LLM is still very limited when it comes to mathematical reasoning. Mathematics plays an…

Computation and Language · Computer Science 2024-08-06 Wenbei Xie , Donglin Liu , Haoran Yan , Wenjie Wu , Zongyang Liu

Mathematical reasoning in large language models (LMs) has garnered significant attention in recent work, but there is a limited understanding of how these models process and store information related to arithmetic tasks within their…

Computation and Language · Computer Science 2023-10-23 Alessandro Stolfo , Yonatan Belinkov , Mrinmaya Sachan

Code understanding and generation have fast become some of the most popular applications of language models (LMs). Nonetheless, research on multilingual aspects of Code-LMs (i.e., LMs for code generation) such as cross-lingual transfer…

Artificial Intelligence · Computer Science 2024-04-16 Indraneil Paul , Goran Glavaš , Iryna Gurevych

Across languages, numeral systems vary widely in how they construct and combine numbers. While humans consistently learn to navigate this diversity, large language models (LLMs) struggle with linguistic-mathematical puzzles involving…

Computation and Language · Computer Science 2025-10-16 Antara Raaghavi Bhattacharya , Isabel Papadimitriou , Kathryn Davidson , David Alvarez-Melis

Prompting techniques have significantly enhanced the capabilities of Large Language Models (LLMs) across various complex tasks, including reasoning, planning, and solving math word problems. However, most research has predominantly focused…

Computation and Language · Computer Science 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

Large language models (LLMs) make remarkable progress in reasoning tasks. Among different reasoning modes, inductive reasoning, due to its better alignment with human learning, attracts increasing interest. However, research on inductive…

Computation and Language · Computer Science 2025-10-17 Kedi Chen , Zhikai Lei , Xu Guo , Xuecheng Wu , Siyuan Zeng , Jianghao Yin , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Large language models (LLMs) have revolutionized many areas (e.g. natural language processing, software engineering, etc.) by achieving state-of-the-art performance on extensive downstream tasks. Aiming to achieve robust and general…

Artificial Intelligence · Computer Science 2024-01-18 Zhiming Li , Yushi Cao , Xiufeng Xu , Junzhe Jiang , Xu Liu , Yon Shin Teo , Shang-wei Lin , Yang Liu

Large Reasoning Models (LRMs) have demonstrated remarkable problem-solving abilities in mathematics, as evaluated by existing benchmarks exclusively on well-defined problems. However, such evaluation setup constitutes a critical gap, since…

Artificial Intelligence · Computer Science 2025-08-18 Youcheng Huang , Bowen Qin , Chen Huang , Duanyu Feng , Xi Yang , Wenqiang Lei

The creation of high-quality datasets to improve Large Language Model (LLM) reasoning remains a significant challenge, as current methods often suffer from generating low-quality/incorrect answers and limited information richness from…

Computation and Language · Computer Science 2026-01-09 Xianyang Liu , Yilin Liu , Shuai Wang , Hao Cheng , Andrew Estornell , Yuzhi Zhao , Jun Shu , Jiaheng Wei