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While large language models (LLMs) have demonstrated impressive capabilities across various natural language processing tasks by acquiring rich factual knowledge from their broad training data, their ability to synthesize and logically…

Computation and Language · Computer Science 2024-07-31 Tianshi Zheng , Jiaxin Bai , Yicheng Wang , Tianqing Fang , Yue Guo , Yauwai Yim , Yangqiu Song

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

There is much excitement about the opportunity to harness the power of large language models (LLMs) when building problem-solving assistants. However, the standard methodology of evaluating LLMs relies on static pairs of inputs and outputs,…

We introduce LogicAsker, a novel approach for evaluating and enhancing the logical reasoning capabilities of large language models (LLMs) such as ChatGPT and GPT-4. Despite LLMs' prowess in tasks like writing assistance, code generation,…

Software Engineering · Computer Science 2024-10-10 Yuxuan Wan , Wenxuan Wang , Yiliu Yang , Youliang Yuan , Jen-tse Huang , Pinjia He , Wenxiang Jiao , Michael R. Lyu

Test-time scaling has enabled Large Language Models (LLMs) with remarkable reasoning capabilities, particularly in mathematical domains, through intermediate chain-of-thought (CoT) reasoning before generating final answers. However, the…

Machine Learning · Computer Science 2025-10-21 Binxin Gao , Jingjun Han

An essential element of human mathematical reasoning is our number sense -- an abstract understanding of numbers and their relationships -- which allows us to solve problems involving vast number spaces using limited computational…

Artificial Intelligence · Computer Science 2025-04-02 Roussel Rahman

Large Language Models (LLMs) have demonstrated notable capabilities across various tasks, showcasing complex problem-solving abilities. Understanding and executing complex rules, along with multi-step planning, are fundamental to logical…

Artificial Intelligence · Computer Science 2024-10-15 Jiayi Gui , Yiming Liu , Jiale Cheng , Xiaotao Gu , Xiao Liu , Hongning Wang , Yuxiao Dong , Jie Tang , Minlie Huang

Large Language Models (LLMs) have achieved remarkable performance across a wide range of mathematical benchmarks. However, concerns remain as to whether these successes reflect genuine reasoning or superficial pattern recognition. Existing…

Artificial Intelligence · Computer Science 2026-04-21 Yujie Hou , Mei Wang , Yaoyao Zhong , Ting Zhang , Xuetao Ma , Hua Huang

Although large language models (LLMs) show promise in solving complex mathematical tasks, existing evaluation paradigms rely solely on a coarse measure of overall answer accuracy, which are insufficient for assessing their authentic…

Artificial Intelligence · Computer Science 2025-06-06 Jiayu Liu , Zhenya Huang , Wei Dai , Cheng Cheng , Jinze Wu , Jing Sha , Song Li , Qi Liu , Shijin Wang , Enhong Chen

Reasoning has long been viewed as an emergent property of large language models (LLMs). However, recent studies challenge this assumption, showing that small language models (SLMs) can also achieve competitive reasoning performance. This…

Computation and Language · Computer Science 2025-10-01 Gaurav Srivastava , Shuxiang Cao , Xuan Wang

Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities in visual mathematical reasoning across various existing benchmarks. However, these benchmarks are predominantly based on clean or processed multimodal…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Jun Feng , Zixin Wang , Zhentao Zhang , Yue Guo , Zhihan Zhou , Xiuyi Chen , Zhenyang Li , Dawei Yin

To ensure that math curriculum is grade-appropriate and aligns with critical skills or concepts in accordance with educational standards, pedagogical experts can spend months carefully reviewing published math problems. Drawing inspiration…

Computation and Language · Computer Science 2024-10-08 Li Lucy , Tal August , Rose E. Wang , Luca Soldaini , Courtney Allison , Kyle Lo

Large language models have shown impressive results for multi-hop mathematical reasoning when the input question is only textual. Many mathematical reasoning problems, however, contain both text and image. With the ever-increasing adoption…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Mehran Kazemi , Hamidreza Alvari , Ankit Anand , Jialin Wu , Xi Chen , Radu Soricut

Recent large language models (LLMs) have demonstrated versatile capabilities in long-context scenarios. Although some recent benchmarks have been developed to evaluate the long-context capabilities of LLMs, there is a lack of benchmarks…

Computation and Language · Computer Science 2024-10-08 Lei Wang , Shan Dong , Yuhui Xu , Hanze Dong , Yalu Wang , Amrita Saha , Ee-Peng Lim , Caiming Xiong , Doyen Sahoo

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria

Causal reasoning capabilities are essential for large language models (LLMs) in a wide range of applications, such as education and healthcare. But there is still a lack of benchmarks for a better understanding of such capabilities. Current…

Computation and Language · Computer Science 2024-12-25 Ruibo Tu , Hedvig Kjellström , Gustav Eje Henter , Cheng Zhang

Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane…

Computational Geometry · Computer Science 2025-06-10 Peijie Wang , Chao Yang , Zhong-Zhi Li , Fei Yin , Dekang Ran , Mi Tian , Zhilong Ji , Jinfeng Bai , Cheng-Lin Liu

Recent large language models (LLMs) achieve near-saturation accuracy on many established mathematical reasoning benchmarks, raising concerns about their ability to diagnose genuine reasoning competence. This saturation largely stems from…

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

Critical thinking is essential for rational decision-making and problem-solving. This skill hinges on the ability to provide precise and reasoned critiques and is a hallmark of human intelligence. In the era of large language models (LLMs),…

Machine Learning · Computer Science 2023-10-10 Liangchen Luo , Zi Lin , Yinxiao Liu , Lei Shu , Yun Zhu , Jingbo Shang , Lei Meng