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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

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

Logical reasoning is central to complex human activities, such as thinking, debating, and planning; it is also a central component of many AI systems as well. In this paper, we investigate the extent to which encoder-only transformer…

Computation and Language · Computer Science 2024-07-02 Paulo Pirozelli , Marcos M. José , Paulo de Tarso P. Filho , Anarosa A. F. Brandão , Fabio G. Cozman

Logic reasoning has been critically needed in problem-solving and decision-making. Although Language Models (LMs) have demonstrated capabilities of handling multiple reasoning tasks (e.g., commonsense reasoning), their ability to reason…

Computation and Language · Computer Science 2024-02-16 Zhexiong Liu , Jing Zhang , Jiaying Lu , Wenjing Ma , Joyce C Ho

Large language models (LLMs) can perform reasoning computations both internally within their latent space and externally by generating explicit token sequences like chains of thought. Significant progress in enhancing reasoning abilities…

Computation and Language · Computer Science 2025-04-16 Thilo Hagendorff , Sarah Fabi

This paper introduces ConceptMath, a bilingual (English and Chinese), fine-grained benchmark that evaluates concept-wise mathematical reasoning of Large Language Models (LLMs). Unlike traditional benchmarks that evaluate general…

Computation and Language · Computer Science 2024-02-26 Yanan Wu , Jie Liu , Xingyuan Bu , Jiaheng Liu , Zhanhui Zhou , Yuanxing Zhang , Chenchen Zhang , Zhiqi Bai , Haibin Chen , Tiezheng Ge , Wanli Ouyang , Wenbo Su , Bo Zheng

We introduce \textbf{GAUSS} (\textbf{G}eneral \textbf{A}ssessment of \textbf{U}nderlying \textbf{S}tructured \textbf{S}kills in Mathematics), a benchmark that evaluates LLMs' mathematical abilities across twelve core skill dimensions,…

Artificial Intelligence · Computer Science 2025-10-08 Yue Zhang , Jiaxin Zhang , Qiuyu Ren , Tahsin Saffat , Xiaoxuan Liu , Zitong Yang , Banghua Zhu , Yi Ma

Large language models (LLMs) are the result of a massive experiment in bottom-up, data-driven reverse engineering of language at scale. Despite their utility in a number of downstream NLP tasks, ample research has shown that LLMs are…

Artificial Intelligence · Computer Science 2024-08-05 Walid S. Saba

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

Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resource settings and in tasks requiring deep logical reasoning. This research introduces Rosetta-PL, a benchmark…

Computation and Language · Computer Science 2025-05-06 Shaun Baek , Shaun Esua-Mensah , Cyrus Tsui , Sejan Vigneswaralingam , Abdullah Alali , Michael Lu , Vasu Sharma , Sean O'Brien , Kevin Zhu

While large language models (LLMs) excel in mathematical and code reasoning, we observe they struggle with social reasoning tasks, exhibiting cognitive confusion, logical inconsistencies, and conflation between objective world states and…

Computation and Language · Computer Science 2025-10-14 Jialu Du , Guiyang Hou , Yihui Fu , Chen Wu , Wenqi Zhang , Yongliang Shen , Weiming Lu

Large Language Models (LLMs) demonstrate significant potential but face challenges in complex financial reasoning tasks requiring both domain knowledge and sophisticated reasoning. Current evaluation benchmarks often fall short by not…

Computation and Language · Computer Science 2025-11-07 Shaoyu Dou , Yutian Shen , Mofan Chen , Zixuan Wang , Jiajie Xu , Qi Guo , Kailai Shao , Chao Chen , Haixiang Hu , Haibo Shi , Min Min , Liwen Zhang

Counterfactual reasoning is widely recognized as one of the most challenging and intricate aspects of causality in artificial intelligence. In this paper, we evaluate the performance of large language models (LLMs) in counterfactual…

Computation and Language · Computer Science 2026-04-14 Yuefei Chen , Vivek K. Singh , Jing Ma , Ruixiang Tang

Large language models (LLMs) have shown strong performance on mathematical reasoning under well-defined conditions. However, real-world engineering problems involve uncertainty, context, and open-ended settings that extend beyond symbolic…

Artificial Intelligence · Computer Science 2026-05-05 Xiyuan Zhou , Xinlei Wang , Yirui He , Yang Wu , Ruixi Zou , Yuheng Cheng , Yulu Xie , Wenxuan Liu , Huan Zhao , Yan Xu , Jinjin Gu , Junhua Zhao

We introduce a comprehensive Linguistic Benchmark designed to evaluate the limitations of Large Language Models (LLMs) in domains such as logical reasoning, spatial intelligence, and linguistic understanding, among others. Through a series…

Artificial Intelligence · Computer Science 2024-06-04 Sean Williams , James Huckle

This study intends to systematically disentangle pure logic reasoning and text understanding by investigating the contrast across abstract and contextualized logical problems from a comprehensive set of domains. We explore whether LLMs…

Computation and Language · Computer Science 2024-06-06 Wenyue Hua , Kaijie Zhu , Lingyao Li , Lizhou Fan , Shuhang Lin , Mingyu Jin , Haochen Xue , Zelong Li , JinDong Wang , Yongfeng Zhang

Exploring the capabilities of Large Language Models (LLMs) in puzzle solving unveils critical insights into their potential and challenges in AI, marking a significant step towards understanding their applicability in complex reasoning…

Computation and Language · Computer Science 2025-08-04 Panagiotis Giadikiaroglou , Maria Lymperaiou , Giorgos Filandrianos , Giorgos Stamou

Large Language Models (LLMs) solely trained on next-token prediction learn to solve a wide range of problems involving mathematical reasoning. But how does this ability evolve during training? We show the first analysis of how mathematical…

Artificial Intelligence · Computer Science 2025-12-15 Shubhra Mishra , Gabriel Poesia , Noah D. Goodman

In our opinion the exuberance surrounding the relative success of data-driven large language models (LLMs) is slightly misguided and for several reasons (i) LLMs cannot be relied upon for factual information since for LLMs all ingested text…

Computation and Language · Computer Science 2023-09-15 Walid S. Saba

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy