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Large language models (LLMs) solve complex problems yet fail on simpler variants, suggesting they achieve correct outputs through mechanisms fundamentally different from human reasoning. To understand this gap, we synthesize cognitive…

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle…

Computation and Language · Computer Science 2025-08-12 Anselm R. Strohmaier , Wim Van Dooren , Kathrin Seßler , Brian Greer , Lieven Verschaffel

Large Language Models (LLMs) face significant accuracy degradation due to insufficient reasoning ability when dealing with complex and abstract tasks. Thought structures such as Chain of Thought (CoT) and Tree of Thought (ToT) focus on…

Computation and Language · Computer Science 2025-09-29 Fengxiao Tang , Yufeng Li , Zongzong Wu , Ming Zhao

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

Large Language Models (LLMs) such as ChatGPT have shown remarkable abilities in producing human-like text. However, it is unclear how accurately these models internalize concepts that shape human thought and behavior. Here, we developed a…

Machine Learning · Computer Science 2025-07-01 Hiro Taiyo Hamada , Ippei Fujisawa , Genji Kawakita , Yuki Yamada

The cognitive mechanism by which Large Language Models (LLMs) solve mathematical problems remains a widely debated and unresolved issue. Currently, there is little interpretable experimental evidence that connects LLMs' problem-solving with…

Artificial Intelligence · Computer Science 2025-09-23 Wei Xie , Shuoyoucheng Ma , Zhenhua Wang , Enze Wang , Kai Chen , Xiaobing Sun , Baosheng Wang

The development of highly fluent large language models (LLMs) has prompted increased interest in assessing their reasoning and problem-solving capabilities. We investigate whether several LLMs can solve a classic type of deductive reasoning…

Computation and Language · Computer Science 2024-04-16 Spencer M. Seals , Valerie L. Shalin

Large Language Models (LLMs) have demonstrated good performance in many reasoning tasks, but they still struggle with some complicated reasoning tasks including logical reasoning. One non-negligible reason for LLMs' suboptimal performance…

Computation and Language · Computer Science 2024-04-09 Yanda Li , Dixuan Wang , Jiaqing Liang , Guochao Jiang , Qianyu He , Yanghua Xiao , Deqing Yang

Existing tasks fall short in evaluating reasoning ability of Large Language Models (LLMs) in an interactive, unknown environment. This deficiency leads to the isolated assessment of deductive, inductive, and abductive reasoning, neglecting…

Artificial Intelligence · Computer Science 2026-05-07 Congchi Yin , Tianyi Wu , Yankai Shu , Alex Gu , Yunhan Wang , Jun Shao , Xun Jiang , Piji Li

As Large Language Models (LLMs) are integrated into critical real-world applications, their strategic and logical reasoning abilities are increasingly crucial. This paper evaluates LLMs' reasoning abilities in competitive environments…

Computation and Language · Computer Science 2024-06-11 Jinhao Duan , Renming Zhang , James Diffenderfer , Bhavya Kailkhura , Lichao Sun , Elias Stengel-Eskin , Mohit Bansal , Tianlong Chen , Kaidi Xu

Large language models (LLMs) often struggle with complex mathematical tasks, prone to "hallucinating" incorrect answers due to their reliance on statistical patterns. This limitation is further amplified in average Small LangSLMs with…

When reading long-form text, human cognition is complex and structurized. While large language models (LLMs) process input contexts through a causal and sequential perspective, this approach can potentially limit their ability to handle…

Computation and Language · Computer Science 2024-11-01 Kai Liu , Zhihang Fu , Chao Chen , Wei Zhang , Rongxin Jiang , Fan Zhou , Yaowu Chen , Yue Wu , Jieping Ye

Recent reasoning large language models (LLMs) have demonstrated remarkable improvements in mathematical reasoning capabilities through long Chain-of-Thought. The reasoning tokens of these models enable self-correction within reasoning…

Artificial Intelligence · Computer Science 2025-04-02 Yu Cui , Bryan Hooi , Yujun Cai , Yiwei Wang

Most existing prompting methods suffer from the issues of generalizability and consistency, as they often rely on instance-specific solutions that may not be applicable to other instances and lack task-level consistency across the selected…

Computation and Language · Computer Science 2024-11-12 Chang Gao , Haiyun Jiang , Deng Cai , Shuming Shi , Wai Lam

Large Language Models (LLMs) have grown increasingly powerful, yet ensuring their decisions remain transparent and trustworthy requires self-consistency -- no contradictions in their internal reasoning. Our study reveals that even on simple…

Computation and Language · Computer Science 2025-06-24 Zhenru Lin , Jiawen Tao , Yang Yuan , Andrew Chi-Chih Yao

Large language models (LLMs) are very performant connectionist systems, but do they exhibit more compositionality? More importantly, is that part of why they perform so well? We present empirical analyses across four LLM families (12…

Computation and Language · Computer Science 2025-05-21 Ruchira Dhar , Anders Søgaard

Large language models (LLMs) have demonstrated their remarkable performance across various language understanding tasks. While emerging benchmarks have been proposed to evaluate LLMs in various domains such as mathematics and computer…

Artificial Intelligence · Computer Science 2024-10-28 Junnan Dong , Zijin Hong , Yuanchen Bei , Feiran Huang , Xinrun Wang , Xiao Huang

Large Language Models (LLMs) have exhibited remarkable reasoning capabilities, achieving impressive results across a wide range of tasks. Despite these advances, significant reasoning failures persist, occurring even in seemingly simple…

Artificial Intelligence · Computer Science 2026-02-09 Peiyang Song , Pengrui Han , Noah Goodman

Large Language Models (LLMs) have demonstrated potential in predicting mental health outcomes from online text, yet traditional classification methods often lack interpretability and robustness. This study evaluates structured reasoning…

Computation and Language · Computer Science 2026-01-09 Avinash Patil , Amardeep Kour Gedhu

We propose cognitive prompting as a novel approach to guide problem-solving in large language models (LLMs) through structured, human-like cognitive operations, such as goal clarification, decomposition, filtering, abstraction, and pattern…

Computation and Language · Computer Science 2024-12-03 Oliver Kramer , Jill Baumann