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Chain-of-Thought (CoT) prompting has proven to be effective in enhancing the reasoning capabilities of Large Language Models (LLMs) with at least 100 billion parameters. However, it is ineffective or even detrimental when applied to…

Computation and Language · Computer Science 2023-10-24 Chengcheng Han , Xiaowei Du , Che Zhang , Yixin Lian , Xiang Li , Ming Gao , Baoyuan Wang

Chain-of-thought (CoT) reasoning enhances performance of large language models, but questions remain about whether these reasoning traces faithfully reflect the internal processes of the model. We present the first comprehensive study of…

Computation and Language · Computer Science 2025-11-04 Sriram Balasubramanian , Samyadeep Basu , Soheil Feizi

Reasoning-capable large language models (LLMs) achieve strong performance on complex tasks but often exhibit overthinking after distillation, generating unnecessarily long chain-of-thought (CoT) reasoning even for simple inputs and…

Computation and Language · Computer Science 2026-01-09 Feng Luo , Yu-Neng Chuang , Guanchu Wang , Hoang Anh Duy Le , Shaochen Zhong , Hongyi Liu , Jiayi Yuan , Yang Sui , Vladimir Braverman , Vipin Chaudhary , Xia Hu

While long, explicit chains-of-thought (CoT) have proven effective on complex reasoning tasks, they are costly to generate during inference. Non-verbal reasoning methods have emerged with shorter generation lengths by leveraging continuous…

Computation and Language · Computer Science 2026-04-28 Keshav Ramji , Tahira Naseem , Ramón Fernandez Astudillo

In-context learning (ICL) enhances large language models (LLMs) by incorporating demonstration examples, yet its effectiveness heavily depends on the quality of selected examples. Current methods typically use text embeddings to measure…

Artificial Intelligence · Computer Science 2025-12-02 Jiale Fu , Yaqing Wang , Simeng Han , Jiaming Fan , Xu Yang

Large language models (LLMs) have achieved impressive performance on various reasoning tasks. To further improve the performance, we propose MultiTool-CoT, a novel framework that leverages chain-of-thought (CoT) prompting to incorporate…

Computation and Language · Computer Science 2023-05-29 Tatsuro Inaba , Hirokazu Kiyomaru , Fei Cheng , Sadao Kurohashi

The recent development of chain-of-thought (CoT) decoding has enabled large language models (LLMs) to generate explicit logical reasoning paths for complex problem-solving. However, research indicates that these paths are not always…

Computation and Language · Computer Science 2024-11-01 Xuan Zhang , Chao Du , Tianyu Pang , Qian Liu , Wei Gao , Min Lin

Chain-of-Thought (CoT) and Program-Aided Language Models (PAL) represent two distinct reasoning methods, each with its own strengths. CoT employs natural language, offering flexibility and interpretability, while PAL utilizes programming…

Computation and Language · Computer Science 2023-10-24 James Xu Zhao , Yuxi Xie , Kenji Kawaguchi , Junxian He , Michael Qizhe Xie

Large language models (LLMs), while exhibiting exceptional performance, suffer from hallucinations, especially on knowledge-intensive tasks. Existing works propose to augment LLMs with individual text units retrieved from external knowledge…

Computation and Language · Computer Science 2024-10-04 Bowen Jin , Chulin Xie , Jiawei Zhang , Kashob Kumar Roy , Yu Zhang , Zheng Li , Ruirui Li , Xianfeng Tang , Suhang Wang , Yu Meng , Jiawei Han

Reasoning large language models (RLLMs) have recently demonstrated remarkable capabilities through structured and multi-step reasoning. While prior research has primarily focused on improving their training and inference strategies, their…

Computation and Language · Computer Science 2025-10-14 Haotian Wu , Bo Xu , Yao Shu , Menglin Yang , Chengwei Qin

Intuitive learning is crucial for developing deep conceptual understanding, especially in STEM education, where students often struggle with abstract and interconnected concepts. Automatic question generation has become an effective…

Artificial Intelligence · Computer Science 2026-01-13 Nicholas X. Wang , Neel V. Parpia , Aaryan D. Parikh , Aggelos K. Katsaggelos

Chain-of-thought (CoT), tree-of-thought (ToT), and related techniques work surprisingly well in practice for some complex reasoning tasks with Large Language Models (LLMs), but why? This work seeks the underlying reasons by conducting…

Artificial Intelligence · Computer Science 2024-06-19 Liwei Kang , Zirui Zhao , David Hsu , Wee Sun Lee

The chain-of-thought (CoT) paradigm uses the elicitation of step-by-step rationales as a proxy for reasoning, gradually refining the model's latent representation of a solution. However, it remains unclear just how early a Large Language…

Computation and Language · Computer Science 2025-11-20 Joey David

Chain-of-Thought (CoT) prompting has significantly enhanced the mathematical reasoning capabilities of Large Language Models. We find existing fine-tuning datasets frequently suffer from the "answer right but reasoning wrong" probelm, where…

Artificial Intelligence · Computer Science 2026-01-13 Zihang Li , Yuhang Wang , Yikun Zong , Wenhan Yu , Xiaokun Yuan , Runhan Jiang , Zirui Liu , Tong Yang , Arthur Jiang

Reasoning large language models (LLMs) have demonstrated superior capacities in solving complicated problems by generating long chain-of-thoughts (CoT), but such a lengthy CoT incurs high inference costs. Previous methods on inference-stage…

Computation and Language · Computer Science 2026-05-19 Minjia Mao , Bowen Yin , Yu Zhu , Xiao Fang

Despite rapid advancements in large language models (LLMs), the token-level autoregressive nature constrains their complex reasoning capabilities. To enhance LLM reasoning, inference-time techniques, including…

Artificial Intelligence · Computer Science 2026-01-28 Qianyue Hao , Sibo Li , Jian Yuan , Yong Li

Science and engineering problems fall in the category of complex conceptual problems that require specific conceptual information (CI) like math/logic -related know-how, process information, or engineering guidelines to solve them. Large…

Computation and Language · Computer Science 2024-12-23 Nishtha N. Vaidya , Thomas Runkler , Thomas Hubauer , Veronika Haderlein-Hoegberg , Maja Mlicic Brandt

Large language models (LLMs) have demonstrated remarkable capabilities in complex reasoning tasks. However, they remain highly susceptible to jailbreak attacks that undermine their safety alignment. Existing defense mechanisms typically…

Cryptography and Security · Computer Science 2026-03-17 Yu Pan , Wenlong Yu , Tiejun Wu , Xiaohu Ye , Qiannan Si , Guangquan Xu , Bin Wu

Large language models (LLMs) have dramatically enhanced the field of language intelligence, as demonstrably evidenced by their formidable empirical performance across a spectrum of complex reasoning tasks. Additionally, theoretical proofs…

Computation and Language · Computer Science 2023-11-21 Zhuosheng Zhang , Yao Yao , Aston Zhang , Xiangru Tang , Xinbei Ma , Zhiwei He , Yiming Wang , Mark Gerstein , Rui Wang , Gongshen Liu , Hai Zhao

Large Language Models (LLMs) often struggle with complex reasoning tasks due to insufficient in-depth insights in their training data, which are typically absent in publicly available documents. This paper introduces the Chain of…

Computation and Language · Computer Science 2025-06-10 Cong Liu , Jie Wu , Weigang Wu , Xu Chen , Liang Lin , Wei-Shi Zheng