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Chain-of-Thought (CoT) prompting enables large language models to solve complex reasoning problems by generating intermediate steps. However, confined by its inherent single-pass and sequential generation process, CoT heavily relies on the…

Computation and Language · Computer Science 2023-11-03 Jingyuan Qi , Zhiyang Xu , Ying Shen , Minqian Liu , Di Jin , Qifan Wang , Lifu Huang

Mathematical reasoning poses significant challenges for Large Language Models (LLMs) due to its demand for multi-step reasoning and abstract conceptual integration. While recent test-time scaling techniques rely heavily on high-quality,…

Artificial Intelligence · Computer Science 2025-09-25 Zhuofan Chen , Jiyuan He , Yichi Zhang , Xing Hu , Haoxing Wen , Jun Bai , Wenge Rong

Recent large language models support inputs of up to 10 million tokens, yet they perform poorly on long-context tasks that require complex reasoning. Such tasks can be solved using only a subset of the input -- a proxy context -- rather…

Computation and Language · Computer Science 2026-05-25 Miao Li , Irina Saparina , Alexander Gurung , Mirella Lapata

The verbosity of Chain-of-Thought (CoT) reasoning hinders its mass deployment in efficiency-critical applications. Recently, implicit CoT approaches have emerged, which encode reasoning steps within LLM's hidden embeddings (termed…

Computation and Language · Computer Science 2026-01-28 Yinhan He , Wendy Zheng , Yaochen Zhu , Zaiyi Zheng , Lin Su , Sriram Vasudevan , Qi Guo , Liangjie Hong , Jundong Li

The increasing scale of large language models (LLMs) brings emergent abilities to various complex tasks requiring reasoning, such as arithmetic and commonsense reasoning. It is known that the effective design of task-specific prompts is…

Computation and Language · Computer Science 2024-07-23 Shizhe Diao , Pengcheng Wang , Yong Lin , Rui Pan , Xiang Liu , Tong Zhang

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

Instructing large language models (LLMs) to solve elementary school math problems has shown great success using Chain of Thought (CoT). However, the CoT approach relies on an LLM to generate a sequence of arithmetic calculations which can…

Computation and Language · Computer Science 2024-05-29 Xiaocheng Yang , Bingsen Chen , Yik-Cheung Tam

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

This paper addresses two limitations of large language models (LLMs) in solving complex problems: (1) their reasoning processes exhibit Bayesian-like stochastic generation, where each token is sampled from a context-dependent probability…

Artificial Intelligence · Computer Science 2026-04-20 Lei Lin , Jizhao Zhu , Yong Liu , Donghong Sun , Hongbo He , Yihua Du

Chain-of-thought prompting significantly boosts the reasoning ability of large language models but still faces three issues: hallucination problem, restricted interpretability, and uncontrollable generation. To address these challenges, we…

Computation and Language · Computer Science 2024-09-20 Chen Liang , Zhifan Feng , Zihe Liu , Wenbin Jiang , Jinan Xu , Yufeng Chen , Yong Wang

While Chain-of-Thought (CoT) reasoning improves model performance, it incurs significant time costs due to the generation of discrete CoT tokens (DCoT). Continuous CoT (CCoT) offers a more efficient alternative, but existing CCoT methods…

Computation and Language · Computer Science 2025-08-04 Jianwei Wang , Ziming Wu , Fuming Lai , Shaobing Lian , Ziqian Zeng

Large Language Models (LLMs) perform best with well-crafted prompts, yet prompt engineering remains manual, inconsistent, and inaccessible to non-experts. We introduce Promptomatix, an automatic prompt optimization framework that transforms…

Computation and Language · Computer Science 2025-07-28 Rithesh Murthy , Ming Zhu , Liangwei Yang , Jielin Qiu , Juntao Tan , Shelby Heinecke , Caiming Xiong , Silvio Savarese , Huan Wang

Recent works have shown that chain-of-thought (CoT) prompting can elicit language models to solve complex reasoning tasks, step-by-step. However, prompt-based CoT methods are dependent on very large models such as GPT-3 175B which are…

Computation and Language · Computer Science 2023-06-14 Namgyu Ho , Laura Schmid , Se-Young Yun

Chain-of-Thought (CoT) reasoning enables Large Language Models (LLMs) to solve complex reasoning tasks by generating intermediate reasoning steps. However, most existing approaches focus on hard token decoding, which constrains reasoning…

Computation and Language · Computer Science 2025-05-28 Yige Xu , Xu Guo , Zhiwei Zeng , Chunyan Miao

Computing olympiads contain some of the most challenging problems for humans, requiring complex algorithmic reasoning, puzzle solving, in addition to generating efficient code. However, it has been understudied as a domain to evaluate…

Computation and Language · Computer Science 2024-04-18 Quan Shi , Michael Tang , Karthik Narasimhan , Shunyu Yao

Self-correction is emerging as a promising approach to mitigate the issue of hallucination in Large Language Models (LLMs). To facilitate effective self-correction, recent research has proposed mistake detection as its initial step.…

Computation and Language · Computer Science 2025-06-04 Zhuoxuan Jiang , Haoyuan Peng , Shanshan Feng , Fan Li , Dongsheng Li

Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical…

Machine Learning · Computer Science 2026-05-26 Yuntian Tang , Bohan Jia , Wenxuan Huang , Lianyue Zhang , Jiao Xie , Wenxi Li , Wei Li , Jie Hu , Xinghao Chen Rongrong Ji , Shaohui Lin

The emergence of large reasoning models (LRMs) has transformed Natural Language Processing by excelling in complex tasks such as mathematical problem-solving and code generation. These models leverage chain-of-thought (CoT) processes,…

Computation and Language · Computer Science 2025-05-19 Wenrui Cai , Chengyu Wang , Junbing Yan , Jun Huang , Xiangzhong Fang

Chain of Thought (CoT) prompting can encourage language models to engage in multi-step logical reasoning. The quality of the provided demonstrations significantly influences the success of downstream inference tasks. Current unsupervised…

Computation and Language · Computer Science 2025-05-27 Yufeng Zhang , Xuepeng Wang , Lingxiang Wu , Jinqiao Wang

Chain-of-thought (CoT) reasoning has enabled large language models (LLMs) to utilize additional computation through intermediate tokens to solve complex tasks. However, we posit that typical reasoning traces contain many redundant tokens,…

Computation and Language · Computer Science 2025-06-11 Tergel Munkhbat , Namgyu Ho , Seo Hyun Kim , Yongjin Yang , Yujin Kim , Se-Young Yun