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Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Tool-Integrated Reasoning has emerged as a key paradigm to augment Large Language Models (LLMs) with computational capabilities, yet integrating tool-use into long Chain-of-Thought (long CoT) remains underexplored, largely due to the…

Computation and Language · Computer Science 2026-01-19 Kun Li , Zenan Xu , Junan Li , Zengrui Jin , Jinghao Deng , Zexuan Qiu , Bo Zhou

Large language models (LLMs) have shown remarkable reasoning capabilities, especially when prompted to generate intermediate reasoning steps (e.g., Chain-of-Thought, CoT). However, LLMs can still struggle with problems that are easy for…

Computation and Language · Computer Science 2023-10-24 Shibo Hao , Yi Gu , Haodi Ma , Joshua Jiahua Hong , Zhen Wang , Daisy Zhe Wang , Zhiting Hu

Large Language Models (LLMs), when enhanced through reasoning-oriented post-training, evolve into powerful Large Reasoning Models (LRMs). Tool-Integrated Reasoning (TIR) further extends their capabilities by incorporating external tools,…

Computation and Language · Computer Science 2025-07-30 Yifan Wei , Xiaoyan Yu , Yixuan Weng , Tengfei Pan , Angsheng Li , Li Du

Large language models (LLMs) have recently shown strong progress on scientific reasoning, yet two major bottlenecks remain. First, explicit retrieval fragments reasoning, imposing a hidden "tool tax" of extra tokens and steps. Second,…

Mathematical reasoning and optimization are fundamental to artificial intelligence and computational problem-solving. Recent advancements in Large Language Models (LLMs) have significantly improved AI-driven mathematical reasoning, theorem…

Artificial Intelligence · Computer Science 2025-03-25 Ali Forootani

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

In theorem proving, the task of selecting useful premises from a large library to unlock the proof of a given conjecture is crucially important. This presents a challenge for all theorem provers, especially the ones based on language…

Artificial Intelligence · Computer Science 2022-05-24 Albert Q. Jiang , Wenda Li , Szymon Tworkowski , Konrad Czechowski , Tomasz Odrzygóźdź , Piotr Miłoś , Yuhuai Wu , Mateja Jamnik

Chain-of-thought prompting~(CoT) and tool augmentation have been validated in recent work as effective practices for improving large language models~(LLMs) to perform step-by-step reasoning on complex math-related tasks. However, most…

Computation and Language · Computer Science 2023-06-06 Beichen Zhang , Kun Zhou , Xilin Wei , Wayne Xin Zhao , Jing Sha , Shijin Wang , Ji-Rong Wen

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Large language models (LLMs) have scaled up to unlock a wide range of complex reasoning tasks with the aid of various prompting methods. However, current prompting methods generate natural language intermediate steps to help reasoning,…

Computation and Language · Computer Science 2023-10-10 Yi Hu , Haotong Yang , Zhouchen Lin , Muhan Zhang

In fine-tuning large language models (LLMs), conserving computational resources while maintaining effectiveness and improving outcomes within the same computational constraints is crucial. The Low-Rank Adaptation (LoRA) strategy balances…

Machine Learning · Computer Science 2024-09-05 Xiaojun Xiao , Sen Shen , Qiming Bao , Hongfei Rong , Kairui Liu , Zhongsheng Wang , Jiamou Liu

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

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

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) have demonstrated impressive capabilities in reasoning using Chain-of-Thought (CoT) prompting. However, CoT can be biased by users' instruction. In this work, we study the reasoning robustness of LLMs to…

Computation and Language · Computer Science 2024-11-11 Esther Gan , Yiran Zhao , Liying Cheng , Yancan Mao , Anirudh Goyal , Kenji Kawaguchi , Min-Yen Kan , Michael Shieh

Test-Time Scaling (TTS) improves the performance of Large Language Models (LLMs) by using additional inference-time computation to explore multiple reasoning paths through search. Yet how to allocate a fixed rollout budget most effectively…

Machine Learning · Computer Science 2025-10-21 Xinglin Wang , Yiwei Li , Shaoxiong Feng , Peiwen Yuan , Yueqi Zhang , Jiayi Shi , Chuyi Tan , Boyuan Pan , Yao Hu , Kan Li

Chain-of-thought (CoT) reasoning boosts large language models' (LLMs) performance on complex tasks but faces two key limitations: a lack of reliability when solely relying on LLM-generated reasoning chains and lower reasoning performance…

Computation and Language · Computer Science 2025-09-11 Feiyang Li , Peng Fang , Zhan Shi , Arijit Khan , Fang Wang , Weihao Wang , Xin Zhang , Yongjian Cui

Recent advances in large language models (LLMs) and multimodal LLMs (MLLMs) have led to strong reasoning ability across a wide range of tasks. However, their ability to perform mathematical reasoning from spoken input remains underexplored.…

Computation and Language · Computer Science 2025-05-22 Chengwei Wei , Bin Wang , Jung-jae Kim , Nancy F. Chen

Large language models (LLMs) face persistent challenges when handling long-context tasks, most notably the lost in the middle issue, where information located in the middle of a long input tends to be underutilized. Some existing methods…

Artificial Intelligence · Computer Science 2025-10-22 Song Yu , Xiaofei Xu , Ke Deng , Li Li , Lin Tian