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Large language models (LLMs) have revolutionized many areas (e.g. natural language processing, software engineering, etc.) by achieving state-of-the-art performance on extensive downstream tasks. Aiming to achieve robust and general…

Artificial Intelligence · Computer Science 2024-01-18 Zhiming Li , Yushi Cao , Xiufeng Xu , Junzhe Jiang , Xu Liu , Yon Shin Teo , Shang-wei Lin , Yang Liu

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

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

Large Language Models (LLMs) have shown outstanding performance across a variety of tasks, partly due to advanced prompting techniques. However, these techniques often require lengthy prompts, which increase computational costs and can…

Computation and Language · Computer Science 2025-04-16 Jinwu Hu , Wei Zhang , Yufeng Wang , Yu Hu , Bin Xiao , Mingkui Tan , Qing Du

To improve Multi-step Mathematical Reasoning (MsMR) of Large Language Models (LLMs), it is crucial to obtain scalable supervision from the corpus by automatically critiquing mistakes in the reasoning process of MsMR and rendering a final…

Computation and Language · Computer Science 2025-11-14 Changyuan Tian , Zhicong Lu , Shuang Qian , Nayu Liu , Peiguang Li , Li Jin , Leiyi Hu , Zhizhao Zeng , Sirui Wang , Ke Zeng , Zhi Guo

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) 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

Large language models (LLMs) continue to struggle with mathematical reasoning, and common post-training pipelines often reduce each generated solution to a binary outcome: correct or incorrect. This perspective is limiting in practice, as…

Machine Learning · Computer Science 2026-04-15 Haocheng Lu , Minjun Zhu , Henry Yu

Large reasoning models (LRMs) like OpenAI-o1 have shown impressive capabilities in natural language reasoning. However, these models frequently demonstrate inefficiencies or inaccuracies when tackling complex mathematical operations. While…

Computation and Language · Computer Science 2025-10-24 Chengpeng Li , Zhengyang Tang , Ziniu Li , Mingfeng Xue , Keqin Bao , Tian Ding , Ruoyu Sun , Benyou Wang , Xiang Wang , Junyang Lin , Dayiheng Liu

The enhancement of mathematical capabilities in large language models (LLMs) fosters new developments in mathematics education within primary and secondary schools, particularly as they relate to intelligent tutoring systems. However, LLMs…

Computation and Language · Computer Science 2025-07-08 Zhenquan Shen , Xinguo Yu , Xiaotian Cheng , Rao Peng , Hao Ming

Test-time scaling via explicit reasoning trajectories significantly boosts large language model (LLM) performance but often triggers overthinking. To explore this, we analyze reasoning through two lenses: Reasoning Length Dynamics, which…

Computation and Language · Computer Science 2026-01-14 Zihao Wei , Liang Pang , Jiahao Liu , Wenjie Shi , Jingcheng Deng , Shicheng Xu , Zenghao Duan , Fei Sun , Huawei Shen , Xueqi Cheng

Recent advancements in Large Language Models (LLMs) have significantly improved their problem-solving capabilities. However, these models still struggle when faced with complex multi-step reasoning tasks. In this paper, we propose the…

Computation and Language · Computer Science 2025-12-04 André de Souza Loureiro , Jorge Valverde-Rebaza , Julieta Noguez , David Escarcega , Ricardo Marcacini

While forward reasoning (i.e., find the answer given the question) has been explored extensively in recent literature, backward reasoning is relatively unexplored. We examine the backward reasoning capabilities of LLMs on Math Word Problems…

Computation and Language · Computer Science 2024-07-09 Aniruddha Deb , Neeva Oza , Sarthak Singla , Dinesh Khandelwal , Dinesh Garg , Parag Singla

While Vision-Language Models (VLMs) have shown remarkable abilities in visual and language reasoning tasks, they invariably generate flawed responses. Self-correction that instructs models to refine their outputs presents a promising…

Computation and Language · Computer Science 2025-06-06 Jiayi He , Hehai Lin , Qingyun Wang , Yi Fung , Heng Ji

Software vulnerability detection is generally supported by automated static analysis tools, which have recently been reinforced by deep learning (DL) models. However, despite the superior performance of DL-based approaches over rule-based…

Software Engineering · Computer Science 2024-05-03 Yanjing Yang , Xin Zhou , Runfeng Mao , Jinwei Xu , Lanxin Yang , Yu Zhangm , Haifeng Shen , He Zhang

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Reasoning post-training improves Large Language Models (LLMs) on complex tasks such as mathematics and coding, but its benefits across diverse multimodal tasks remains uncertain. The trend of releasing parallel "Instruct" and "Thinking"…

Computation and Language · Computer Science 2026-05-12 Ruobing Zheng , Tianqi Li , Jianing Li , Qingpei Guo , Yi Yuan , Jingdong Chen

Mathematical reasoning, a core ability of human intelligence, presents unique challenges for machines in abstract thinking and logical reasoning. Recent large pre-trained language models such as GPT-3 have achieved remarkable progress on…

Machine Learning · Computer Science 2023-03-03 Pan Lu , Liang Qiu , Kai-Wei Chang , Ying Nian Wu , Song-Chun Zhu , Tanmay Rajpurohit , Peter Clark , Ashwin Kalyan

Showing incorrect answers to Large Language Models (LLMs) is a popular strategy to improve their performance in reasoning-intensive tasks. It is widely assumed that, in order to be helpful, the incorrect answers must be accompanied by…

Computation and Language · Computer Science 2025-09-23 Lisa Alazraki , Maximilian Mozes , Jon Ander Campos , Tan Yi-Chern , Marek Rei , Max Bartolo

Math Word Problems (MWPs) play a vital role in assessing the capabilities of Large Language Models (LLMs), yet current research primarily focuses on questions with concise contexts. The impact of longer contexts on mathematical reasoning…

Computation and Language · Computer Science 2025-02-27 Xin Xu , Tong Xiao , Zitong Chao , Zhenya Huang , Can Yang , Yang Wang