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Algorithmic reasoning refers to the ability to understand the complex patterns behind the problem and decompose them into a sequence of reasoning steps towards the solution. Such nature of algorithmic reasoning makes it a challenge for…

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

Mathematical reasoning is a hallmark of human intelligence, and whether large language models (LLMs) can meaningfully perform it remains a central question in artificial intelligence and cognitive science. As LLMs are increasingly…

Computation and Language · Computer Science 2026-04-03 Linyang He , Qiyao Yu , Hanze Dong , Baohao Liao , Xinxing Xu , Micah Goldblum , Jiang Bian , Nima Mesgarani

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

While Pre-trained Language Models (PLMs) internalize a great amount of world knowledge, they have been shown incapable of recalling these knowledge to solve tasks requiring complex & multi-step reasoning. Similar to how humans develop a…

Computation and Language · Computer Science 2022-10-25 Boshi Wang , Xiang Deng , Huan Sun

State-of-the-art large language models (LLMs) exhibit impressive problem-solving capabilities but may struggle with complex reasoning and factual correctness. Existing methods harness the strengths of chain-of-thought and…

Computation and Language · Computer Science 2024-10-03 Xingxuan Li , Weiwen Xu , Ruochen Zhao , Fangkai Jiao , Shafiq Joty , Lidong Bing

This paper presents a novel framework for enhancing reasoning capabilities in large language models (LLMs) by leveraging iterative reasoning and feedback-driven methodologies. Building on the limitations identified in the SimpleBench…

Computation and Language · Computer Science 2024-12-18 Soham Sane , Angus McLean

Software issue resolution aims to address real-world issues in software repositories (e.g., bug fixing and efficiency optimization) based on natural language descriptions provided by users, representing a key aspect of software maintenance.…

Software Engineering · Computer Science 2025-12-30 Zhonghao Jiang , David Lo , Zhongxin Liu

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

This work addresses the 3D situated reasoning task which aims to answer questions given egocentric observations in a 3D environment. The task remains challenging as it requires comprehensive 3D perception and complex reasoning skills.…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Qingrong He , Kejun Lin , Shizhe Chen , Anwen Hu , Qin Jin

Automatically generating high-quality step-by-step solutions to math word problems has many applications in education. Recently, combining large language models (LLMs) with external tools to perform complex reasoning and calculation has…

Computation and Language · Computer Science 2023-04-19 Joy He-Yueya , Gabriel Poesia , Rose E. Wang , Noah D. Goodman

Test-time scaling has enabled Large Language Models (LLMs) with remarkable reasoning capabilities, particularly in mathematical domains, through intermediate chain-of-thought (CoT) reasoning before generating final answers. However, the…

Machine Learning · Computer Science 2025-10-21 Binxin Gao , Jingjun Han

Large language models (LLMs) have shown increasing in-context learning capabilities through scaling up model and data size. Despite this progress, LLMs are still unable to solve algorithmic reasoning problems. While providing a rationale…

Machine Learning · Computer Science 2022-11-17 Hattie Zhou , Azade Nova , Hugo Larochelle , Aaron Courville , Behnam Neyshabur , Hanie Sedghi

Large Language Models (LLMs) have shown strong performance on code understanding tasks, yet they fundamentally lack the ability to perform precise, exhaustive mathematical reasoning about program behavior. Existing benchmarks either focus…

Recent advances in reasoning with large language models (LLMs) have demonstrated strong performance on complex mathematical tasks, including combinatorial optimization. Techniques such as Chain-of-Thought and In-Context Learning have…

Artificial Intelligence · Computer Science 2025-09-17 Marylou Fauchard , Florian Carichon , Margarida Carvalho , Golnoosh Farnadi

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

Training large language models (LLMs) with synthetic reasoning data has become a popular approach to enhancing their reasoning capabilities, while a key factor influencing the effectiveness of this paradigm is the quality of the generated…

Artificial Intelligence · Computer Science 2026-03-24 Zhuojie Yang , Wentao Wan , Keze Wang

Recent advancements in large language models (LLMs) have shown remarkable progress, yet their ability to solve complex problems remains limited. In this work, we introduce Cumulative Reasoning (CR), a structured framework that enhances LLM…

Artificial Intelligence · Computer Science 2026-05-22 Yifan Zhang , Jingqin Yang , Yang Yuan , Andrew Chi-Chih Yao

As large language models (LLMs) advance their mathematical capabilities toward the IMO level, the scarcity of challenging, high-quality problems for training and evaluation has become a significant bottleneck. Simultaneously, recent code…

Computation and Language · Computer Science 2026-03-05 Dadi Guo , Yuejin Xie , Qingyu Liu , Jiayu Liu , Zhiyuan Fan , Qihan Ren , Shuai Shao , Tianyi Zhou , Dongrui Liu , Yi R. Fung

Reasoning is a fundamental cognitive process that enables logical inference, problem-solving, and decision-making. With the rapid advancement of large language models (LLMs), reasoning has emerged as a key capability that distinguishes…