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Large language models have achieved substantial progress in mathematical reasoning, yet their advancement is limited by the scarcity of high-quality, high-difficulty training data. Existing synthesis methods largely rely on transforming…

Computation and Language · Computer Science 2026-03-10 Shaoxiong Zhan , Yanlin Lai , Ziyu Lu , Dahua Lin , Ziqing Yang , Fei Tan

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic solvers to improve logical…

Computation and Language · Computer Science 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

The reasoning capability of large language models (LLMs), defined as their ability to analyze, infer, and make decisions based on input information, is essential for building intelligent task-oriented dialogue systems. However, existing…

Computation and Language · Computer Science 2026-03-02 Yu Zhu , Kai Yang

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

In mathematical reasoning tasks, the advancement of Large Language Models (LLMs) relies heavily on high-quality training data with clearly defined and well-graded difficulty levels. However, existing data synthesis methods often suffer from…

Machine Learning · Computer Science 2026-01-27 Xuchen Li , Jing Chen , Xuzhao Li , Hao Liang , Xiaohuan Zhou , Taifeng Wang , Wentao Zhang

Mathematical reasoning remains challenging for LLMs due to complex logic and the need for precise computation. Existing methods enhance LLM reasoning by synthesizing datasets through problem rephrasing, but face issues with generation…

Computation and Language · Computer Science 2025-06-12 Lei Xu , Sirui Chen , Yuxuan Huang , Chaochao Lu

Logical reasoning is fundamental for humans yet presents a substantial challenge in the domain of Artificial Intelligence. Initially, researchers used Knowledge Representation and Reasoning (KR) systems that did not scale and required…

Computation and Language · Computer Science 2024-04-02 Man Luo , Shrinidhi Kumbhar , Ming shen , Mihir Parmar , Neeraj Varshney , Pratyay Banerjee , Somak Aditya , Chitta Baral

Small language models (SLMs) are promising for real-world deployment due to their efficiency and low operational cost. However, their limited capacity struggles with high-stakes legal reasoning tasks that require coherent statute…

Computation and Language · Computer Science 2026-04-28 Tianchun Li , Haochen Liu , Vishwa Pardeshi , Xingchen Wang , Tianci Liu , Huijun Zhao , Wei Fan , Jing Gao

Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou

Many reasoning, planning, and problem-solving tasks share an intrinsic algorithmic nature: correctly simulating each step is a sufficient condition to solve them correctly. We collect pairs of naturalistic and synthetic reasoning tasks to…

Large language models (LLMs) are a promising venue for natural language understanding and generation. However, current LLMs are far from reliable: they are prone to generating non-factual information and, more crucially, to contradicting…

Computation and Language · Computer Science 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

Logical reasoning is a fundamental aspect of human intelligence and a key component of tasks like problem-solving and decision-making. Recent advancements have enabled Large Language Models (LLMs) to potentially exhibit reasoning…

Computation and Language · Computer Science 2023-11-13 Jiazhan Feng , Ruochen Xu , Junheng Hao , Hiteshi Sharma , Yelong Shen , Dongyan Zhao , Weizhu Chen

Recent advances such as OpenAI-o1 and DeepSeek R1 have demonstrated the potential of Reinforcement Learning (RL) to enhance reasoning abilities in Large Language Models (LLMs). While open-source replication efforts have primarily focused on…

Mathematical reasoning remains one of the most challenging domains for large language models (LLMs), requiring not only linguistic understanding but also structured logical deduction and numerical precision. While recent LLMs demonstrate…

Computation and Language · Computer Science 2026-01-27 Mahbub E Sobhani , Md. Faiyaz Abdullah Sayeedi , Tasnim Mohiuddin , Md Mofijul Islam , Swakkhar Shatabda

Large language models (LLMs) have shown impressive promise in code generation, yet their progress remains limited by the shortage of large-scale datasets that are both diverse and well-aligned with human reasoning. Most existing resources…

Machine Learning · Computer Science 2025-10-28 Amal Abed , Ivan Lukic , Jörg K. H. Franke , Frank Hutter

Large language models (LLMs) perform strongly on many language tasks but still struggle with complex multi-step reasoning across disciplines. Existing reasoning datasets often lack disciplinary breadth, reasoning depth, and diversity, as…

Computation and Language · Computer Science 2026-02-03 Weize Liu , Yongchi Zhao , Yijia Luo , Mingyu Xu , Jiaheng Liu , Yanan Li , Xiguo Hu , Zhiqi Bai , Yuchi Xu , Wenbo Su , Bo Zheng

Large Language Models (LLMs) have shown impressive progress in mathematical reasoning. While data augmentation is promising to enhance mathematical problem-solving ability, current approaches are predominantly limited to instance-level…

Computation and Language · Computer Science 2025-06-17 Qizhi Pei , Lijun Wu , Zhuoshi Pan , Yu Li , Honglin Lin , Chenlin Ming , Xin Gao , Conghui He , Rui Yan

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

Training models on synthetic data has emerged as an increasingly important strategy for improving the performance of generative AI. This approach is particularly helpful for large multimodal models (LMMs) due to the relative scarcity of…

Artificial Intelligence · Computer Science 2026-01-13 Gabriela Ben Melech Stan , Estelle Aflalo , Avinash Madasu , Vasudev Lal , Phillip Howard

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari
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