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Synthetic data augmentation via large language models (LLMs) allows researchers to leverage additional training data, thus enhancing the performance of downstream tasks, especially when real-world data is scarce. However, the generated data…

Machine Learning · Computer Science 2025-03-25 Hsun-Yu Kuo , Yin-Hsiang Liao , Yu-Chieh Chao , Wei-Yun Ma , Pu-Jen Cheng

In this paper, we propose a new data synthesis method called \textbf{LogicPro}, which leverages LeetCode-style algorithm \underline{Pro}blems and their corresponding \underline{Pro}gram solutions to synthesize Complex \underline{Logic}al…

Computation and Language · Computer Science 2025-09-08 Jin Jiang , Yuchen Yan , Yang Liu , Jianing Wang , Shuai Peng , Xunliang Cai , Yixin Cao , Mengdi Zhang , Liangcai Gao

Despite recent advances in training and prompting strategies for Large Language Models (LLMs), these models continue to face challenges with complex logical reasoning tasks that involve long reasoning chains. In this work, we explore the…

Computation and Language · Computer Science 2024-12-18 Jiaming Zhou , Abbas Ghaddar , Ge Zhang , Liheng Ma , Yaochen Hu , Soumyasundar Pal , Mark Coates , Bin Wang , Yingxue Zhang , Jianye Hao

Large language models (LLMs) are designed to perform a wide range of tasks. To improve their ability to solve complex problems requiring multi-step reasoning, recent research leverages process reward modeling to provide fine-grained…

Computation and Language · Computer Science 2025-09-29 Weixuan Wang , Minghao Wu , Barry Haddow , Alexandra Birch

Large language models (LLMs) have exhibited great potential in mathematical reasoning. However, there remains a performance gap in this area between existing open-source models and closed-source models such as GPT-4. In this paper, we…

Computation and Language · Computer Science 2024-09-12 Zimu Lu , Aojun Zhou , Houxing Ren , Ke Wang , Weikang Shi , Junting Pan , Mingjie Zhan , Hongsheng Li

Due to the remarkable language understanding and generation abilities of large language models (LLMs), their use in educational applications has been explored. However, little work has been done on investigating the pedagogical ability of…

Computation and Language · Computer Science 2023-10-23 An-Zi Yen , Wei-Ling Hsu

A Large Language Model (LLM) represents a cutting-edge artificial intelligence model that generates coherent content, including grammatically precise sentences, human-like paragraphs, and syntactically accurate code snippets. LLMs can play…

Software Engineering · Computer Science 2023-12-11 Robson Santos , Italo Santos , Cleyton Magalhaes , Ronnie de Souza Santos

The rapid progress in the field of natural language processing (NLP) systems and the expansion of large language models (LLMs) have opened up numerous opportunities in the field of education and instructional methods. These advancements…

Computation and Language · Computer Science 2024-04-23 Avinash Anand , Mohit Gupta , Kritarth Prasad , Navya Singla , Sanjana Sanjeev , Jatin Kumar , Adarsh Raj Shivam , Rajiv Ratn Shah

While large language models (LLMs) have demonstrated impressive capabilities across various natural language processing tasks by acquiring rich factual knowledge from their broad training data, their ability to synthesize and logically…

Computation and Language · Computer Science 2024-07-31 Tianshi Zheng , Jiaxin Bai , Yicheng Wang , Tianqing Fang , Yue Guo , Yauwai Yim , Yangqiu Song

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

Large Language Models (LLMs) are increasingly described as possessing strong reasoning capabilities, supported by high performance on mathematical, logical, and planning benchmarks. However, most existing evaluations rely on aggregate…

Computation and Language · Computer Science 2026-04-16 Md. Fahad Ullah Utsho , Mohd. Ruhul Ameen , Akif Islam , Md. Golam Rashed , Dipankar Das

We present a novel benchmark designed to rigorously evaluate the capabilities of large language models (LLMs) in mathematical reasoning and algorithmic code synthesis tasks. The benchmark comprises integer sequence generation tasks sourced…

Machine Learning · Computer Science 2025-11-11 Daniel O'Malley , Manish Bhattarai , Nishath Rajiv Ranasinghe , Erick Draayer , Javier Santos

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled

Large Language Models (LLMs) achieve impressive performance in a wide range of tasks, even if they are often trained with the only objective of chatting fluently with users. Among other skills, LLMs show emergent abilities in mathematical…

Computation and Language · Computer Science 2024-06-12 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Large language models (LLMs) achieve strong performance across diverse tasks, largely driven by high-quality web data used in pre-training. However, recent studies indicate this data source is rapidly depleting. Synthetic data emerges as a…

With the rapid development of large language models (LLMs), the quality of training data has become crucial. Among the various types of training data, mathematical data plays a key role in enabling LLMs to acquire strong reasoning…

Computation and Language · Computer Science 2025-02-27 Hao Liang , Meiyi Qiang , Yuying Li , Zefeng He , Yongzhen Guo , Zhengzhou Zhu , Wentao Zhang , Bin Cui

While large language models (LLMs) equipped with techniques like chain-of-thought prompting have demonstrated impressive capabilities, they still fall short in their ability to reason robustly in complex settings. However, evaluating LLM…

Computation and Language · Computer Science 2024-03-26 Zayne Sprague , Xi Ye , Kaj Bostrom , Swarat Chaudhuri , Greg Durrett

Large language models (LLMs) have exhibited impressive capabilities across a myriad of tasks, yet they occasionally yield undesirable outputs. We posit that these limitations are rooted in the foundational autoregressive architecture of…

Computation and Language · Computer Science 2025-03-03 Cheng Yang , Chufan Shi , Siheng Li , Bo Shui , Yujiu Yang , Wai Lam

Large Language Models (LLMs) increasingly exhibit strong reasoning abilities, often attributed to their capacity to generate chain-of-thought-style intermediate reasoning. Recent work suggests that exposure to code can further enhance these…

Machine Learning · Computer Science 2026-01-30 Lukas Twist , Shu Yang , Hanqi Yan , Jingzhi Gong , Di Wang , Helen Yannakoudakis , Jie M. Zhang

This paper investigates the mathematical reasoning capabilities of large language models (LLMs) using 50 newly constructed high-school-level word problems. Unlike prior studies that focus solely on answer correctness, we rigorously analyze…

Artificial Intelligence · Computer Science 2025-02-24 Johan Boye , Birger Moell