English
Related papers

Related papers: Mathematics with large language models as provers …

200 papers

ChatGPT embarks on a new era of artificial intelligence and will revolutionize the way we approach intelligent traffic safety systems. This paper begins with a brief introduction about the development of large language models (LLMs). Next,…

Computation and Language · Computer Science 2023-09-07 Ou Zheng , Mohamed Abdel-Aty , Dongdong Wang , Zijin Wang , Shengxuan Ding

Large language models (LLMs) have recently shown strong performance on mathematical benchmarks. At the same time, they are prone to hallucination and sycophancy, often providing convincing but flawed proofs for incorrect mathematical…

Artificial Intelligence · Computer Science 2025-10-07 Ivo Petrov , Jasper Dekoninck , Martin Vechev

Large language models (LLMs) are currently at the forefront of intertwining AI systems with human communication and everyday life. Therefore, it is of great importance to evaluate their emerging abilities. In this study, we show that LLMs…

Computation and Language · Computer Science 2023-10-10 Thilo Hagendorff , Sarah Fabi , Michal Kosinski

Students in computing education increasingly use large language models (LLMs) such as ChatGPT. Yet, the role of LLMs in supporting cognitively demanding tasks, like deductive program verification, remains poorly understood. This paper…

Software Engineering · Computer Science 2025-09-09 Carolina Carreira , Álvaro Silva , Alexandre Abreu , Alexandra Mendes

This paper presents two concrete applications of Artificial Intelligence to algorithmic and analytic number theory. Recent benchmarks of large language models have mainly focused on general mathematics problems and the currently infeasible…

Number Theory · Mathematics 2026-05-12 Ali Saraeb

In recent years, large language models (LLMs), such as ChatGPT, have been pivotal in advancing various artificial intelligence applications, including natural language processing and software engineering. A promising yet underexplored area…

Software Engineering · Computer Science 2024-01-26 Hiroyuki Kirinuki , Haruto Tanno

Large language models (LLM) such as OpenAI's ChatGPT and GPT-3 offer unique testbeds for exploring the translation challenges of turning literacy into numeracy. Previous publicly-available transformer models from eighteen months prior and…

Computation and Language · Computer Science 2023-02-01 David Noever , Forrest McKee

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

The purpose of this study is to assess how large language models (LLMs) can be used for fact-checking and contribute to the broader debate on the use of automated means for veracity identification. To achieve this purpose, we use AI…

Computation and Language · Computer Science 2025-03-12 Elizaveta Kuznetsova , Ilaria Vitulano , Mykola Makhortykh , Martha Stolze , Tomas Nagy , Victoria Vziatysheva

Large Language Models (LLMs) have demonstrated significant potential in generating mathematical proofs. However, a persistent challenge is that LLMs occasionally make mistakes, while even a minor mistake can invalidate an entire proof.…

Logic in Computer Science · Computer Science 2025-03-10 David Yin , Jing Gao

This paper presents a comprehensive survey of ChatGPT-related (GPT-3.5 and GPT-4) research, state-of-the-art large language models (LLM) from the GPT series, and their prospective applications across diverse domains. Indeed, key innovations…

Large language models (LLMs) such as ChatGPT have gained considerable interest across diverse research communities. Their notable ability for text completion and generation has inaugurated a novel paradigm for language-interfaced problem…

Quantitative Methods · Quantitative Biology 2024-02-22 Hengchuang Yin , Zhonghui Gu , Fanhao Wang , Yiparemu Abuduhaibaier , Yanqiao Zhu , Xinming Tu , Xian-Sheng Hua , Xiao Luo , Yizhou Sun

The recent popularity of large language models (LLMs) has brought a significant impact to boundless fields, particularly through their open-ended ecosystem such as the APIs, open-sourced models, and plugins. However, with their widespread…

Machine Learning · Computer Science 2023-08-31 Wentao Ye , Mingfeng Ou , Tianyi Li , Yipeng chen , Xuetao Ma , Yifan Yanggong , Sai Wu , Jie Fu , Gang Chen , Haobo Wang , Junbo Zhao

Large Language Models (LLMs) have limited performance when solving arithmetic reasoning tasks and often provide incorrect answers. Unlike natural language understanding, math problems typically have a single correct answer, making the task…

Computation and Language · Computer Science 2023-03-10 Shima Imani , Liang Du , Harsh Shrivastava

With the recent rise of widely successful deep learning models, there is emerging interest among professionals in various math and science communities to see and evaluate the state-of-the-art models' abilities to collaborate on finding or…

Computation and Language · Computer Science 2023-10-18 Sophia Gu

The recent success of Large Language Models (LLMs) has sparked concerns about their potential to spread misinformation. As a result, there is a pressing need for tools to identify ``fake arguments'' generated by such models. To create these…

The advent of large language models is reshaping computing education. Recent research has demonstrated that these models can produce better explanations than students, answer multiple-choice questions at or above the class average, and…

Computation and Language · Computer Science 2023-11-10 Irene Hou , Owen Man , Sophie Mettille , Sebastian Gutierrez , Kenneth Angelikas , Stephen MacNeil

Artificial Intelligence (AI) advancements have enabled the development of Large Language Models (LLMs) that can perform a variety of tasks with remarkable semantic understanding and accuracy. ChatGPT is one such LLM that has gained…

Software Engineering · Computer Science 2024-08-02 M. Mehdi Kholoosi , M. Ali Babar , Roland Croft

Large Language Models (LLMs) are advanced Artificial Intelligence (AI) systems that have undergone extensive training using large datasets in order to understand and produce language that closely resembles that of humans. These models have…

Software Engineering · Computer Science 2023-08-10 Alessio Buscemi

Large Language Models (LLMs) such as ChatGPT demonstrated the potential to replicate human language abilities through technology, ranging from text generation to engaging in conversations. However, it remains controversial to what extent…

Computation and Language · Computer Science 2025-07-09 Martin Schuele