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Proof engineering is notoriously labor-intensive: proofs that are straightforward on paper often require lengthy scripts in theorem provers. Recent advances in large language models (LLMs) create new opportunities for proof automation:…

Programming Languages · Computer Science 2026-01-08 Yichen Xu , Martin Odersky

Large language models (LLMs) can act as evaluators, a role studied by methods like LLM-as-a-Judge and fine-tuned judging LLMs. In the field of education, LLMs have been studied as assistant tools for students and teachers. Our research…

Computation and Language · Computer Science 2025-09-26 Valeria Ramirez-Garcia , David de-Fitero-Dominguez , Antonio Garcia-Cabot , Eva Garcia-Lopez

In recent progress, mathematical verifiers have achieved success in mathematical reasoning tasks by validating the correctness of solutions generated by policy models. However, existing verifiers are trained with binary classification…

Computation and Language · Computer Science 2024-10-21 Bofei Gao , Zefan Cai , Runxin Xu , Peiyi Wang , Ce Zheng , Runji Lin , Keming Lu , Dayiheng Liu , Chang Zhou , Wen Xiao , Junjie Hu , Tianyu Liu , Baobao Chang

Large language models (LLMs) are increasingly used for automated tutoring, but their reliability in structured symbolic domains remains unclear. We study step-level feedback for propositional logic proofs, which require precise symbolic…

As generative AI becomes increasingly embedded in everyday life, the thoughtful and intentional integration of AI-based tools into statistics education has become essential. We address this need with a focus on homework assignments and we…

Other Statistics · Statistics 2025-12-30 Emanuela Furfaro , Simone Mosciatti

Writing is a foundational literacy skill that underpins effective communication, fosters critical thinking, facilitates learning across disciplines, and enables individuals to organize and articulate complex ideas. Consequently, writing…

Computation and Language · Computer Science 2026-03-05 Jiangang Hao

There are widespread fears that conversational AI could soon exert unprecedented influence over human beliefs. Here, in three large-scale experiments (N=76,977), we deployed 19 LLMs-including some post-trained explicitly for persuasion-to…

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

Large Language Models (LLMs) with chain-of-thought generation have demonstrated great potential for solving complex reasoning and planning tasks. However, the output of current LLMs is not fully reliable and needs careful verification. Even…

Machine Learning · Computer Science 2026-05-19 Maria-Florina Balcan , Avrim Blum , Kiriaki Fragkia , Zhiyuan Li , Dravyansh Sharma

Most classroom engagements with generative AI focus on prompting pre-trained models, leaving the role of training data and model mechanics opaque. We developed a browser-based tool that allows students to train a small transformer language…

Computers and Society · Computer Science 2026-01-30 Nicolas Pope , Matti Tedre

As the application of Large Language Models (LLMs) expands, the demand for reliable evaluations increases. Existing LLM evaluation benchmarks primarily rely on static datasets, making it challenging to assess model performance in dynamic…

Computation and Language · Computer Science 2024-10-08 Qingchen Yu , Shichao Song , Ke Fang , Yunfeng Shi , Zifan Zheng , Hanyu Wang , Simin Niu , Zhiyu Li

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

This perspective paper proposes a series of interactive scenarios that utilize Artificial Intelligence (AI) to enhance classroom teaching, such as dialogue auto-completion, knowledge and style transfer, and assessment of AI-generated…

Artificial Intelligence · Computer Science 2023-06-13 Kehui Tan , Tianqi Pang , Chenyou Fan , Song Yu

Leveraging mathematical Large Language Models (LLMs) for proof generation is a fundamental topic in LLMs research. We argue that the ability of current LLMs to prove statements largely depends on whether they have encountered the relevant…

In the age of artificial intelligence (AI), providing learners with suitable and sufficient explanations of AI-based recommendation algorithm's output becomes essential to enable them to make an informed decision about it. However, the…

Human-Computer Interaction · Computer Science 2024-02-14 Hasan Abu-Rasheed , Christian Weber , Madjid Fathi

Large language models (LLMs) can "lie", which we define as outputting false statements despite "knowing" the truth in a demonstrable sense. LLMs might "lie", for example, when instructed to output misinformation. Here, we develop a simple…

Computation and Language · Computer Science 2023-09-28 Lorenzo Pacchiardi , Alex J. Chan , Sören Mindermann , Ilan Moscovitz , Alexa Y. Pan , Yarin Gal , Owain Evans , Jan Brauner

Large language models (LLMs) have achieved remarkable breakthroughs in new dialogue capabilities by leveraging instruction tuning, which refreshes human impressions of dialogue systems. The long-standing goal of dialogue systems is to be…

Computation and Language · Computer Science 2024-04-01 Jiao Ou , Junda Lu , Che Liu , Yihong Tang , Fuzheng Zhang , Di Zhang , Kun Gai

When working on intelligent tutor systems designed for mathematics education and its specificities, an interesting objective is to provide relevant help to the students by anticipating their next steps. This can only be done by knowing,…

Artificial Intelligence · Computer Science 2020-03-02 Ludovic Font , Sébastien Cyr , Philippe R. Richard , Michel Gagnon

In mathematical proof education, there remains a need for interventions that help students learn to write mathematical proofs. Research has shown that timely feedback can be very helpful to students learning new skills. While for many years…

Artificial Intelligence · Computer Science 2025-07-15 Chenyan Zhao , Mariana Silva , Seth Poulsen

Although most of the automated theorem-proving approaches depend on formal proof systems, informal theorem proving can align better with large language models' (LLMs) strength in natural language processing. In this work, we identify a…

Artificial Intelligence · Computer Science 2026-04-20 Yunhe Li , Hao Shi , Bowen Deng , Wei Wang , Mengzhe Ruan , Hanxu Hou , Zhongxiang Dai , Siyang Gao , Chao Wang , Shuang Qiu , Linqi Song