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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

We present PutnamBench, a new multi-language benchmark for evaluating the ability of neural theorem-provers to solve competition mathematics problems. PutnamBench consists of 1692 hand-constructed formalizations of 640 theorems sourced from…

Artificial Intelligence · Computer Science 2024-11-05 George Tsoukalas , Jasper Lee , John Jennings , Jimmy Xin , Michelle Ding , Michael Jennings , Amitayush Thakur , Swarat Chaudhuri

Traditional approaches for validating molecular simulations rely on making software open source and transparent, incorporating unit testing, and generally employing human oversight. We propose an approach that eliminates software errors…

Statistical Mechanics · Physics 2025-08-19 Ejike D. Ugwuanyi , Colin T. Jones , John Velkey , Tyler R. Josephson

Large language models (LLMs) have recently demonstrated remarkable progress in formal theorem proving. Yet their ability to serve as practical assistants for mathematicians, filling in missing steps within complex proofs, remains…

Computation and Language · Computer Science 2025-10-06 Xiao-Wen Yang , Zihao Zhang , Jianuo Cao , Zhi Zhou , Zenan Li , Lan-Zhe Guo , Yuan Yao , Taolue Chen , Yu-Feng Li , Xiaoxing Ma

LLM-generated explanations can make technical content more accessible, but there is a ceiling on what they can support interactively. Because LLM outputs are static text, they cannot be executed or stepped through. We argue that grounding…

Human-Computer Interaction · Computer Science 2026-04-13 Hita Kambhamettu , Will Crichton , Sean Welleck , Harrison Goldstein , Andrew Head

Large language models are becoming increasingly pervasive and ubiquitous in society via deployment in sociotechnical systems. Yet these language models, be it for classification or generation, have been shown to be biased and behave…

Human-Computer Interaction · Computer Science 2023-12-01 Charvi Rastogi , Marco Tulio Ribeiro , Nicholas King , Harsha Nori , Saleema Amershi

Verifying mathematical proofs is difficult, but can be automated with the assistance of a computer. Autoformalization is the task of automatically translating natural language mathematics into a formal language that can be verified by a…

Computation and Language · Computer Science 2024-07-11 Nilay Patel , Rahul Saha , Jeffrey Flanigan

Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof…

Neural and Evolutionary Computing · Computer Science 2016-04-18 Li-An Yang , Jui-Pin Liu , Chao-Hong Chen , Ying-ping Chen

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

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen

We evaluate GPTutor, an LLM-powered tutoring system for an undergraduate discrete mathematics course. It integrates two LLM-supported tools: a structured proof-review tool that provides embedded feedback on students' written proof attempts,…

Student simulation presents a transformative approach to enhance learning outcomes, advance educational research, and ultimately shape the future of effective pedagogy. We explore the feasibility of using large language models (LLMs), a…

Artificial Intelligence · Computer Science 2023-10-31 Songlin Xu , Xinyu Zhang

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

The potentials of Generative-AI technologies like Large Language models (LLMs) to revolutionize education are undermined by ethical considerations around their misuse which worsens the problem of academic dishonesty. LLMs like GPT-4 and…

Machine Learning · Computer Science 2024-07-11 Suriya Prakash Jambunathan , Ashwath Shankarnarayan , Parijat Dube

Generative large language models (LLMs) can be a powerful tool for augmenting text annotation procedures, but their performance varies across annotation tasks due to prompt quality, text data idiosyncrasies, and conceptual difficulty.…

Computation and Language · Computer Science 2023-06-02 Nicholas Pangakis , Samuel Wolken , Neil Fasching

Personalization is crucial for effective learning, yet online learning, designed for widespread availability and open access, lacks personalized guidance. Recent advancements in large language models (LLMs) offer opportunities to bridge…

Human-Computer Interaction · Computer Science 2026-05-08 Xinyu Jessica Wang , Christine P. Lee , Bilge Mutlu

This paper introduces UnitTenX, a state-of-the-art open-source AI multi-agent system designed to generate unit tests for legacy code, enhancing test coverage and critical value testing. UnitTenX leverages a combination of AI agents, formal…

Software Engineering · Computer Science 2025-10-08 Yiannis Charalambous , Claudionor N. Coelho , Luis Lamb , Lucas C. Cordeiro

The manual assessment and grading of student writing is a time-consuming yet critical task for teachers. Recent developments in generative AI, such as large language models, offer potential solutions to facilitate essay-scoring tasks for…

Computation and Language · Computer Science 2024-11-26 Kathrin Seßler , Maurice Fürstenberg , Babette Bühler , Enkelejda Kasneci

Reflection is widely recognized as a cornerstone of student development, fostering critical thinking, self-regulation, and deep conceptual understanding. Traditionally, reflective skills have been cultivated through structured feedback,…

Human-Computer Interaction · Computer Science 2025-09-10 Bo Yuan , Jiazi Hu

Large Language Models (LLMs) have shown impressive performance across a variety of Artificial Intelligence (AI) and natural language processing tasks, such as content creation, report generation, etc. However, unregulated malign application…

Computation and Language · Computer Science 2023-09-15 Harika Abburi , Michael Suesserman , Nirmala Pudota , Balaji Veeramani , Edward Bowen , Sanmitra Bhattacharya
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