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The challenge of formal proof generation has a rich history, but with modern techniques, we may finally be at the stage of making actual progress in real-life mathematical problems. This paper explores the integration of ChatGPT and basic…

Logic in Computer Science · Computer Science 2025-02-20 Sangjun Han , Taeil Hur , Youngmi Hur , Kathy Sangkyung Lee , Myungyoon Lee , Hyojae Lim

Entity matching (EM), the task of identifying whether two descriptions refer to the same entity, is essential in data management. Traditional methods have evolved from rule-based to AI-driven approaches, yet current techniques using large…

Databases · Computer Science 2024-06-18 Silvery D. Fu , David Wang , Wen Zhang , Kathleen Ge

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

Most ATP benchmarks embed the final answer within the formal statement -- a convention we call "Easy Mode" -- a design that simplifies the task relative to what human competitors face and may lead to optimistic estimates of model…

Artificial Intelligence · Computer Science 2026-04-20 Chengwu Liu , Yichun Yin , Ye Yuan , Jiaxuan Xie , Botao Li , Siqi Li , Jianhao Shen , Yan Xu , Lifeng Shang , Ming Zhang

Automatically generated code is gaining traction recently, owing to the prevalence of Large Language Models (LLMs). Further, the AlphaProof initiative has demonstrated the possibility of using AI for general mathematical reasoning.…

Software Engineering · Computer Science 2026-04-14 Haoxin Tu , Huan Zhao , Yahui Song , Mehtab Zafar , Ruijie Meng , Abhik Roychoudhury

With the growing popularity of Large Reasoning Models and their results in solving mathematical problems, it becomes crucial to measure their capabilities. We introduce a pipeline for both automatic and interactive verification as a more…

Artificial Intelligence · Computer Science 2026-02-25 Varvara Sazonova , Dmitri Shmelkin , Stanislav Kikot , Vasily Motolygin

Formal proofs are challenging to write even for experienced experts. Recent progress in Neural Theorem Proving (NTP) shows promise in expediting this process. However, the formal corpora available on the Internet are limited compared to the…

Artificial Intelligence · Computer Science 2025-04-04 Shaonan Wu , Shuai Lu , Yeyun Gong , Nan Duan , Ping Wei

Recent advancements in large language models (LLMs) have sparked considerable interest in automated theorem proving and a prominent line of research integrates stepwise LLM-based provers into tree search. In this paper, we introduce a novel…

Artificial Intelligence · Computer Science 2025-05-20 Junyu Lai , Jiakun Zhang , Shuo Xu , Taolue Chen , Zihang Wang , Yao Yang , Jiarui Zhang , Chun Cao , Jingwei Xu

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

The integration of AI in education offers significant potential to enhance learning efficiency. Large Language Models (LLMs), such as ChatGPT, Gemini, and Llama, allow students to query a wide range of topics, providing unprecedented…

Information Retrieval · Computer Science 2025-04-29 Zhaoxing Li , Vahid Yazdanpanah , Jindi Wang , Wen Gu , Lei Shi , Alexandra I. Cristea , Sarah Kiden , Sebastian Stein

We address generating theorems from a given set of axioms, without proof goal, aiming at value from a mathematical point of view or as lemmas for automated proving. As benchmark, we convert a fragment of the Metamath database set.mm. Our…

Logic in Computer Science · Computer Science 2026-02-18 Christoph Wernhard

While logical reasoning evaluation of Large Language Models (LLMs) has attracted significant attention, existing benchmarks predominantly rely on multiple-choice formats that are vulnerable to random guessing, leading to overestimated…

Computation and Language · Computer Science 2025-02-25 Qin Zhu , Fei Huang , Runyu Peng , Keming Lu , Bowen Yu , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang , Junyang Lin

Given the remarkable performance of Large Language Models (LLMs), an important question arises: Can LLMs conduct human-like scientific research and discover new knowledge, and act as an AI scientist? Scientific discovery is an iterative…

Machine Learning · Computer Science 2025-02-24 Tingting Chen , Srinivas Anumasa , Beibei Lin , Vedant Shah , Anirudh Goyal , Dianbo Liu

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, leading to their adoption in high-stakes domains such as healthcare, law, and scientific research. However, their reasoning often contains subtle logical…

Software Engineering · Computer Science 2025-12-30 Xinyi Zheng , Ningke Li , Xiaokun Luan , Kailong Wang , Ling Shi , Meng Sun , Haoyu Wang

We present Ax-Prover, a multi-agent system for automated theorem proving in Lean that can solve problems across diverse scientific domains and operate either autonomously or collaboratively with human experts. To achieve this, Ax-Prover…

The rapid advancement of large language models (LLMs) has led to significant breakthroughs in automated mathematical reasoning and scientific discovery. Georgiev, G${\'o}$mez-Serrano, Tao, and Wagner [GGSTW+25] demonstrate that AI systems…

Artificial Intelligence · Computer Science 2025-12-17 Yang Cao , Yubin Chen , Xuyang Guo , Zhao Song , Song Yue , Jiahao Zhang , Jiale Zhao

Theorem proving is fundamental to program verification, where the automated proof of Verification Conditions (VCs) remains a primary bottleneck. Real-world program verification frequently encounters hard VCs that existing Automated Theorem…

Artificial Intelligence · Computer Science 2026-01-29 Qiyuan Xu , Xiaokun Luan , Renxi Wang , Joshua Ong Jun Leang , Peixin Wang , Haonan Li , Wenda Li , Conrad Watt

The field of analytic combinatorics is dedicated to the creation of effective techniques to study the large-scale behaviour of combinatorial objects. Although classical results in analytic combinatorics are mainly concerned with univariate…

Combinatorics · Mathematics 2024-04-25 Stephen Melczer , Tiadora Ruza

Large Language Models (LLMs) have shown remarkable capabilities in language understanding and generation. Nonetheless, it was also witnessed that LLMs tend to produce inaccurate responses to specific queries. This deficiency can be traced…

Computation and Language · Computer Science 2025-05-16 Dixuan Wang , Yanda Li , Junyuan Jiang , Zepeng Ding , Ziqin Luo , Guochao Jiang , Jiaqing Liang , Deqing Yang

Large Language Model (LLM)-based agent simulation has emerged as a promising approach to meet the increasing demand for real-time and rigorous evaluation in modern recommender systems. A typical LLM-driven simulation framework comprises…

Information Retrieval · Computer Science 2026-05-14 Xinye Wanyan , Chenglong Ma , Danula Hettiachchi , Ziqi Xu , Jeffrey Chan
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