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Mathematical problem-solving is a key field in artificial intelligence (AI) and a critical benchmark for evaluating the capabilities of large language models (LLMs). While extensive research has focused on mathematical problem-solving, most…

Computation and Language · Computer Science 2025-01-03 Ziye Chen , Hao Qi

Recently, it is often said that the data used for the pre-training of large language models (LLMs) have been exhausted. This paper proposes a solution to the problem: Automated generation of massive reasonable empirical theorems by forward…

Artificial Intelligence · Computer Science 2024-12-18 Jingde Cheng

Large language models (LLMs) offer significant potential to accelerate systematic literature reviews (SLRs), yet current approaches often rely on brittle, manually crafted prompts that compromise reliability and reproducibility. This…

Computation and Language · Computer Science 2025-09-03 Teo Susnjak

Can the rapid advances in code generation, function calling, and data analysis using large language models (LLMs) help automate the search and verification of hypotheses purely from a set of provided datasets? To evaluate this question, we…

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) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning in natural language to rigorous derivations in formal systems. In recent years, the advancement of deep learning, especially the emergence of large…

Artificial Intelligence · Computer Science 2024-08-23 Zhaoyu Li , Jialiang Sun , Logan Murphy , Qidong Su , Zenan Li , Xian Zhang , Kaiyu Yang , Xujie Si

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

Recent advances in large language models (LLMs) have made it increasingly difficult to distinguish human-written text from AI-generated content. Many existing detectors train supervised neural classifiers that achieve strong in-distribution…

Computation and Language · Computer Science 2026-05-27 Pingfan Su , Kai Ye , Shijin Gong , Erhan Xu , Jin Zhu , Giulia Livieri , Chengchun Shi

Recent advances in Generative Artificial Intelligence, particularly Large Language Models (LLMs), have stimulated growing interest in automating or assisting Business Process Modeling tasks using natural language. Several approaches have…

Software Engineering · Computer Science 2026-04-16 João Bettencourt , Sérgio Guerreiro

Large language models (LLMs) for formal theorem proving have become a prominent research focus. At present, the proving ability of these LLMs is mainly evaluated through proof pass rates on datasets such as miniF2F. However, this evaluation…

Artificial Intelligence · Computer Science 2025-02-04 Jianyu Zhang , Yongwang Zhao , Long Zhang , Jilin Hu , Xiaokun Luan , Zhiwei Xu , Feng Yang

Logical reasoning is a pivotal component in the field of artificial intelligence. Proof planning, particularly in contexts requiring the validation of explanation accuracy, continues to present challenges. The recent advancement of large…

Computation and Language · Computer Science 2025-10-31 Ying Su , Mingwen Liu , Zhijiang Guo

The field of Language Reasoning Models (LRMs) has been very active over the past few years with advances in training and inference techniques enabling LRMs to reason longer, and more accurately. However, a growing body of studies show that…

Computation and Language · Computer Science 2025-12-17 Yannis Belkhiter , Seshu Tirupathi , Giulio Zizzo , John D. Kelleher

Machine-assisted theorem proving refers to the process of conducting structured reasoning to automatically generate proofs for mathematical theorems. Recently, there has been a surge of interest in using machine learning models in…

Logic in Computer Science · Computer Science 2025-02-03 Leni Aniva , Chuyue Sun , Brando Miranda , Clark Barrett , Sanmi Koyejo

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…

Efficient and accurate autoformalization methods, which leverage large-scale datasets of extensive natural language mathematical problems to construct formal language datasets, are key to advancing formal mathematical reasoning. In this…

Computation and Language · Computer Science 2025-07-16 Jiaxuan Xie , Chengwu Liu , Ye Yuan , Siqi Li , Zhiping Xiao , Ming Zhang

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

Nowadays, formal theorem provers have made monumental progress on high-school and competition-level mathematics, but few of them generalize to more advanced mathematics. In this paper, we present REAL-Prover, a new open-source stepwise…

Computation and Language · Computer Science 2025-11-25 Ziju Shen , Naohao Huang , Fanyi Yang , Yutong Wang , Guoxiong Gao , Tianyi Xu , Jiedong Jiang , Wanyi He , Pu Yang , Mengzhou Sun , Haocheng Ju , Peihao Wu , Bryan Dai , Bin Dong

Language has long been conceived as an essential tool for human reasoning. The breakthrough of Large Language Models (LLMs) has sparked significant research interest in leveraging these models to tackle complex reasoning tasks. Researchers…

Current LLM training positions mathematical reasoning as a core capability. With publicly available sources fully tapped, there is unmet demand for diverse and challenging math questions. Relying solely on human experts is both…

Artificial Intelligence · Computer Science 2025-02-04 Vedant Shah , Dingli Yu , Kaifeng Lyu , Simon Park , Jiatong Yu , Yinghui He , Nan Rosemary Ke , Michael Mozer , Yoshua Bengio , Sanjeev Arora , Anirudh Goyal
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