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Numerous theorems, such as those in geometry, are often presented in multimodal forms (e.g., diagrams). Humans benefit from visual reasoning in such settings, using diagrams to gain intuition and guide the proof process. Modern Multimodal…

Computation and Language · Computer Science 2025-06-09 Zhitao He , Zongwei Lyu , Dazhong Chen , Dadi Guo , Yi R. Fung

Automated Theorem Proving (ATP) in formal languages is a foundational challenge for AI. While Large Language Models (LLMs) have driven remarkable progress, a significant gap remains between their powerful informal reasoning capabilities and…

Logic in Computer Science · Computer Science 2025-07-10 Zhenwen Liang , Linfeng Song , Yang Li , Tao Yang , Feng Zhang , Haitao Mi , Dong Yu

Automated Theorem Proving (ATP) in formal languages remains a formidable challenge in AI, demanding rigorous logical deduction and navigating vast search spaces. While large language models (LLMs) have shown promising performance, existing…

Artificial Intelligence · Computer Science 2025-05-19 Zhenwen Liang , Linfeng Song , Yang Li , Tao Yang , Feng Zhang , Haitao Mi , Dong Yu

In this paper we demonstrate how logic programming systems and Automated first-order logic Theorem Provers (ATPs) can improve the accuracy of Large Language Models (LLMs) for logical reasoning tasks where the baseline performance is given…

Artificial Intelligence · Computer Science 2024-08-08 Lachlan McGinness , Peter Baumgartner

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

Recent advances in large language models (LLMs) have shown promise in formal theorem proving, yet evaluating semantic correctness remains challenging. Existing evaluations rely on indirect proxies such as lexical overlap with…

Computation and Language · Computer Science 2026-04-29 Jongyoon Kim , Hojae Han , Seung-won Hwang

Large language models (LLMs) have demonstrated their remarkable performance across various language understanding tasks. While emerging benchmarks have been proposed to evaluate LLMs in various domains such as mathematics and computer…

Artificial Intelligence · Computer Science 2024-10-28 Junnan Dong , Zijin Hong , Yuanchen Bei , Feiran Huang , Xinrun Wang , Xiao Huang

Automated theorem proving (ATP) benchmarks largely consist of problems formalized in MathLib, so current ATP training and evaluation are heavily biased toward MathLib's definitional framework. However, frontier mathematics is often…

Automatic text classification (ATC) has experienced remarkable advancements in the past decade, best exemplified by recent small and large language models (SLMs and LLMs), leveraged by Transformer architectures. Despite recent effectiveness…

Computation and Language · Computer Science 2025-04-03 Washington Cunha , Leonardo Rocha , Marcos André Gonçalves

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

Large Language Models (LLMs) have demonstrated remarkable capabilities across various domains. Math Word Problems (MWPs) serve as a crucial benchmark for evaluating LLMs' reasoning abilities. While most research primarily focuses on…

Computation and Language · Computer Science 2025-09-09 Yuhong Sun , Zhangyue Yin , Xuanjing Huang , Xipeng Qiu , Hui Zhao

Formal theorem proving (FTP) has emerged as a critical foundation for evaluating the reasoning capabilities of large language models, enabling automated verification of mathematical proofs at scale. However, progress has been constrained by…

Logic in Computer Science · Computer Science 2026-05-19 Terry Jingchen Zhang , Wenyuan Jiang , Rongchuan Liu , Yisong Wang , Junran Yang , Ning Wang , Nicole Ni , Yinya Huang , Mrinmaya Sachan

Large language models (LLMs) have shown remarkable progress in coding and math problem-solving, but evaluation on advanced research-level problems in hard sciences remains scarce. To fill this gap, we present CMT-Benchmark, a dataset of 50…

Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

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

As artificial intelligence (AI) gains greater adoption in a wide variety of applications, it has immense potential to contribute to mathematical discovery, by guiding conjecture generation, constructing counterexamples, assisting in…

Artificial Intelligence · Computer Science 2023-10-27 Hassen Saidi , Susmit Jha , Tuhin Sahai

As LLMs achieved breakthroughs in general reasoning, their proficiency in specialized scientific domains reveals pronounced gaps in existing benchmarks due to data contamination, insufficient complexity, and prohibitive human labor costs.…

Artificial Intelligence · Computer Science 2026-02-27 Peiyao Xiao , Xiaogang Li , Chengliang Xu , Jiayi Wang , Ben Wang , Zichao Chen , Zeyu Wang , Kejun Yu , Yueqian Chen , Xulin Liu , Wende Xiao , Bing Zhao , Hu Wei

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

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