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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

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) represents a core research direction in artificial intelligence for achieving formal reasoning and verification, playing a significant role in advancing machine intelligence. However, current large language…

Artificial Intelligence · Computer Science 2025-12-23 Sirui Li , Wangyue Lu , Xiaorui Shi , Ke Weng , Haozhe Sun , Minghe Yu , Tiancheng Zhang , Ge Yu , Hengyu Liu , Lun Du

Formal theorem-proving benchmarks enable mechanically verifiable evaluation of mathematical reasoning in large language models. However, existing benchmarks mainly focus on Olympiad-style problems and algebraic domains, leaving…

Artificial Intelligence · Computer Science 2026-05-19 Wentao Long , Yunfei Zhang , Chenyi Li , Li Zhou , Chumin Sun , Zaiwen Wen

Recent advancements in large language models (LLMs) have showcased significant improvements in mathematics. However, traditional math benchmarks like GSM8k offer a unidimensional perspective, falling short in providing a holistic assessment…

Computation and Language · Computer Science 2024-05-21 Hongwei Liu , Zilong Zheng , Yuxuan Qiao , Haodong Duan , Zhiwei Fei , Fengzhe Zhou , Wenwei Zhang , Songyang Zhang , Dahua Lin , Kai Chen

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…

Large Language Models (LLMs) are increasingly excelling and outpacing human performance on many tasks. However, to improve LLM reasoning, researchers either rely on ad-hoc generated datasets or formal mathematical proof systems such as the…

Artificial Intelligence · Computer Science 2025-11-03 Nikolaus Holzer , William Fishell , Baishakhi Ray , Mark Santolucito

Current evaluations of mathematical reasoning in large language models (LLMs) are dominated by static benchmarks, either derived from competition-style problems or curated through costly expert effort, resulting in limited coverage of…

Computation and Language · Computer Science 2026-05-08 Jicheng Ma , Guohua Wang , Xinhua Feng , Yiming Liu , Zhichao Hu , Yuhong Liu

We present FormalProofBench, a private benchmark designed to evaluate whether AI models can produce formally verified mathematical proofs at the graduate level. Each task pairs a natural-language problem with a Lean~4 formal statement, and…

Artificial Intelligence · Computer Science 2026-03-31 Nikil Ravi , Kexing Ying , Vasilii Nesterov , Rayan Krishnan , Elif Uskuplu , Bingyu Xia , Janitha Aswedige , Langston Nashold

The ability of Large Language Models (LLMs) to use external tools unlocks powerful real-world interactions, making rigorous evaluation essential. However, current benchmarks primarily report final accuracy, revealing what models can do but…

Computation and Language · Computer Science 2026-01-29 Qihao Wang , Yue Hu , Mingzhe Lu , Jiayue Wu , Yanbing Liu , Yuanmin Tang

We present a new approach for benchmarking Large Language Model (LLM) capabilities on research-level mathematics. Existing benchmarks largely rely on static, hand-curated sets of contest or textbook-style problems as proxies for…

Artificial Intelligence · Computer Science 2026-03-02 Antoine Peyronnet , Fabian Gloeckle , Amaury Hayat

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

Numerous math benchmarks exist to evaluate LLMs' mathematical capabilities. However, most involve extensive manual effort and are difficult to scale. Consequently, they cannot keep pace with LLM development or easily provide new instances…

Artificial Intelligence · Computer Science 2026-04-07 Jiayu Fu , Mourad Heddaya , Chenhao Tan

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

With the rapid development and widespread application of Large Language Models (LLMs), multidimensional evaluation has become increasingly critical. However, current evaluations are often domain-specific and overly complex, limiting their…

Computation and Language · Computer Science 2025-05-20 Haitao Wu , Zongbo Han , Joey Tianyi Zhou , Huaxi Huang , Changqing Zhang

Evaluating the mathematical capability of Large Language Models (LLMs) is a critical yet challenging frontier. Existing benchmarks fall short, particularly for proof-centric problems, as manual creation is unscalable and costly, leaving the…

Computation and Language · Computer Science 2025-08-06 Yebo Peng , Zixiang Liu , Yaoming Li , Zhizhuo Yang , Xinye Xu , Bowen Ye , Weijun Yuan , Zihan Wang , Tong Yang

Recent advances in large language models (LLMs) have enabled the emergence of general-purpose agents for automating end-to-end machine learning (ML) workflows, including data analysis, feature engineering, model training, and competition…

Artificial Intelligence · Computer Science 2025-09-12 Hangyi Jia , Yuxi Qian , Hanwen Tong , Xinhui Wu , Lin Chen , Feng Wei

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang
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