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Related papers: Formal Conjectures: An Open and Evolving Benchmark…

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Real-life conjectures do not come with instructions saying whether they they should be proven or, instead, refuted. Yet, as we now know, in either case the final argument produced had better be not just convincing but actually verifiable in…

Computers and Society · Computer Science 2015-07-21 João Marcos

Large Language Models (LLMs) hold the potential to revolutionize autoformalization. The introduction of Lean4, a mathematical programming language, presents an unprecedented opportunity to rigorously assess the autoformalization…

Machine Learning · Computer Science 2024-06-12 Aryan Gulati , Devanshu Ladsaria , Shubhra Mishra , Jasdeep Sidhu , Brando Miranda

Accurate auto-formalization of theorem statements is essential for advancing automated discovery and verification of research-level mathematics, yet remains a major bottleneck for LLMs due to hallucinations, semantic mismatches, and their…

Artificial Intelligence · Computer Science 2025-10-07 Hanyu Wang , Ruohan Xie , Yutong Wang , Guoxiong Gao , Xintao Yu , Bin Dong

Recent neural theorem provers use reinforcement learning with verifiable rewards (RLVR), where proof assistants provide binary correctness signals. While verifiable rewards are cheap and scalable without reward hacking issues, they suffer…

Artificial Intelligence · Computer Science 2026-05-12 Zeynel A. Uluşan , Burak S. Akbudak , Can S. Erer , Gözde Gül Şahin

We present a case study where an automatic AI system formalizes a textbook with more than 500 pages of graduate-level algebraic combinatorics to Lean. The resulting formalization represents a new milestone in textbook formalization scale…

Artificial Intelligence · Computer Science 2026-04-06 Fabian Gloeckle , Ahmad Rammal , Charles Arnal , Remi Munos , Vivien Cabannes , Gabriel Synnaeve , Amaury Hayat

The increased use of large language models (LLMs) across a variety of real-world applications calls for mechanisms to verify the factual accuracy of their outputs. Difficulties lie in assessing the factuality of free-form responses in open…

Computation and Language · Computer Science 2025-10-30 Yuxia Wang , Minghan Wang , Hasan Iqbal , Georgi Georgiev , Jiahui Geng , Preslav Nakov

Formalized mathematics has recently garnered significant attention for its ability to assist mathematicians across various fields. Premise retrieval, as a common step in mathematical formalization, has been a challenge, particularly for…

Computation and Language · Computer Science 2025-07-17 Yicheng Tao , Haotian Liu , Shanwen Wang , Hongteng Xu

Automated formalization of mathematics enables mechanical verification but remains limited to isolated theorems and short snippets. Scaling to textbooks and research papers is largely unaddressed, as it requires managing cross-file…

Artificial Intelligence · Computer Science 2026-02-20 Zichen Wang , Wanli Ma , Zhenyu Ming , Gong Zhang , Kun Yuan , Zaiwen Wen

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…

Effective financial reasoning demands not only textual understanding but also the ability to interpret complex visual data such as charts, tables, and trend graphs. This paper introduces a new benchmark designed to evaluate how well AI…

Artificial Intelligence · Computer Science 2025-06-10 Shuangyan Deng , Haizhou Peng , Jiachen Xu , Chunhou Liu , Ciprian Doru Giurcuaneanu , Jiamou Liu

As the application of Large Language Models (LLMs) expands, the demand for reliable evaluations increases. Existing LLM evaluation benchmarks primarily rely on static datasets, making it challenging to assess model performance in dynamic…

Computation and Language · Computer Science 2024-10-08 Qingchen Yu , Shichao Song , Ke Fang , Yunfeng Shi , Zifan Zheng , Hanyu Wang , Simin Niu , Zhiyu Li

Formal models are essential to specifying large, complex computer systems and verifying their correctness, but are notoriously expensive to write and maintain. Recent advances in generative AI show promise in generating certain forms of…

Artificial Intelligence · Computer Science 2026-01-29 Qian Cheng , Ruize Tang , Emilie Ma , Finn Hackett , Peiyang He , Yiming Su , Ivan Beschastnikh , Yu Huang , Xiaoxing Ma , Tianyin Xu

Large Language Models (LLMs) are increasingly deployed as scientific AI as- sistants, and a growing body of benchmarks evaluates their capabilities across knowledge retrieval, reasoning, code generation, and tool use. These evaluations,…

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

We present FIMO, an innovative dataset comprising formal mathematical problem statements sourced from the International Mathematical Olympiad (IMO) Shortlisted Problems. Designed to facilitate advanced automated theorem proving at the IMO…

Artificial Intelligence · Computer Science 2023-12-06 Chengwu Liu , Jianhao Shen , Huajian Xin , Zhengying Liu , Ye Yuan , Haiming Wang , Wei Ju , Chuanyang Zheng , Yichun Yin , Lin Li , Ming Zhang , Qun Liu

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

Large Language Models (LLMs) are increasingly described as possessing strong reasoning capabilities, supported by high performance on mathematical, logical, and planning benchmarks. However, most existing evaluations rely on aggregate…

Computation and Language · Computer Science 2026-04-16 Md. Fahad Ullah Utsho , Mohd. Ruhul Ameen , Akif Islam , Md. Golam Rashed , Dipankar Das

The current evaluation of mathematical skills in LLMs is limited, as existing benchmarks are either relatively small, primarily focus on elementary and high-school problems, or lack diversity in topics. Additionally, the inclusion of visual…

Computation and Language · Computer Science 2026-02-03 Konstantin Chernyshev , Vitaliy Polshkov , Ekaterina Artemova , Alex Myasnikov , Vlad Stepanov , Alexei Miasnikov , Sergei Tilga

Existing tabular reasoning benchmarks mostly test models on small, uniform tables, underrepresenting the complexity of real-world data and giving an incomplete view of Large Language Models' (LLMs) reasoning abilities. Real tables are long,…

Computation and Language · Computer Science 2025-11-07 Nikhil Abhyankar , Purvi Chaurasia , Sanchit Kabra , Ananya Srivastava , Vivek Gupta , Chandan K. Reddy

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang
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