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Mathematicians and computer scientists are increasingly using proof assistants to formalize and check correctness of complex proofs. This is a non-trivial task in itself, however, with high demands on human expertise. Can we lower the bar…

Artificial Intelligence · Computer Science 2026-01-13 Yousef Alhessi , Sólrún Halla Einarsdóttir , George Granberry , Emily First , Moa Johansson , Sorin Lerner , Nicholas Smallbone

The plethora of complex artificial intelligence (AI) algorithms and available high performance computing (HPC) power stimulates the expeditious development of AI components with heterogeneous designs. Consequently, the need for cross-stack…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-16 Zhixiang Ren , Yongheng Liu , Tianhui Shi , Lei Xie , Yue Zhou , Jidong Zhai , Youhui Zhang , Yunquan Zhang , Wenguang Chen

This paper introduces DOoM, a new open-source benchmark designed to assess the capabilities of language models in solving mathematics and physics problems in Russian. The benchmark includes problems of varying difficulty, ranging from…

Artificial Intelligence · Computer Science 2025-11-14 Ilya Kuleshov , Ilin Pavel , Nikolay Kompanets , Ksenia Sycheva , Aleksandr Nikolich

As models become increasingly sophisticated, conventional algorithm benchmarks are increasingly saturated, underscoring the need for more challenging benchmarks to guide future improvements in algorithmic reasoning. This paper introduces…

Artificial Intelligence · Computer Science 2025-06-13 Yaoming Zhu , Junxin Wang , Yiyang Li , Lin Qiu , ZongYu Wang , Jun Xu , Xuezhi Cao , Yuhuai Wei , Mingshi Wang , Xunliang Cai , Rong Ma

The synergy between deep learning models and traditional automation tools, such as built-in tactics of the proof assistant and off-the-shelf automated theorem provers, plays a crucial role in developing robust and efficient neural theorem…

Machine Learning · Computer Science 2025-06-09 Haoxiong Liu , Jiacheng Sun , Zhenguo Li , Andrew C Yao

Formal mathematics is the discipline of translating mathematics into a programming language in which any statement can be unequivocally checked by a computer. Mathematicians and computer scientists have spent decades of painstaking…

Artificial Intelligence · Computer Science 2024-02-28 Johnathan Mercer

We introduce Goedel-Prover, an open-source language model that achieves state-of-the-art (as of April 5 2025) performance in automated formal proof generation for mathematical problems. A key challenge in this field is the scarcity of…

Machine Learning · Computer Science 2025-04-22 Yong Lin , Shange Tang , Bohan Lyu , Jiayun Wu , Hongzhou Lin , Kaiyu Yang , Jia Li , Mengzhou Xia , Danqi Chen , Sanjeev Arora , Chi Jin

Large Multimodal Models have achieved remarkable progress in integrating vision and language, enabling strong performance across perception, reasoning, and domain-specific tasks. However, their capacity to reason over multiple, visually…

Artificial Intelligence · Computer Science 2026-03-09 Can Li , Ying Liu , Ting Zhang , Mei Wang , Hua Huang

State-of-the-art (SOTA) LLMs have progressed from struggling on proof-based Olympiad problems to solving most of the IMO 2025 problems, with leading systems reportedly handling 5 of 6 problems. Given this progress, we assess how well these…

Current benchmarks for evaluating the reasoning capabilities of Large Language Models (LLMs) face significant limitations: task oversimplification, data contamination, and flawed evaluation items. These deficiencies necessitate more…

Recent studies on Learning to Optimize (L2O) suggest a promising path to automating and accelerating the optimization procedure for complicated tasks. Existing L2O models parameterize optimization rules by neural networks, and learn those…

Machine Learning · Computer Science 2022-05-10 Wenqing Zheng , Tianlong Chen , Ting-Kuei Hu , Zhangyang Wang

Large language models are increasingly capable at closed-world mathematical reasoning, but research assistance also requires source-grounded use of the literature. When a proof reaches a non-trivial step, a useful assistant should determine…

Artificial Intelligence · Computer Science 2026-05-12 Zicheng Lyu , Wenjie Yang , Shengzhong Zhang , Zengfeng Huang

Recent advances in automated theorem proving (ATP) through LLMs have highlighted the potential of formal reasoning with Lean 4 codes. However, ATP has not yet be revolutionized by the recent posttraining scaling as demonstrated by Open AI…

Artificial Intelligence · Computer Science 2025-07-15 Jingyuan Zhang , Qi Wang , Xingguang Ji , Yahui Liu , Yang Yue , Fuzheng Zhang , Di Zhang , Guorui Zhou , Kun Gai

The rapid proliferation of benchmarks for evaluating large language models (LLMs) has created an urgent need for systematic methods to assess benchmark quality itself. We propose Benchmark^2, a comprehensive framework comprising three…

Recent advances in large language models (LLMs) have shown impressive progress in mathematical reasoning tasks. However, current evaluation benchmarks predominantly focus on the accuracy of final answers, often overlooking the crucial…

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

Computation and Language · Computer Science 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang

The Isabelle/PIDE platform addresses the question whether proof assistants of the LCF family are suitable as technological basis for educational tools. The traditionally strong logical foundations of systems like HOL, Coq, or Isabelle have…

Logic in Computer Science · Computer Science 2012-02-23 Makarius Wenzel , Burkhart Wolff

Outcome-rewarded Large Language Models (LLMs) have demonstrated remarkable success in mathematical problem-solving. However, this success often masks a critical issue: models frequently achieve correct answers through fundamentally unsound…

Computation and Language · Computer Science 2025-06-25 Jiaxing Guo , Wenjie Yang , Shengzhong Zhang , Tongshan Xu , Lun Du , Da Zheng , Zengfeng Huang

This study introduces an evaluation benchmark for middle school algebra to be used in artificial intelligence(AI) based educational platforms. The goal is to support the design of AI systems that can enhance learner conceptual understanding…

Human-Computer Interaction · Computer Science 2024-12-06 Otero Nancy , Druga Stefania , Lan Andrew

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
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