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Mathematical reasoning is a hallmark of human intelligence, and whether large language models (LLMs) can meaningfully perform it remains a central question in artificial intelligence and cognitive science. As LLMs are increasingly…

计算与语言 · 计算机科学 2026-04-03 Linyang He , Qiyao Yu , Hanze Dong , Baohao Liao , Xinxing Xu , Micah Goldblum , Jiang Bian , Nima Mesgarani

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…

计算与语言 · 计算机科学 2026-05-08 Jicheng Ma , Guohua Wang , Xinhua Feng , Yiming Liu , Zhichao Hu , Yuhong Liu

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…

计算与语言 · 计算机科学 2024-05-21 Hongwei Liu , Zilong Zheng , Yuxuan Qiao , Haodong Duan , Zhiwei Fei , Fengzhe Zhou , Wenwei Zhang , Songyang Zhang , Dahua Lin , Kai Chen

Geometry problems are a crucial testbed for AI reasoning capabilities. Most existing geometry solving systems cannot express problems within a unified framework, thus are difficult to integrate with other mathematical fields. Besides, since…

人工智能 · 计算机科学 2025-08-21 Chendong Song , Zihan Wang , Frederick Pu , Haiming Wang , Xiaohan Lin , Junqi Liu , Jia Li , Zhengying Liu

Can AI make progress on important, unsolved mathematical problems? Large language models are now capable of sophisticated mathematical and scientific reasoning, but whether they can perform novel research is still widely debated and…

The performance of large language models (LLMs) on existing reasoning benchmarks has significantly improved over the past years. In response, we present JEEBench, a considerably more challenging benchmark dataset for evaluating the problem…

计算与语言 · 计算机科学 2023-10-24 Daman Arora , Himanshu Gaurav Singh , Mausam

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…

Large language models (LLMs) have recently achieved remarkable success in generating rigorous mathematical proofs, with "AI for Math" emerging as a vibrant field of research (Ju et al., 2026). While these models have mastered…

人工智能 · 计算机科学 2026-03-10 Lve Meng , Weilong Zhao , Yanzhi Zhang , Haoxiang Guan , Jiyan He

Recent advances in large language models (LLMs) have demonstrated impressive capabilities in formal theorem proving, particularly on contest-based mathematical benchmarks like the IMO. However, these contests do not reflect the depth,…

Geometric spatial reasoning forms the foundation of many applications in artificial intelligence, yet the ability of large language models (LLMs) to operate over geometric spatial information expressed in procedural code remains…

人工智能 · 计算机科学 2026-02-11 Shixian Luo , Zezhou Zhu , Yu Yuan , Yuncheng Yang , Lianlei Shan , Yong Wu

The rapid advancement of large language models (LLMs) has led to significant breakthroughs in automated mathematical reasoning and scientific discovery. Georgiev, G${\'o}$mez-Serrano, Tao, and Wagner [GGSTW+25] demonstrate that AI systems…

人工智能 · 计算机科学 2025-12-17 Yang Cao , Yubin Chen , Xuyang Guo , Zhao Song , Song Yue , Jiahao Zhang , Jiale Zhao

Large language model (LLM)-based reasoning systems have recently achieved gold medal-level performance in the IMO 2025 competition, writing mathematical proofs where, to receive full credit, each step must be not only correct but also…

人工智能 · 计算机科学 2025-10-16 Shrey Pandit , Austin Xu , Xuan-Phi Nguyen , Yifei Ming , Caiming Xiong , Shafiq Joty

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

人工智能 · 计算机科学 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou

Large Language Models (LLMs) have demonstrated remarkable capabilities across diverse applications, from open-domain question answering to scientific writing, medical decision support, and legal analysis. However, their tendency to generate…

计算与语言 · 计算机科学 2025-12-30 Diyana Muhammed , Giusy Giulia Tuccari , Gollam Rabby , Sören Auer , Sahar Vahdati

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…

计算与语言 · 计算机科学 2025-01-03 Ziye Chen , Hao Qi

Reasoning ability has become a central focus in the advancement of Large Reasoning Models (LRMs). Although notable progress has been achieved on several reasoning benchmarks such as MATH500 and LiveCodeBench, existing benchmarks for…

人工智能 · 计算机科学 2026-01-12 Henan Sun , Kaichi Yu , Yuyao Wang , Bowen Liu , Xunkai Li , Rong-Hua Li , Nuo Chen , Jia Li

Mathematical reasoning serves as a cornerstone for assessing the fundamental cognitive capabilities of human intelligence. In recent times, there has been a notable surge in the development of Large Language Models (LLMs) geared towards the…

计算与语言 · 计算机科学 2024-09-18 Janice Ahn , Rishu Verma , Renze Lou , Di Liu , Rui Zhang , Wenpeng Yin

Translating human-written mathematical theorems and proofs from natural language (NL) into formal languages (FLs) like Lean 4 has long been a significant challenge for AI. Most state-of-the-art methods either focus on theorem-only NL-to-FL…

计算机科学中的逻辑 · 计算机科学 2026-03-31 Prithwish Jana , Kaan Kale , Ahmet Ege Tanriverdi , Cruise Song , Sriram Vishwanath , Vijay Ganesh

Reliable autoformalization remains challenging even in the era of large language models (LLMs). The scarcity of high-quality training data is a major bottleneck. Expert annotation requires substantial time and deep expertise in both…

人工智能 · 计算机科学 2026-03-12 Param Biyani , Shashank Kirtania , Yasharth Bajpai , Sumit Gulwani , Ashish Tiwari