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Advanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring…

Large language models (LLMs) have recently demonstrated impressive performance on complex, multi-step reasoning tasks, especially when post-trained with outcome-rewarded reinforcement learning Guo et al. 2025. However, it has been observed…

Artificial Intelligence · Computer Science 2026-04-01 Luoxin Chen , Yichi Zhou , Huishuai Zhang

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…

Artificial Intelligence · Computer Science 2025-12-17 Yang Cao , Yubin Chen , Xuyang Guo , Zhao Song , Song Yue , Jiahao Zhang , Jiale Zhao

Large Language Models (LLMs) have demonstrated formidable capabilities in solving mathematical problems, yet they may still commit logical reasoning and computational errors during the problem-solving process. Thus, this paper proposes a…

Artificial Intelligence · Computer Science 2025-05-28 Kuo Zhou , Lu Zhang

LLMs can solve complex tasks by generating long, multi-step reasoning chains. Test-time scaling (TTS) can further improve performance by sampling multiple variants of intermediate reasoning steps, verifying their correctness, and selecting…

Recent frontier-level LLMs have saturated many previously difficult benchmarks, leaving little room for further differentiation. This progress highlights the need for challenging benchmarks that provide objective verification. In this…

Computation and Language · Computer Science 2025-10-10 Hyeonseok Moon , Seongtae Hong , Jaehyung Seo , Heuiseok Lim

Reasoning has emerged as the next major frontier for language models (LMs), with rapid advances from both academic and industrial labs. However, this progress often outpaces methodological rigor, with many evaluations relying on…

Machine Learning · Computer Science 2025-10-08 Andreas Hochlehnert , Hardik Bhatnagar , Vishaal Udandarao , Samuel Albanie , Ameya Prabhu , Matthias Bethge

Reinforcement Learning with Verifiable Rewards (RLVR) has catalyzed significant breakthroughs in complex LLM reasoning within verifiable domains, such as mathematics and programming. Recent efforts have sought to extend this paradigm to…

Machine Learning · Computer Science 2026-02-03 Zheng Zhang , Ao Lu , Yuanhao Zeng , Ziwei Shan , Jinjin Guo , Lufei Li , Yexin Li , Kan Ren

Evaluating the symbolic reasoning of large language models (LLMs) calls for geometry benchmarks that require multi-step proofs grounded in both text and diagrams. However, existing benchmarks are often limited in scale and rarely provide…

Computation and Language · Computer Science 2026-03-23 Yushun Zhang , Weiping Fu , Zesheng Yang , Bo Zhao , Lingling Zhang , Jian Zhang , Yumeng Fu , Jiaxing Huang , Jun Liu

Accurate estimates of item difficulty are essential for valid assessment and effective adaptive learning. However, for newly created tasks, response data are typically unavailable. Pretesting and expert judgement can be costly and slow,…

Large Language Models (LLMs) suffer from critical reasoning gaps, including a tendency to hallucinate and poor accuracy in classifying logical fallacies. This limitation stems from their default System 1 processing, which is fast and…

Artificial Intelligence · Computer Science 2025-10-14 Olivia Peiyu Wang , Tashvi Bansal , Ryan Bai , Emily M. Chui , Leilani H. Gilpin

Large language models (LLMs) are increasingly used for optimization modeling and solver-code generation, yet practical operations research and optimization problems often require a harder capability: designing scalable algorithms that…

Recent advancements in large language models (LLMs) suggest great promises in code and proof generations. However, scaling automated formal verification to real-world projects requires resolving cross-module dependencies and global…

Software Engineering · Computer Science 2025-10-01 Si Cheng Zhong , Xujie Si

Logical reasoning has been an ongoing pursuit in the field of AI. Despite significant advancements made by large language models (LLMs), they still struggle with complex logical reasoning problems. To enhance reasoning performance, one…

Artificial Intelligence · Computer Science 2024-03-26 Ruixin Hong , Hongming Zhang , Xinyu Pang , Dong Yu , Changshui Zhang

Ensuring that large language models (LLMs) can effectively assess, detect, explain, and remediate software vulnerabilities is critical for building robust and secure software systems. We introduce VADER, a human-evaluated benchmark designed…

Cryptography and Security · Computer Science 2025-05-27 Ethan TS. Liu , Austin Wang , Spencer Mateega , Carlos Georgescu , Danny Tang

Code generation is a core capability of large language models (LLMs), yet mainstream benchmarks (e.g., APPs and LiveCodeBench) contain questions with medium-level difficulty and pose no challenge to advanced LLMs. To better reflected the…

Software Engineering · Computer Science 2025-10-21 Xiangyang Li , Xiaopeng Li , Kuicai Dong , Quanhu Zhang , Rongju Ruan , Xinyi Dai , Xiaoshuang Liu , Shengchun Xu , Yasheng Wang , Ruiming Tang

We present MultiChallenge, a pioneering benchmark evaluating large language models (LLMs) on conducting multi-turn conversations with human users, a crucial yet underexamined capability for their applications. MultiChallenge identifies four…

Computation and Language · Computer Science 2025-03-07 Ved Sirdeshmukh , Kaustubh Deshpande , Johannes Mols , Lifeng Jin , Ed-Yeremai Cardona , Dean Lee , Jeremy Kritz , Willow Primack , Summer Yue , Chen Xing

We introduce our Leanabell-Prover-V2, a 7B large language models (LLMs) that can produce formal theorem proofs in Lean 4, with verifier-integrated Long Chain-of-Thoughts (CoT). Following our previous work Leanabell-Prover-V1, we continual…

Artificial Intelligence · Computer Science 2025-07-14 Xingguang Ji , Yahui Liu , Qi Wang , Jingyuan Zhang , Yang Yue , Rui Shi , Chenxi Sun , Fuzheng Zhang , Guorui Zhou , Kun Gai

Large language models (LLMs) are increasingly integrated in software development, but ensuring correctness in LLM-generated code remains challenging and often requires costly manual review. Verifiable code generation -- jointly generating…

Machine Learning · Computer Science 2026-03-18 Zhe Ye , Zhengxu Yan , Jingxuan He , Timothe Kasriel , Kaiyu Yang , Dawn Song

With the significant progress of large reasoning models in complex coding and reasoning tasks, existing benchmarks, like LiveCodeBench and CodeElo, are insufficient to evaluate the coding capabilities of large language models (LLMs) in real…

Computation and Language · Computer Science 2025-06-06 Shiyi Xu , Yiwen Hu , Yingqian Min , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen
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