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In this paper, we aim to establish a simple, effective, and theoretically grounded benchmark for rigorously probing abstract reasoning in Large Language Models (LLMs). To achieve this, we first develop a mathematic framework that defines…

Computation and Language · Computer Science 2025-06-02 Qingchuan Ma , Yuhang Wu , Xiawu Zheng , Rongrong Ji

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

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

Large Language Models (LLMs) have been successful in mathematical reasoning tasks such as formal theorem proving when integrated with interactive proof assistants like Lean. Existing approaches involve training or fine-tuning an LLM on a…

Machine Learning · Computer Science 2025-03-07 Adarsh Kumarappan , Mo Tiwari , Peiyang Song , Robert Joseph George , Chaowei Xiao , Anima Anandkumar

Recent Large Language Models (LLMs) have reported high accuracy on reasoning benchmarks. However, it is still unclear whether the observed results arise from true reasoning or from statistical recall of the training set. Inspired by the…

Computation and Language · Computer Science 2025-06-19 Xinnuo Xu , Rachel Lawrence , Kshitij Dubey , Atharva Pandey , Risa Ueno , Fabian Falck , Aditya V. Nori , Rahul Sharma , Amit Sharma , Javier Gonzalez

Benchmarks for large language models (LLMs) have predominantly assessed short-horizon, localized reasoning. Existing long-horizon suites (e.g. SWE-bench) rely on manually curated issues, so expanding or tuning difficulty demands expensive…

Machine Learning · Computer Science 2025-06-03 Kaivalya Hariharan , Uzay Girit , Atticus Wang , Jacob Andreas

Large language models have demonstrated impressive performance across many domains of mathematics and physics. One natural question is whether such models can support research in highly abstract theoretical fields such as quantum field…

Computational Physics · Physics 2026-04-17 Xingyang Yu , Yinghuan Zhang , Yufei Zhang , Zijun Cui

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

Despite impressive results on curated benchmarks, the practical impact of large language models (LLMs) on research-level neural theorem proving and proof autoformalization is still limited. We introduce RLMEval, an evaluation suite for…

Computation and Language · Computer Science 2025-10-30 Auguste Poiroux , Antoine Bosselut , Viktor Kunčak

While Large Language Models (LLMs) achieve near-human performance on standard benchmarks, their capabilities often fail to generalize to complex, real-world problems. To bridge this gap, we introduce DeepQuestion, a scalable, automated…

Computation and Language · Computer Science 2026-03-02 Ali Khoramfar , Ali Ramezani , Mohammad Mahdi Mohajeri , Mohammad Javad Dousti , Majid Nili Ahmadabadi , Heshaam Faili

Large language models (LLMs) have recently demonstrated remarkable progress in formal theorem proving. Yet their ability to serve as practical assistants for mathematicians, filling in missing steps within complex proofs, remains…

Computation and Language · Computer Science 2025-10-06 Xiao-Wen Yang , Zihao Zhang , Jianuo Cao , Zhi Zhou , Zenan Li , Lan-Zhe Guo , Yuan Yao , Taolue Chen , Yu-Feng Li , Xiaoxing Ma

Large language models (LLMs) achieve impressive scores on standard benchmarks yet routinely fail questions that any human would answer correctly in seconds. We introduce BrainBench, a benchmark of 100 brainteaser questions spanning 20…

Artificial Intelligence · Computer Science 2026-03-18 Yuzhe Tang

Test-time scaling has enabled Large Language Models (LLMs) to tackle complex reasoning, yet the limitations of current Chain-of-Thought (CoT) evaluation obscures whether performance gains stem from genuine reasoning or mere verbosity. To…

Artificial Intelligence · Computer Science 2026-01-08 Zhizhang Fu , Yuancheng Gu , Chenkai Hu , Hanmeng Liu , Yue Zhang

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Abstract reasoning ability reflects the intelligence and generalization capacity of LLMs to extract and apply abstract rules. However, accurately measuring this ability remains challenging: existing benchmarks either rely on expensive…

Artificial Intelligence · Computer Science 2026-05-19 Qingchuan Ma , Yuexiao Ma , Yongkang Xie , Tianyu Xie , Xiawu Zheng , Rongrong Ji

Large Language Models (LLMs) have recently achieved impressive performance in math and reasoning benchmarks. However, they often struggle with logic problems and puzzles that are relatively easy for humans. To further investigate this, we…

Artificial Intelligence · Computer Science 2025-09-16 Nasim Borazjanizadeh , Roei Herzig , Trevor Darrell , Rogerio Feris , Leonid Karlinsky

While large language models (LLMs) excel at many domain-specific tasks, their ability to deeply comprehend and reason about full-length academic papers remains underexplored. Existing benchmarks often fall short of capturing such depth,…

Artificial Intelligence · Computer Science 2026-01-08 Xinbang Dai , Huikang Hu , Yongrui Chen , Jiaqi Li , Rihui Jin , Yuyang Zhang , Xiaoguang Li , Lifeng Shang , Guilin Qi

Recent advancements in large language models (LLMs) have revitalized philosophical debates surrounding artificial intelligence. Two of the most fundamental challenges - namely, the Frame Problem and the Symbol Grounding Problem - have…

Artificial Intelligence · Computer Science 2025-06-10 Shoko Oka

Large reasoning models (LRMs) have achieved impressive performance in complex tasks, often outperforming conventional large language models (LLMs). However, the prevalent issue of overthinking severely limits their computational efficiency.…

Computation and Language · Computer Science 2025-05-29 Zhiyuan Li , Yi Chang , Yuan Wu

The black-box nature of Large Language Models necessitates novel evaluation frameworks that transcend surface-level performance metrics. This study investigates the internal neural representations of cognitive complexity using Bloom's…

Artificial Intelligence · Computer Science 2026-02-20 Bianca Raimondi , Maurizio Gabbrielli
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