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This paper presents an in-depth analysis of Large Language Models (LLMs), focusing on LLaMA, a prominent open-source foundational model in natural language processing. Instead of assessing LLaMA through its generative output, we design…

Computation and Language · Computer Science 2024-01-10 Nuo Chen , Ning Wu , Shining Liang , Ming Gong , Linjun Shou , Dongmei Zhang , Jia Li

Recent studies suggest that the deeper layers of Large Language Models (LLMs) contribute little to representation learning and can often be removed without significant performance loss. However, such claims are typically drawn from narrow…

Artificial Intelligence · Computer Science 2026-01-28 Xinyuan Song , Keyu Wang , PengXiang Li , Lu Yin , Shiwei Liu

With powerful large language models (LLMs) demonstrating superhuman reasoning capabilities, a critical question arises: Do LLMs genuinely reason, or do they merely recall answers from their extensive, web-scraped training datasets? Publicly…

Computation and Language · Computer Science 2025-04-28 Haowei Lin , Xiangyu Wang , Ruilin Yan , Baizhou Huang , Haotian Ye , Jianhua Zhu , Zihao Wang , James Zou , Jianzhu Ma , Yitao Liang

Large Language Models (LLMs) are smart but forgetful. Recent studies, (e.g., (Bubeck et al., 2023)) on modern LLMs have shown that they are capable of performing amazing tasks typically necessitating human-level intelligence. However,…

Computation and Language · Computer Science 2023-11-08 Eric Melz

Reasoning Language Models, capable of extended chain-of-thought reasoning, have demonstrated remarkable performance on tasks requiring complex logical inference. However, applying elaborate reasoning for all queries often results in…

Computation and Language · Computer Science 2025-06-27 Gongfan Fang , Xinyin Ma , Xinchao Wang

LLMs have made significant progress in the field of mathematical reasoning, but whether they have true the mathematical understanding ability is still controversial. To explore this issue, we propose a new perturbation framework to evaluate…

Artificial Intelligence · Computer Science 2025-11-12 Zhishen Sun , Guang Dai , Ivor Tsang , Haishan Ye

In this paper, we present a challenging code reasoning task: vulnerability detection. Large Language Models (LLMs) have shown promising results in natural-language and math reasoning, but state-of-the-art (SOTA) models reported only 54.5%…

Software Engineering · Computer Science 2025-01-09 Benjamin Steenhoek , Md Mahbubur Rahman , Monoshi Kumar Roy , Mirza Sanjida Alam , Hengbo Tong , Swarna Das , Earl T. Barr , Wei Le

Mathematical theorem proving is an important testbed for large language models' deep and abstract reasoning capability. This paper focuses on improving LLMs' ability to write proofs in formal languages that permit automated proof…

Machine Learning · Computer Science 2024-11-05 Kefan Dong , Arvind Mahankali , Tengyu Ma

Reinforcement learning with verifiable rewards (RLVR) has shown promise in enhancing the reasoning performance of large language models (LLMs) by increasing test-time compute. However, even after extensive RLVR training, such models still…

Artificial Intelligence · Computer Science 2026-03-10 Pinzheng Wang , Shuli Xu , Juntao Li , Yu Luo , Dong Li , Jianye Hao , Min Zhang

Large language models (LLMs) have shown significant progress in reasoning tasks. However, recent studies show that transformers and LLMs fail catastrophically once reasoning problems exceed modest complexity. We revisit these findings…

Artificial Intelligence · Computer Science 2025-10-28 Revanth Rameshkumar , Jimson Huang , Yunxin Sun , Fei Xia , Abulhair Saparov

Large language models (LLMs) recently exhibited remarkable reasoning capabilities on solving math problems. To further improve their reasoning capabilities, this work explores whether LLMs can LEarn from MistAkes (LEMA), akin to the human…

Computation and Language · Computer Science 2024-04-01 Shengnan An , Zexiong Ma , Zeqi Lin , Nanning Zheng , Jian-Guang Lou , Weizhu Chen

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

LLMs have demonstrated strong mathematical reasoning abilities by leveraging reinforcement learning with long chain-of-thought, yet they continue to struggle with theorem proving due to the lack of clear supervision signals when solely…

Large language models (LLMs) are increasingly embedded in AI-based tutoring systems. Can they faithfully model novice reasoning and metacognitive judgments? Existing evaluations emphasize problem-solving accuracy, overlooking the fragmented…

Computation and Language · Computer Science 2026-05-12 Conrad Borchers , Jill-Jênn Vie , Roger Azevedo

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

Large language models (LLMs) have recently been used as backbones for recommender systems. However, their performance often lags behind conventional methods in standard tasks like retrieval. We attribute this to a mismatch between LLMs'…

Information Retrieval · Computer Science 2024-04-02 Yuwei Cao , Nikhil Mehta , Xinyang Yi , Raghunandan Keshavan , Lukasz Heldt , Lichan Hong , Ed H. Chi , Maheswaran Sathiamoorthy

Recent math benchmarks for large language models (LLMs) such as MathArena indicate that state-of-the-art reasoning models achieve impressive performance on mathematical competitions like AIME, with the leading model, Gemini-2.5-Pro,…

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

We challenge the prevailing assumption that complex reasoning in large language models (LLMs) necessitates massive training data. We demonstrate that sophisticated mathematical reasoning can emerge with only a few examples. Specifically,…

Computation and Language · Computer Science 2025-07-30 Yixin Ye , Zhen Huang , Yang Xiao , Ethan Chern , Shijie Xia , Pengfei Liu