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In this paper we look at the ability of recent large language models (LLMs) at solving mathematical problems in combinatorics. We compare models LLaMA-2, LLaMA-3.1, GPT-4, and Mixtral against each other and against human pupils and…

Computation and Language · Computer Science 2024-12-17 Andrii Nikolaiev , Yiannos Stathopoulos , Simone Teufel

The advancement of Large Language Models (LLMs) has greatly improved our ability to process complex language. However, accurately detecting logical fallacies remains a significant challenge. This study presents a novel and effective prompt…

Artificial Intelligence · Computer Science 2025-04-01 Jiwon Jeong , Hyeju Jang , Hogun Park

Large Language Models (LLMs) have demonstrated remarkable capabilities in various educational tasks, yet their alignment with human learning patterns, particularly in predicting which incorrect options students are most likely to select in…

Computation and Language · Computer Science 2025-02-24 Naiming Liu , Shashank Sonkar , Richard G. Baraniuk

Large language models (LLMs) have shown impressive capabilities, but still struggle with complex reasoning tasks requiring multiple steps. While prompt-based methods like Chain-of-Thought (CoT) can improve LLM reasoning at inference time,…

Artificial Intelligence · Computer Science 2024-11-25 Haolin Chen , Yihao Feng , Zuxin Liu , Weiran Yao , Akshara Prabhakar , Shelby Heinecke , Ricky Ho , Phil Mui , Silvio Savarese , Caiming Xiong , Huan Wang

Recent advancements in reinforcement learning (RL) for large language models (LLMs), exemplified by DeepSeek R1, have shown that even a simple question-answering task can substantially improve an LLM's reasoning capabilities. In this work,…

Computation and Language · Computer Science 2025-03-10 Stephen Chung , Wenyu Du , Jie Fu

Large language models (LLMs) often struggle with complex mathematical tasks, prone to "hallucinating" incorrect answers due to their reliance on statistical patterns. This limitation is further amplified in average Small LangSLMs with…

Large reasoning models (LRMs) tackle complex reasoning problems by following long chain-of-thoughts (Long CoT) that incorporate reflection, backtracking, and self-validation. However, the training techniques and data requirements to elicit…

Automatic math correction aims to check students' solutions to mathematical problems via artificial intelligence technologies. Most existing studies focus on judging the final answer at the problem level, while they ignore detailed feedback…

Computation and Language · Computer Science 2025-03-25 Junsong Li , Jie Zhou , Yutao Yang , Bihao Zhan , Qianjun Pan , Yuyang Ding , Qin Chen , Jiang Bo , Xin Lin , Liang He

The development of highly fluent large language models (LLMs) has prompted increased interest in assessing their reasoning and problem-solving capabilities. We investigate whether several LLMs can solve a classic type of deductive reasoning…

Computation and Language · Computer Science 2024-04-16 Spencer M. Seals , Valerie L. Shalin

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

Large Language Models (LLMs) achieve impressive performance in a wide range of tasks, even if they are often trained with the only objective of chatting fluently with users. Among other skills, LLMs show emergent abilities in mathematical…

Computation and Language · Computer Science 2024-06-12 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Large language models (LLMs) are capable of writing grammatical text that follows instructions, answers questions, and solves problems. As they have advanced, it has become difficult to distinguish their output from human-written text.…

Computation and Language · Computer Science 2025-08-25 Alex Reinhart , Ben Markey , Michael Laudenbach , Kachatad Pantusen , Ronald Yurko , Gordon Weinberg , David West Brown

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

Reinforcement Learning (RL) has been shown to significantly boost reasoning capabilities of large language models (LLMs) in math, coding, and multi-hop reasoning tasks. However, RL fine-tuning requires abundant high-quality verifiable data,…

Pretrained language models have shown superior performance on many natural language processing tasks, yet they still struggle at multi-step formal reasoning tasks like grade school math problems. One key challenge of finetuning them to…

Machine Learning · Computer Science 2023-02-20 Ansong Ni , Jeevana Priya Inala , Chenglong Wang , Oleksandr Polozov , Christopher Meek , Dragomir Radev , Jianfeng Gao

Studies have underscored how, regardless of the recent breakthrough and swift advances in AI research, even state-of-the-art Large Language models (LLMs) continue to struggle when performing logical and mathematical reasoning. The results…

Artificial Intelligence · Computer Science 2024-12-20 Federico Castagna , Isabel Sassoon , Simon Parsons

Self-correction has emerged as a promising solution to boost the reasoning performance of large language models (LLMs), where LLMs refine their solutions using self-generated critiques that pinpoint the errors. This work explores whether…

Computation and Language · Computer Science 2024-06-07 Yunxiang Zhang , Muhammad Khalifa , Lajanugen Logeswaran , Jaekyeom Kim , Moontae Lee , Honglak Lee , Lu Wang

Large language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in…

Computation and Language · Computer Science 2024-02-23 Minpeng Liao , Wei Luo , Chengxi Li , Jing Wu , Kai Fan

LLMs trained in the understanding of programming syntax are now providing effective assistance to developers and are being used in programming education such as in generation of coding problem examples or providing code explanations. A key…

Artificial Intelligence · Computer Science 2024-11-19 Yanggyu Lee , Suchae Jeong , Jihie Kim