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The cognitive mechanism by which Large Language Models (LLMs) solve mathematical problems remains a widely debated and unresolved issue. Currently, there is little interpretable experimental evidence that connects LLMs' problem-solving with…

Artificial Intelligence · Computer Science 2025-09-23 Wei Xie , Shuoyoucheng Ma , Zhenhua Wang , Enze Wang , Kai Chen , Xiaobing Sun , Baosheng Wang

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Large language models (LLMs) can solve problems step-by-step. While this chain-of-thought (CoT) reasoning boosts LLMs' performance, it is unclear if LLMs \textit{know} when to use CoT and whether those CoT are always necessary to answer the…

Computation and Language · Computer Science 2024-03-21 Cheng-Han Chiang , Hung-yi Lee

Large Language Models (LLMs) are transformer-based machine learning models that have shown remarkable performance in tasks for which they were not explicitly trained. Here, we explore the potential of LLMs to perform symbolic regression --…

Computation and Language · Computer Science 2026-04-17 Samiha Sharlin , Tyler R. Josephson

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

Computation and Language · Computer Science 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

Mathematical reasoning and optimization are fundamental to artificial intelligence and computational problem-solving. Recent advancements in Large Language Models (LLMs) have significantly improved AI-driven mathematical reasoning, theorem…

Artificial Intelligence · Computer Science 2025-03-25 Ali Forootani

Large language models (LLMs), such as GPT-3 and GPT-4, have demonstrated exceptional performance in various natural language processing tasks and have shown the ability to solve certain reasoning problems. However, their reasoning…

Artificial Intelligence · Computer Science 2023-07-18 Adam Ishay , Zhun Yang , Joohyung Lee

Chain-of-thought (CoT) reasoning has enabled large language models (LLMs) to utilize additional computation through intermediate tokens to solve complex tasks. However, we posit that typical reasoning traces contain many redundant tokens,…

Computation and Language · Computer Science 2025-06-11 Tergel Munkhbat , Namgyu Ho , Seo Hyun Kim , Yongjin Yang , Yujin Kim , Se-Young Yun

Recent advancements in large language models have showcased their remarkable generalizability across various domains. However, their reasoning abilities still have significant room for improvement, especially when confronted with scenarios…

Computation and Language · Computer Science 2024-03-27 Xufeng Zhao , Mengdi Li , Wenhao Lu , Cornelius Weber , Jae Hee Lee , Kun Chu , Stefan Wermter

Neuro-symbolic NLP methods aim to leverage the complementary strengths of large language models and formal logical solvers. However, current approaches are mostly static in nature, i.e., the integration of a target solver is predetermined…

Computation and Language · Computer Science 2025-10-09 Lei Xu , Pierre Beckmann , Marco Valentino , André Freitas

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

Computation and Language · Computer Science 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan

Retrained large language models (LLMs) have become extensively used across various sub-disciplines of natural language processing (NLP). In NLP, text classification problems have garnered considerable focus, but still faced with some…

Computation and Language · Computer Science 2023-12-05 Zhiqiang Wang , Yiran Pang , Yanbin Lin

The emergent few-shot reasoning capabilities of Large Language Models (LLMs) have excited the natural language and machine learning community over recent years. Despite of numerous successful applications, the underlying mechanism of such…

Computation and Language · Computer Science 2023-06-09 Xiaojuan Tang , Zilong Zheng , Jiaqi Li , Fanxu Meng , Song-Chun Zhu , Yitao Liang , Muhan Zhang

Large Language Models (LLMs) have demonstrated impressive mathematical reasoning capabilities, yet their performance remains brittle to minor variations in problem description and prompting strategy. Furthermore, reasoning is vulnerable to…

Computation and Language · Computer Science 2025-06-23 Sam Silver , Jimin Sun , Ivan Zhang , Sara Hooker , Eddie Kim

Large Language Models (LLMs) still struggle with complex logical reasoning. While previous works achieve remarkable improvements, their performance is highly dependent on the correctness of translating natural language (NL) problems into a…

Artificial Intelligence · Computer Science 2025-10-14 Xiangyu Wang , Haocheng Yang , Fengxiang Cheng , Fenrong Liu

The emergence of Large Language Models (LLMs) has demonstrated promising progress in solving logical reasoning tasks effectively. Several recent approaches have proposed to change the role of the LLM from the reasoner into a translator…

Computation and Language · Computer Science 2024-07-12 Long Hei Matthew Lam , Ramya Keerthy Thatikonda , Ehsan Shareghi

This paper investigates the utilization of Large Language Models (LLMs) for solving complex linguistic puzzles, a domain requiring advanced reasoning and adept translation capabilities akin to human cognitive processes. We explore specific…

Computation and Language · Computer Science 2025-02-04 Zheng-Lin Lin , Yu-Fei Shih , Shu-Kai Hsieh

A critical question about Large Language Models (LLMs) is whether their apparent deficiency in mathematical reasoning is inherent, or merely a result of insufficient exposure to high-quality mathematical data. To explore this, we developed…

Artificial Intelligence · Computer Science 2024-12-09 Zenan Li , Zhi Zhou , Yuan Yao , Yu-Feng Li , Chun Cao , Fan Yang , Xian Zhang , Xiaoxing Ma

The performance of Large language models (LLMs) across a broad range of domains has been impressive but have been critiqued as not being able to reason about their process and conclusions derived. This is to explain the conclusions draw,…

Computation and Language · Computer Science 2024-10-30 Rob Sullivan , Nelly Elsayed

Against the backdrop of enthusiasm for large language models (LLMs), there is a growing need to scientifically assess their capabilities and shortcomings. This is nontrivial in part because it is difficult to find tasks which the models…