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This paper investigates how hallucination rates in Large Language Models (LLMs) may be controlled via a symbolic data generation framework, exploring a fundamental relationship between the rate of certain mathematical errors and types of…

Computation and Language · Computer Science 2025-01-14 Jordan Meadows , Marco Valentino , Andre Freitas

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle…

Computation and Language · Computer Science 2025-08-12 Anselm R. Strohmaier , Wim Van Dooren , Kathrin Seßler , Brian Greer , Lieven Verschaffel

Large language models (LLMs) have been shown to possess impressive capabilities, while also raising crucial concerns about the faithfulness of their responses. A primary issue arising in this context is the management of (un)answerable…

Computation and Language · Computer Science 2023-11-14 Aviv Slobodkin , Omer Goldman , Avi Caciularu , Ido Dagan , Shauli Ravfogel

Large language models (LLMs) have recently shown strong performance on mathematical benchmarks. At the same time, they are prone to hallucination and sycophancy, often providing convincing but flawed proofs for incorrect mathematical…

Artificial Intelligence · Computer Science 2025-10-07 Ivo Petrov , Jasper Dekoninck , Martin Vechev

The inherent probabilistic nature of Large Language Models (LLMs) introduces an element of unpredictability, raising concerns about potential discrepancies in their output. This paper introduces an innovative approach aims to generate…

Robotics · Computer Science 2024-02-23 Md Sadman Sakib , Yu Sun

While the recently introduced Tree of Thoughts (ToT) has heralded advancements in allowing Large Language Models (LLMs) to reason through foresight and backtracking for global decision-making, it has overlooked the inherent local…

Computation and Language · Computer Science 2023-09-15 Shentong Mo , Miao Xin

Large language models (LLMs) are known to generate plausible but false information across a wide range of contexts, yet the real-world magnitude and consequences of this hallucination problem remain poorly understood. Here we leverage a…

Digital Libraries · Computer Science 2026-05-11 Zhenyue Zhao , Yihe Wang , Toby Stuart , Mathijs De Vaan , Paul Ginsparg , Yian Yin

Large language models (LLMs) have gained broad applications across various domains but still struggle with hallucinations. Currently, hallucinations occur frequently in the generation of factual content and pose a great challenge to…

Computation and Language · Computer Science 2025-12-01 Zouying Cao , Yifei Yang , XiaoJing Li , Hai Zhao

Large language models (LLMs) exhibit logically inconsistent hallucinations that appear coherent yet violate reasoning principles, with recent research suggesting an inverse relationship between causal reasoning capabilities and such…

Computation and Language · Computer Science 2025-11-13 Yuangang Li , Yiqing Shen , Yi Nian , Jiechao Gao , Ziyi Wang , Chenxiao Yu , Shawn Li , Jie Wang , Xiyang Hu , Yue Zhao

Large Language Models (LLMs) have limited performance when solving arithmetic reasoning tasks and often provide incorrect answers. Unlike natural language understanding, math problems typically have a single correct answer, making the task…

Computation and Language · Computer Science 2023-03-10 Shima Imani , Liang Du , Harsh Shrivastava

The emergence of large language models (LLMs) has marked a significant breakthrough in natural language processing (NLP), fueling a paradigm shift in information acquisition. Nevertheless, LLMs are prone to hallucination, generating…

Computation and Language · Computer Science 2024-11-20 Lei Huang , Weijiang Yu , Weitao Ma , Weihong Zhong , Zhangyin Feng , Haotian Wang , Qianglong Chen , Weihua Peng , Xiaocheng Feng , Bing Qin , Ting Liu

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

Large language models (LLMs) often generate responses that deviate from user input or training data, a phenomenon known as "hallucination." These hallucinations undermine user trust and hinder the adoption of generative AI systems.…

Computation and Language · Computer Science 2025-04-25 Yejin Bang , Ziwei Ji , Alan Schelten , Anthony Hartshorn , Tara Fowler , Cheng Zhang , Nicola Cancedda , Pascale Fung

Artificial Intelligence (AI), particularly Large Language Models (LLMs), is transforming scientific discovery, enabling rapid knowledge generation and hypothesis formulation. However, a critical challenge is hallucination, where LLMs…

Artificial Intelligence · Computer Science 2025-12-30 Bhanu Prakash Vangala , Sajid Mahmud , Pawan Neupane , Joel Selvaraj , Jianlin Cheng

Despite their impressive capabilities, large language models (LLMs) have been observed to generate responses that include inaccurate or fabricated information, a phenomenon commonly known as ``hallucination''. In this work, we propose a…

Computation and Language · Computer Science 2024-03-12 Yue Zhang , Leyang Cui , Wei Bi , Shuming Shi

Hallucination has been widely recognized to be a significant drawback for large language models (LLMs). There have been many works that attempt to reduce the extent of hallucination. These efforts have mostly been empirical so far, which…

Computation and Language · Computer Science 2025-02-14 Ziwei Xu , Sanjay Jain , Mohan Kankanhalli

In Natural Language Generation (NLG), contemporary Large Language Models (LLMs) face several challenges, such as generating fluent yet inaccurate outputs and reliance on fluency-centric metrics. This often leads to neural networks…

Computation and Language · Computer Science 2025-12-19 Federico Borra , Claudio Savelli , Giacomo Rosso , Alkis Koudounas , Flavio Giobergia

Large language models (LLMs) have achieved impressive performance across a wide range of natural language processing tasks, yet they often produce hallucinated content that undermines factual reliability. To address this challenge, we…

Computation and Language · Computer Science 2026-03-23 Yaxin Zhao , Yu Zhang

Large language models have achieved substantial progress in mathematical reasoning, yet their advancement is limited by the scarcity of high-quality, high-difficulty training data. Existing synthesis methods largely rely on transforming…

Computation and Language · Computer Science 2026-03-10 Shaoxiong Zhan , Yanlin Lai , Ziyu Lu , Dahua Lin , Ziqing Yang , Fei Tan

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