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One of the most complex systems is the human brain whose formalized functioning is characterized by decision theory. We present a "Quantum Decision Theory" of decision making, based on the mathematical theory of separable Hilbert spaces.…

Artificial Intelligence · Computer Science 2010-10-29 V. I. Yukalov , D. Sornette

Despite extensive research, Large Language Models continue to hallucinate when generating code, particularly when using libraries. On NL-to-code benchmarks that require library use, we find that LLMs generate code that uses non-existent…

Computation and Language · Computer Science 2026-04-13 Clarissa Miranda-Pena , Andrew Reeson , Cécile Paris , Josiah Poon , Jonathan K. Kummerfeld

Large Language Models (LLMs) demonstrate potential in complex legal tasks like argument generation, yet their reliability remains a concern. Building upon pilot work assessing LLM generation of 3-ply legal arguments using human evaluation,…

Computation and Language · Computer Science 2025-06-04 Li Zhang , Morgan Gray , Jaromir Savelka , Kevin D. Ashley

Hallucination detection methods for large language models increasingly operate on chain-of-thought reasoning traces, yet it remains unclear whether they evaluate the reasoning itself or merely exploit surface correlates of the final answer.…

Computation and Language · Computer Science 2026-05-12 Geigh Zollicoffer , Minh Vu , Hongli Zhan , Raymond Li , Manish Bhattarai

Large reasoning models (LRMs) have shown remarkable progress on complex reasoning tasks. However, some questions posed to LRMs are inherently unanswerable, such as math problems lacking sufficient conditions. We find that LRMs continually…

Artificial Intelligence · Computer Science 2026-01-21 Yi Liu , Xiangyu Liu , Zequn Sun , Wei Hu

Hallucination remains a critical challenge in large language models (LLMs), hindering the development of reliable multimodal LLMs (MLLMs). Existing solutions often rely on human intervention or underutilize the agent's ability to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Zhongyu Yang , Yingfang Yuan , Xuanming Jiang , Baoyi An , Wei Pang

The emergence of large language models (LLMs) is a milestone in generative artificial intelligence, achieving significant success in text comprehension and generation tasks. Despite the tremendous success of LLMs in many downstream tasks,…

Computation and Language · Computer Science 2024-07-16 He Li , Haoang Chi , Mingyu Liu , Wenjing Yang

While Large Language Models have transformed how we interact with AI systems, they suffer from a critical flaw: they confidently generate false information that sounds entirely plausible. This hallucination problem has become a major…

Artificial Intelligence · Computer Science 2025-10-28 Piyushkumar Patel

Large language models (LLMs), including ChatGPT, Bard, and Llama, have achieved remarkable successes over the last two years in a range of different applications. In spite of these successes, there exist concerns that limit the wide…

Computation and Language · Computer Science 2024-01-17 Junliang Luo , Tianyu Li , Di Wu , Michael Jenkin , Steve Liu , Gregory Dudek

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

Large language models (LLMs) have been increasingly applied to a wide range of tasks, from natural language understanding to code generation. While they have also been used to assist in bibliographic recommendation, the hallucination of…

Computation and Language · Computer Science 2025-10-30 Junichiro Niimi

Large language models (LLMs) have demonstrated impressive language understanding and generation capabilities, enabling them to answer a wide range of questions across various domains. However, these models are not flawless and often produce…

Computation and Language · Computer Science 2024-09-23 Lang Cao

Despite efforts to expand the knowledge of large language models (LLMs), knowledge gaps -- missing or outdated information in LLMs -- might always persist given the evolving nature of knowledge. In this work, we study approaches to identify…

Computation and Language · Computer Science 2024-07-02 Shangbin Feng , Weijia Shi , Yike Wang , Wenxuan Ding , Vidhisha Balachandran , Yulia Tsvetkov

Large language models (LLMs) are known to "hallucinate" by generating false or misleading outputs. Hallucinations pose various harms, from erosion of trust to widespread misinformation. Existing hallucination evaluation, however, focuses…

Machine Learning · Computer Science 2026-02-03 Prakhar Ganesh , Reza Shokri , Golnoosh Farnadi

We show that all--instances termination of chase is undecidable. More precisely, there is no algorithm deciding, for a given set $\cal T$ consisting of Tuple Generating Dependencies (a.k.a. Datalog$^\exists$ program), whether the $\cal…

Databases · Computer Science 2015-12-08 Tomasz Gogacz , Jerzy Marcinkowski

Large language models (LLMs) frequently generate confident yet inaccurate responses, introducing significant risks for deployment in safety-critical domains. We present a novel, test-time approach to detecting model hallucination through…

Machine Learning · Computer Science 2025-10-07 Hazel Kim , Tom A. Lamb , Adel Bibi , Philip Torr , Yarin Gal

Abduction is a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining how the world behaves it aims at finding an explanation for some observed manifestation. In this paper we focus on propositional…

Computational Complexity · Computer Science 2010-06-29 Nadia Creignou , Johannes Schmidt , Michael Thomas

In rule-based systems, goal-oriented computations correspond naturally to the possible ways that an observation may be explained. In some applications, we need to compute explanations for a series of observations with the same domain. The…

Artificial Intelligence · Computer Science 2007-05-23 Fangzhen Lin , Jia-Huai You

AI applications driven by multimodal large language models (MLLMs) are prone to hallucinations and pose considerable risks to human users. Crucially, such hallucinations are not equally problematic: some hallucination contents could be…

Artificial Intelligence · Computer Science 2026-04-09 Jianhong Pang , Ruoxi Cheng , Ziyi Ye , Xingjun Ma , Zuxuan Wu , Xuanjing Huang , Yu-Gang Jiang

This paper is about computability. I claim the likely existence of a program DoesHalt(Program, Input) such that DoesHalt( HaltsOnItself, AntiSelf ) halts with resounding 'NO'. HaltsOnItself( Program ) is simply DoesHalt( Program, Program ).…

Logic in Computer Science · Computer Science 2018-01-12 X. Y. Newberry
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