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Traditional language models face a challenge from hallucinations. Their very presence casts a large, dangerous shadow over the promising realm of natural language processing. It becomes crucial to understand the various kinds of…

Computation and Language · Computer Science 2025-12-03 Parth Pulkundwar , Vivek Dhanawade , Rohit Yadav , Minal Sonkar , Medha Asurlekar , Sarita Rathod

Large Language Models (LLMs) have achieved remarkable performance across a wide variety of natural language tasks. However, they have been shown to suffer from a critical limitation pertinent to 'hallucination' in their output. Recent…

Computation and Language · Computer Science 2024-06-11 Neeraj Varshney , Satyam Raj , Venkatesh Mishra , Agneet Chatterjee , Ritika Sarkar , Amir Saeidi , Chitta Baral

Since many real-world problems arising in the fields of compiler optimisation, automated software engineering, formal proof systems, and so forth are equivalent to the Halting Problem--the most notorious undecidable problem--there is a…

Information Theory · Computer Science 2007-07-13 Cristian S. Calude , Michael A. Stay

Can a physicist make only a finite number of errors in the eternal quest to uncover the law of nature? This millennium-old philosophical problem, known as inductive inference, lies at the heart of epistemology. Despite its significance to…

Machine Learning · Computer Science 2024-09-27 Zhou Lu

Hallucination, one kind of pathological translations that bothers Neural Machine Translation, has recently drawn much attention. In simple terms, hallucinated translations are fluent sentences but barely related to source inputs. Arguably,…

Computation and Language · Computer Science 2022-06-28 Jianhao Yan , Fandong Meng , Jie Zhou

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca

This work introduces a novel methodology for the automatic detection of hallucinations generated during large language model (LLM) inference. The proposed approach is based on a systematic taxonomy and controlled reproduction of diverse…

Computation and Language · Computer Science 2025-10-08 Maksym Zavhorodnii , Dmytro Dehtiarov , Anna Konovalenko

We introduce a novel framework of ranking with abstention, where the learner can abstain from making prediction at some limited cost $c$. We present a extensive theoretical analysis of this framework including a series of $H$-consistency…

Machine Learning · Computer Science 2023-07-06 Anqi Mao , Mehryar Mohri , Yutao Zhong

Hallucinations in large language models (LLMs), defined as fluent yet incorrect or incoherent outputs, pose a significant challenge to the automatic generation of educational multiple-choice questions (MCQs). We identified four key…

Computation and Language · Computer Science 2026-01-22 Nicholas X. Wang , Aggelos K. Katsaggelos

We formalize two independent computational limitations that constrain algorithmic intelligence: formal incompleteness and dynamical unpredictability. The former limits the deductive power of consistent reasoning systems while the latter…

Artificial Intelligence · Computer Science 2025-12-23 Abhisek Ganguly

Negation is both an operation in formal logic and in natural language by which a proposition is replaced by one stating the opposite, as by the addition of "not" or another negation cue. Treating negation in an adequate way is required for…

Computation and Language · Computer Science 2021-10-14 Claudia Schon , Sophie Siebert , Frieder Stolzenburg

As students increasingly rely on large language models, hallucinations pose a growing threat to learning. To mitigate this, AI literacy must expand beyond prompt engineering to address how students should detect and respond to LLM…

Human-Computer Interaction · Computer Science 2026-02-23 Abdulhadi Shoufan , Ahmad-Azmi-Abdelhamid Esmaeil

Generation of plausible yet incorrect factual information, termed hallucination, is an unsolved issue in large language models. We study the ability of language models to deliberate on the responses they give in order to correct their…

Computation and Language · Computer Science 2023-09-26 Shehzaad Dhuliawala , Mojtaba Komeili , Jing Xu , Roberta Raileanu , Xian Li , Asli Celikyilmaz , Jason Weston

While Large Language Models (LLM) are able to accumulate and restore knowledge, they are still prone to hallucination. Especially when faced with factual questions, LLM cannot only rely on knowledge stored in parameters to guarantee…

Computation and Language · Computer Science 2024-01-04 Pierre Erbacher , Louis Falissar , Vincent Guigue , Laure Soulier

We study the key framework of learning with abstention in the multi-class classification setting. In this setting, the learner can choose to abstain from making a prediction with some pre-defined cost. We present a series of new theoretical…

Machine Learning · Computer Science 2024-04-02 Anqi Mao , Mehryar Mohri , Yutao Zhong

Large Language Models (LLMs) can make up answers that are not real, and this is known as hallucination. This research aims to see if, how, and to what extent LLMs are aware of hallucination. More specifically, we check whether and how an…

Computation and Language · Computer Science 2024-02-16 Hanyu Duan , Yi Yang , Kar Yan Tam

A century ago, discoveries of a serious kind of logical error made separately by several leading mathematicians led to acceptance of a sharply enhanced standard for rigor within what ultimately became the foundation for Computer Science. By…

Other Computer Science · Computer Science 2019-06-03 Arthur Charlesworth

Despite impressive advances in Natural Language Generation (NLG) and Large Language Models (LLMs), researchers are still unclear about important aspects of NLG evaluation. To substantiate this claim, I examine current classifications of…

Computation and Language · Computer Science 2024-01-17 Kees van Deemter

An oblivious computation is one that is free of direct and indirect information leaks, e.g., due to observable differences in timing and memory access patterns. This paper presents Lambda Obliv, a core language whose type system enforces…

Programming Languages · Computer Science 2019-11-14 David Darais , Ian Sweet , Chang Liu , Michael Hicks

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

Artificial Intelligence · Computer Science 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva