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Given a first-order sentence, a model-checking computation tests whether the sentence holds true in a given finite structure. Data provenance extracts from this computation an abstraction of the manner in which its result depends on the…

Logic in Computer Science · Computer Science 2017-12-07 Erich Grädel , Val Tannen

Large language models underestimate the impact of negations on how much they change the meaning of a sentence. Therefore, learned evaluation metrics based on these models are insensitive to negations. In this paper, we propose NegBLEURT, a…

Computation and Language · Computer Science 2023-07-27 Miriam Anschütz , Diego Miguel Lozano , Georg Groh

Random permutation set (RPS), as a recently proposed theory, enables powerful information representation by traversing all possible permutations. However, the repetition of items is not allowed in RPS while it is quite common in real life.…

Artificial Intelligence · Computer Science 2022-11-07 Wenran Yang , Yong Deng

A dozen papers have considered the concept of negation of probability distributions (pd) introduced by Yager. Usually, such negations are generated point-by-point by functions defined on a set of probability values and called here negators.…

Artificial Intelligence · Computer Science 2021-03-31 Ildar Batyrshin

Over time, there have hen refinements in the way that probability distributions are used for representing beliefs. Models which rely on single probability distributions depict a complete ordering among the propositions of interest, yet…

Artificial Intelligence · Computer Science 2013-02-28 Paul Snow

The distinction between strong negation and default negation has been useful in answer set programming. We present an alternative account of strong negation, which lets us view strong negation in terms of the functional stable model…

Artificial Intelligence · Computer Science 2013-12-24 Michael Bartholomew , Joohyung Lee

This study aims to demonstrate the methods for detecting negations in a sentence by uniquely evaluating the lexical structure of the text via word-sense disambiguation. The proposed framework examines all the unique features in the various…

Computation and Language · Computer Science 2025-02-11 Izunna Okpala , Guillermo Romera Rodriguez , Andrea Tapia , Shane Halse , Jess Kropczynski

Negation scope has been annotated in several English and Chinese corpora, and highly accurate models for this task in these languages have been learned from these annotations. Unfortunately, annotations are not available in other languages.…

Computation and Language · Computer Science 2018-10-05 Federico Fancellu , Adam Lopez , Bonnie Webber

In the note we consider an iterative generalisation of the rejection sampling method. In high energy physics, this sampling is frequently used for event generation, i.e. preparation of phase space points distributed according to a matrix…

High Energy Physics - Phenomenology · Physics 2008-07-18 A. Sherstnev

We analyse in this paper the data collected in a set of experiments performed on human subjects on the combination of natural concepts. We investigate the mutual influence of conceptual conjunction and negation by measuring the membership…

Artificial Intelligence · Computer Science 2016-09-09 Diederik Aerts , Sandro Sozzo , Tomas Veloz

In this paper we study the uses and the semantics of non-monotonic negation in probabilistic deductive data bases. Based on the stable semantics for classical logic programming, we introduce the notion of stable formula, functions. We show…

Artificial Intelligence · Computer Science 2013-03-26 Raymond T. Ng , V. S. Subrahmanian

Machine learning models always make a prediction, even when it is likely to be inaccurate. This behavior should be avoided in many decision support applications, where mistakes can have severe consequences. Albeit already studied in 1970,…

Machine Learning · Computer Science 2024-02-22 Kilian Hendrickx , Lorenzo Perini , Dries Van der Plas , Wannes Meert , Jesse Davis

Existing research on negations primarily focuses on entropy and extropy. Recently, new functions such as varentropy and varextropy have been developed, which can be considered as extensions of entropy and extropy. However, the impact of…

Statistics Theory · Mathematics 2025-04-08 Santosh Kumar Chaudhary , Pradeep Kumar Sahu , Nitin Gupta

Ontology-based query answering with existential rules is well understood and implemented for positive queries, in particular conjunctive queries. The situation changes drastically for queries with negation, where there is no agreed-upon…

Logic in Computer Science · Computer Science 2021-12-22 Stefan Ellmauthaler , Markus Krötzsch , Stephan Mennicke

Negative probability has found diverse applications in theoretical physics. Thus, construction of sound and rigorous mathematical foundations for negative probability is important for physics. There are different axiomatizations of…

Probability · Mathematics 2013-06-06 Mark Burgin

Prompt-based methods have gained increasing attention on NLP and shown validity on many downstream tasks. Many works have focused on mining these methods' potential for knowledge extraction, but few explore their ability to make logical…

Computation and Language · Computer Science 2024-05-09 Yitian Li , Jidong Tian , Hao He , Yaohui Jin

Language provides speakers with a rich system of modality for expressing thoughts about events, without being committed to their actual occurrence. Modality is commonly used in the political news domain, where both actual and possible…

Computation and Language · Computer Science 2021-09-21 Sander Bijl de Vroe , Liane Guillou , Miloš Stanojević , Nick McKenna , Mark Steedman

Often the question arises whether $Y$ can be predicted based on $X$ using a certain model. Especially for highly flexible models such as neural networks one may ask whether a seemingly good prediction is actually better than fitting pure…

Methodology · Statistics 2024-04-30 Michał Ciszewski , Jakob Söhl , Ton Leenen , Bart van Trigt , Geurt Jongbloed

Negation is a common everyday phenomena and has been a consistent area of weakness for language models (LMs). Although the Information Retrieval (IR) community has adopted LMs as the backbone of modern IR architectures, there has been…

Information Retrieval · Computer Science 2024-02-28 Orion Weller , Dawn Lawrie , Benjamin Van Durme

There has been a widely held view that visual representations (e.g., photographs and illustrations) do not depict negation, for example, one that can be expressed by a sentence "the train is not coming". This view is empirically challenged…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Yuri Sato , Koji Mineshima , Kazuhiro Ueda