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The categorical compositional distributional model of meaning gives the composition of words into phrases and sentences pride of place. However, it has so far lacked a model of logical negation. This paper gives some steps towards providing…

Computation and Language · Computer Science 2020-05-12 Martha Lewis

Negation in natural language does not follow Boolean logic and is therefore inherently difficult to model. In particular, it takes into account the broader understanding of what is being negated. In previous work, we proposed a framework…

Computation and Language · Computer Science 2022-11-04 Razin A. Shaikh , Lia Yeh , Benjamin Rodatz , Bob Coecke

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

Categorical compositional distributional semantics is an approach to modelling language that combines the success of vector-based models of meaning with the compositional power of formal semantics. However, this approach was developed…

Computation and Language · Computer Science 2024-01-17 Martha Lewis

The development of compositional distributional models of semantics reconciling the empirical aspects of distributional semantics with the compositional aspects of formal semantics is a popular topic in the contemporary literature. This…

Logic · Mathematics 2013-04-30 Edward Grefenstette

The paper relates two variants of semantic models for natural language, logical functional models and compositional distributional vector space models, by transferring the logic and reasoning from the logical to the distributional models.…

Logic in Computer Science · Computer Science 2014-12-31 Anne Preller

Negation is an important perspective of knowledge representation. Existing negation methods are mainly applied in probability theory, evidence theory and complex evidence theory. As a generalization of evidence theory, random permutation…

Artificial Intelligence · Computer Science 2024-03-14 Yongchuan Tang , Rongfei Li

Joint audio-text models are widely used for music retrieval, yet they struggle with semantic phenomena such as negation. Negation is fundamental for distinguishing the absence (or presence) of musical elements (e.g., "with vocals" vs.…

Sound · Computer Science 2026-01-21 Yannis Vasilakis , Rachel Bittner , Johan Pauwels

Non-classical negations may fail to be contradictory-forming operators in more than one way, and they often fail also to respect fundamental meta-logical properties such as the replacement property. Such drawbacks are witnessed by intricate…

Logic in Computer Science · Computer Science 2017-07-26 Ori Lahav , João Marcos , Yoni Zohar

We propose a framework to model an operational conversational negation by applying worldly context (prior knowledge) to logical negation in compositional distributional semantics. Given a word, our framework can create its negation that is…

Computation and Language · Computer Science 2021-05-17 Benjamin Rodatz , Razin A. Shaikh , Lia Yeh

Natural language semantics has recently sought to combine the complementary strengths of formal and distributional approaches to meaning. More specifically, proposals have been put forward to augment formal semantic machinery with…

Computation and Language · Computer Science 2021-03-03 Noortje J. Venhuizen , Petra Hendriks , Matthew W. Crocker , Harm Brouwer

We look at non-classical negations and their corresponding adjustment connectives from a modal viewpoint, over complete distributive lattices, and apply a very general mechanism in order to offer adequate analytic proof systems to logics…

Logic in Computer Science · Computer Science 2016-06-24 Ori Lahav , João Marcos , Yoni Zohar

We characterise non-distributive positive logic as the fragment of a single-sorted first-order language that is preserved by a new notion of simulation called a meet-simulation. Meet-simulations distinguish themselves from simulations…

Logic · Mathematics 2023-02-07 Jim de Groot

Agent-based models and signalling games are useful tools with which to study the emergence of linguistic communication in a tractable setting. These techniques have been used to study the compositional property of natural languages, but…

Multiagent Systems · Computer Science 2020-12-09 Graham Todd , Shane Steinert-Threlkeld , Christopher Potts

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

This paper proves a homomorphism between extensional formal semantics and distributional vector space semantics, demonstrating structural compatibility. Formal semantics models meaning as reference, using logical structures to map…

Logic · Mathematics 2026-01-01 Daniel Quigley

The majority of work in targeted sentiment analysis has concentrated on finding better methods to improve the overall results. Within this paper we show that these models are not robust to linguistic phenomena, specifically negation and…

Computation and Language · Computer Science 2021-04-01 Andrew Moore , Jeremy Barnes

We present a novel technique for learning semantic representations, which extends the distributional hypothesis to multilingual data and joint-space embeddings. Our models leverage parallel data and learn to strongly align the embeddings of…

Computation and Language · Computer Science 2014-04-21 Karl Moritz Hermann , Phil Blunsom

Despite rapid adoption of autoregressive large language models, smaller text encoders still play an important role in text understanding tasks that require rich contextualized representations. Negation is an important semantic function that…

Computation and Language · Computer Science 2025-07-18 Thinh Hung Truong , Karin Verspoor , Trevor Cohn , Timothy Baldwin

Negation, a linguistic construct conveying absence, denial, or contradiction, poses significant challenges for multilingual multimodal foundation models. These models excel in tasks like machine translation, text-guided generation, image…

Computation and Language · Computer Science 2025-02-17 Mayank Vatsa , Aparna Bharati , Surbhi Mittal , Richa Singh
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