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In this work, we enrich a formalism for argumentation by including a formal characterization of features related to the knowledge, in order to capture proper reasoning in legal domains. We add meta-data information to the arguments in the…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , María Laura Cobo , Diego I. Martínez , Antonino Rotolo

The categorical compositional approach to meaning has been successfully applied in natural language processing, outperforming other models in mainstream empirical language processing tasks. We show how this approach can be generalized to…

Logic in Computer Science · Computer Science 2017-10-02 Joe Bolt , Bob Coecke , Fabrizio Genovese , Martha Lewis , Dan Marsden , Robin Piedeleu

Modelling concept representation is a foundational problem in the study of cognition and linguistics. This work builds on the confluence of conceptual tools from G\"ardenfors semantic spaces, categorical compositional linguistics, and…

Computation and Language · Computer Science 2020-08-07 James Hefford , Vincent Wang , Matthew Wilson

Relational concept analysis (RCA) is an extension of formal concept analysis allowing to deal with several related contexts simultaneously. It has been designed for learning description logic theories from data and used within various…

Artificial Intelligence · Computer Science 2025-07-10 Jérôme Euzenat

Manual ontology construction takes time, resources, and domain specialists. Supporting a component of this process for automation or semi-automation would be good. This project and dissertation provide a Formal Concept Analysis and WordNet…

Computation and Language · Computer Science 2023-11-28 Bryar A. Hassan

Based on rectangle theory of formal concept and set covering theory, the concept reduction preserving binary relations is investigated in this paper. It is known that there are three types of formal concepts: core concepts, relative…

Artificial Intelligence · Computer Science 2021-11-02 Jianqin Zhou , Sichun Yang , Xifeng Wang , Wanquan Liu

Lattices are a commonly used structure for the representation and analysis of relational and ontological knowledge. In particular, the analysis of these requires a decomposition of a large and high-dimensional lattice into a set of…

Artificial Intelligence · Computer Science 2023-12-29 Johannes Hirth , Viktoria Horn , Gerd Stumme , Tom Hanika

Structural operational semantics can be studied at the general level of distributive laws of syntax over behaviour. This yields specification formats for well-behaved algebraic operations on final coalgebras, which are a domain for the…

Logic in Computer Science · Computer Science 2012-08-15 Marcello M. Bonsangue , Stefan Milius , Jurriaan Rot

Most definitions of ontology, viewed as a "specification of a conceptualization", agree on the fact that if an ontology can take different forms, it necessarily includes a vocabulary of terms and some specification of their meaning in…

Artificial Intelligence · Computer Science 2008-01-09 Christophe Roche

One of the highlights of recent informal epistemology is its growing theoretical emphasis upon various notions of context. The present paper addresses the connections between knowledge and context within a formal approach. To this end, a…

Logic · Mathematics 2009-01-13 Manuel Rebuschi , Franck Lihoreau

Formal Concept Analysis (FCA) begins from a context, given as a binary relation between some objects and some attributes, and derives a lattice of concepts, where each concept is given as a set of objects and a set of attributes, such that…

Machine Learning · Computer Science 2023-11-03 Dusko Pavlovic

We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of concept combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC TR, whose semantics is based on the…

Artificial Intelligence · Computer Science 2019-08-13 Antonio Lieto , Gian Luca Pozzato

This is an account of the characterization of database dependencies with Formal Concept Analysis.

Databases · Computer Science 2024-03-22 Jaume Baixeries

We have previously introduced role logic as a notation for describing properties of relational structures in shape analysis, databases and knowledge bases. A natural fragment of role logic corresponds to two-variable logic with counting and…

Programming Languages · Computer Science 2007-05-23 Viktor Kuncak , Martin Rinard

The objectives of this research work which is intimately related to pattern discovery and management are threefold: (i) handle the problem of pattern manipulation by defining operations on patterns, (ii) study the problem of enriching and…

Databases · Computer Science 2009-02-25 Rokia Missaoui , Leonard Kwuida , Mohamed Quafafou , Jean Vaillancourt

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

For argumentation mining, there are several sub-tasks such as argumentation component type classification, relation classification. Existing research tends to solve such sub-tasks separately, but ignore the close relation between them. In…

Computation and Language · Computer Science 2017-01-20 Zhongyu Wei , Chen Li , Yang Liu

In this article we analyse the notion of knowledge role. First of all, we present how the relationship between problem solving methods and domain models is tackled in different approaches. We concentrate on how they cope with this issue in…

Artificial Intelligence · Computer Science 2023-02-21 Chantal Reynaud , Nathalie Aussenac-Gilles , Pierre Tchounikine , Franckie Trichet

This paper combines two studies: a topological semantics for epistemic notions and abstract argumentation theory. In our combined setting, we use a topological semantics to represent the structure of an agent's collection of evidence, and…

Artificial Intelligence · Computer Science 2017-07-28 Chenwei Shi , Sonja Smets , Fernando R. Velázquez-Quesada

We establish a novel connection between two research areas in non-classical logics which have been developed independently of each other so far: on the one hand, input/output logic, introduced within a research program developing logical…