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Formal Concept Analysis (FCA) is a mathematical theory based on the formalization of the notions of concept and concept hierarchies. It has been successfully applied to several Computer Science fields such as data mining,software…

Artificial Intelligence · Computer Science 2009-05-29 Leonard Kwuida , Rokia Missaoui , Lahcen Boumedjout , Jean Vaillancourt

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

Databases · Computer Science 2024-03-22 Jaume Baixeries

This paper describes a new technique, called "knowledge patterns", for helping construct axiom-rich, formal ontologies, based on identifying and explicitly representing recurring patterns of knowledge (theory schemata) in the ontology, and…

Artificial Intelligence · Computer Science 2020-05-12 Peter Clark , John Thompson , Bruce Porter

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

Formal Semantics and Distributional Semantics are two important semantic frameworks in Natural Language Processing (NLP). Cognitive Semantics belongs to the movement of Cognitive Linguistics, which is based on contemporary cognitive…

Computation and Language · Computer Science 2017-09-26 Kun Xing

Traditional treatments of formal logic provide: 1. A syntax for formulas. 2. An inference relation between sets of formulas. 3. A rule for assigning meaning to formulas (semantics) that is sound with respect to the inference relation. First…

Logic · Mathematics 2016-09-06 Atish Bagchi , Charles Wells

Understanding large ontologies is still an issue, and has an impact on many ontology engineering tasks. We describe a novel method for identifying and extracting conceptual components from domain ontologies, which are used to understand and…

Artificial Intelligence · Computer Science 2021-11-05 Luigi Asprino , Valentina Anita Carriero , Valentina Presutti

Understanding large, structured documents like scholarly articles, requests for proposals or business reports is a complex and difficult task. It involves discovering a document's overall purpose and subject(s), understanding the function…

Computation and Language · Computer Science 2018-07-27 Muhammad Mahbubur Rahman , Tim Finin

I discuss (ontologies_and_ontological_knowledge_bases / formal_methods_and_theories) duality and its category theory extensions as a step toward a solution to Knowledge-Based Systems Theory. In particular I focus on the example of the…

Artificial Intelligence · Computer Science 2009-06-10 Nikolaj Glazunov

Formal Concept Analysis has proven to be an effective method of restructuring complete lattices and various algebraic domains. In this paper, the notions of attribute continuous formal context and continuous formal concept are introduced by…

Logic in Computer Science · Computer Science 2021-03-23 Longchun Wang Lankun Guo , Qingguo Li

Ontologies can be a powerful tool for structuring knowledge, and they are currently the subject of extensive research. Updating the contents of an ontology or improving its interoperability with other ontologies is an important but…

Artificial Intelligence · Computer Science 2014-10-21 Paolo Pareti , Ewan Klein

We present a general form of attribute exploration, a knowledge completion algorithm from Formal Concept Analysis. The aim of our presentation is not only to extend the applicability of attribute exploration by a general description. It may…

Logic in Computer Science · Computer Science 2012-02-23 Daniel Borchmann

Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results…

Logic in Computer Science · Computer Science 2025-10-01 Luke Bayzid , Alexandre Madeira , Manuel A. Martins

In this paper we present a preliminary logic-based evaluation of the integration of post-composed phenotypic descriptions with domain ontologies. The evaluation has been performed using a description logic reasoner together with scalable…

Artificial Intelligence · Computer Science 2010-12-09 Ernesto Jimenez-Ruiz , Bernardo Cuenca Grau , Rafael Berlanga , Dietrich Rebholz-Schuhmann

Labeled examples (i.e., positive and negative examples) are an attractive medium for communicating complex concepts. They are useful for deriving concept expressions (such as in concept learning, interactive concept specification, and…

Logic in Computer Science · Computer Science 2024-12-24 Balder ten Cate , Raoul Koudijs , Ana Ozaki

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

Concept-based explainability methods provide insight into deep learning systems by constructing explanations using human-understandable concepts. While the literature on human reasoning demonstrates that we exploit relationships between…

Machine Learning · Computer Science 2024-05-29 Naveen Raman , Mateo Espinosa Zarlenga , Mateja Jamnik

Formal concepts and closed itemsets proved to be of big importance for knowledge discovery, both as a tool for concise representation of association rules and a tool for clustering and constructing domain taxonomies and ontologies.…

Artificial Intelligence · Computer Science 2017-04-21 Sergei O. Kuznetsov , Tatiana Makhalova

We are born with the ability to learn concepts by comparing diverse observations. This helps us to understand the new world in a compositional manner and facilitates extrapolation, as objects naturally consist of multiple concepts. In this…

Machine Learning · Computer Science 2025-10-02 Yujia Zheng , Shaoan Xie , Kun Zhang

Definite descriptions are phrases of the form 'the $x$ such that $\varphi$', used to refer to single entities in a context. They are often more meaningful to users than individual names alone, in particular when modelling or querying data…

Logic in Computer Science · Computer Science 2021-06-30 Alessandro Artale , Andrea Mazzullo , Ana Ozaki , Frank Wolter