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Given the large variety of existing logical formalisms it is of utmost importance to select the most adequate one for a specific purpose, e.g. for representing the knowledge relevant for a particular application or for using the formalism…

Artificial Intelligence · Computer Science 2020-03-04 Ringo Baumann

Generating a huge number of association rules reduces their utility in the decision making process, done by domain experts. In this context, based on the theory of Formal Concept Analysis, we propose to extend the notion of Formal Concept…

Databases · Computer Science 2012-09-19 Wafa Tebourski Ourida Ben Boubaker Saidi

Our understanding about things is conceptual. By stating that we reason about objects, it is in fact not the objects but concepts referring to them that we manipulate. Now, so long just as we acknowledge infinitely extending notions such as…

Artificial Intelligence · Computer Science 2015-04-21 Ryuta Arisaka

The present study is aimed at analysing the benefits of an ontological approach in Functional Structural Plant Modelling. The ontological approach has been used at two levels, to refine the conceptual modelling approach, and to define the…

Applied Physics · Physics 2022-08-17 Giuliano Vitali

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. In this…

Artificial Intelligence · Computer Science 2018-11-15 Lucas Bechberger , Kai-Uwe Kühnberger

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 paper offers an approach to extensible knowledge representation and reasoning for a family of formalisms known as Description Logics. The approach is based on the notion of adding new concept constructors, and includes a heuristic…

Artificial Intelligence · Computer Science 2011-05-30 A. Borgida

We argue that logical semantics might have faltered due to its failure in distinguishing between two fundamentally very different types of concepts: ontological concepts, that should be types in a strongly-typed ontology, and logical…

Artificial Intelligence · Computer Science 2018-08-10 Walid S. Saba

Lexical semantics theories differ in advocating that the meaning of words is represented as an inference graph, a feature mapping or a vector space, thus raising the question: is it the case that one of these approaches is superior to the…

Computation and Language · Computer Science 2020-11-17 António Branco , João Rodrigues , Małgorzata Salawa , Ruben Branco , Chakaveh Saedi

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

Ontology is a popular method for knowledge representation in different domains, including the legal domain, and description logics (DL) is commonly used as its description language. To handle reasoning based on inconsistent DL-based legal…

Artificial Intelligence · Computer Science 2022-09-20 Zhe Yu , Yiwei Lu

In this note we suggest that difficulties encountered in natural language semantics are, for the most part, due to the use of mere symbol manipulation systems that are devoid of any content. In such systems, where there is hardly any link…

Artificial Intelligence · Computer Science 2007-12-13 Walid S. Saba

The theory of distributed conceptual structures, as outlined in this paper, is concerned with the distribution and conception of knowledge. It rests upon two related theories, Information Flow and Formal Concept Analysis, which it seeks to…

Logic in Computer Science · Computer Science 2018-10-12 Robert E. Kent

The study of Description Logics have been historically mostly focused on features that can be translated to decidable fragments of first-order logic. In this paper, we leave this restriction behind and look for useful and decidable…

Logic in Computer Science · Computer Science 2023-08-30 Joshua Hirschbrunn , Yevgeny Kazakov

In context of efforts of composing category-theoretic and logical methods in the area of knowledge representation we propose the notion of conceptory. We consider intersection/union and other constructions in conceptories as expressive…

Logic in Computer Science · Computer Science 2010-08-10 Osman Bineev

Category theory gives a mathematical characterization of naturality but not of canonicity. The purpose of this paper is to develop the logical theory of canonical maps based on the broader demonstration that the dual notions of elements &…

Category Theory · Mathematics 2024-10-07 David Ellerman

Ontologies often require knowledge representation on multiple levels of abstraction, but description logics (DLs) are not well-equipped for supporting this. We propose an extension of DLs in which abstraction levels are first-class citizens…

Artificial Intelligence · Computer Science 2023-10-23 Carsten Lutz , Lukas Schulze

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

The construction of an ontology of scientific knowledge objects, presented here, is part of the development of an approach oriented towards the visualization of scientific knowledge. It is motivated by the fact that the concepts that are…

Artificial Intelligence · Computer Science 2021-07-15 Vincenzo Daponte , Gilles Falquet

In this chapter tools and techniques from the mathematical theory of formal concept analysis are applied to hypertext systems in general, and the World Wide Web in particular. Various processes for the conceptual structuring of hypertext…

Artificial Intelligence · Computer Science 2018-10-18 Robert E. Kent , Christian Neuss