Logic Graphs for ALC, SHIF and SHOIN Description Logics

Abstract In this article, we review ability of state-of-the-art ontology visualization tools for logical expressions. Then we propose an ontology visualization method with the goal of developing a complete and convenient visualization method, named logical graphs. The method is intended to represent...

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Main Authors: Nguyen Ngoc Than, Ildar Baimuratov
Format: Article
Language:English
Published: FRUCT 2020-09-01
Series:Proceedings of the XXth Conference of Open Innovations Association FRUCT
Subjects:
Online Access:https://www.fruct.org/publications/acm27/files/Tha.pdf
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author Nguyen Ngoc Than
Ildar Baimuratov
author_facet Nguyen Ngoc Than
Ildar Baimuratov
author_sort Nguyen Ngoc Than
collection DOAJ
description Abstract In this article, we review ability of state-of-the-art ontology visualization tools for logical expressions. Then we propose an ontology visualization method with the goal of developing a complete and convenient visualization method, named logical graphs. The method is intended to represent the semantics of ontological structures, formulated as logical axioms of description, and it must use existing visualization methods from mathematical theories, such as Ch. S. Pierces Existential graphs, category theory, and graph theory. The proposed system is sufficient to describe the logic of ALC, SHIF, and SHOIN and visualize the OWL-Lite and OWL-DL ontologies to help casual users easily understand the ontology, as well as analyze data annotations and other tasks.
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spelling doaj.art-fe01269f45214155a4113b3e227fd8c92022-12-22T02:29:17ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372020-09-0127238638910.5281/zenodo.4026512Logic Graphs for ALC, SHIF and SHOIN Description LogicsNguyen Ngoc Than0Ildar Baimuratov1ITMO university, RussiaITMO university, RussiaAbstract In this article, we review ability of state-of-the-art ontology visualization tools for logical expressions. Then we propose an ontology visualization method with the goal of developing a complete and convenient visualization method, named logical graphs. The method is intended to represent the semantics of ontological structures, formulated as logical axioms of description, and it must use existing visualization methods from mathematical theories, such as Ch. S. Pierces Existential graphs, category theory, and graph theory. The proposed system is sufficient to describe the logic of ALC, SHIF, and SHOIN and visualize the OWL-Lite and OWL-DL ontologies to help casual users easily understand the ontology, as well as analyze data annotations and other tasks.https://www.fruct.org/publications/acm27/files/Tha.pdfvisualizationontologydescription logicexistential graphcategory theorygraph theory
spellingShingle Nguyen Ngoc Than
Ildar Baimuratov
Logic Graphs for ALC, SHIF and SHOIN Description Logics
Proceedings of the XXth Conference of Open Innovations Association FRUCT
visualization
ontology
description logic
existential graph
category theory
graph theory
title Logic Graphs for ALC, SHIF and SHOIN Description Logics
title_full Logic Graphs for ALC, SHIF and SHOIN Description Logics
title_fullStr Logic Graphs for ALC, SHIF and SHOIN Description Logics
title_full_unstemmed Logic Graphs for ALC, SHIF and SHOIN Description Logics
title_short Logic Graphs for ALC, SHIF and SHOIN Description Logics
title_sort logic graphs for alc shif and shoin description logics
topic visualization
ontology
description logic
existential graph
category theory
graph theory
url https://www.fruct.org/publications/acm27/files/Tha.pdf
work_keys_str_mv AT nguyenngocthan logicgraphsforalcshifandshoindescriptionlogics
AT ildarbaimuratov logicgraphsforalcshifandshoindescriptionlogics