Handling Nominals, Inverse Roles and Number Restrictions using Algebraic Reasoning

Handling Nominals, Inverse Roles and Number Restrictions using Algebraic Reasoning | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 25 June 2025 V1 Latest version Share on Handling Nominals, Inverse Roles and Number Restrictions using Algebraic Reasoning Authors : Humaira Farid 0009-0006-7353-0362 [email protected] and Volker Haarslev Authors Info & Affiliations https://doi.org/10.22541/au.175086567.75298153/v1 152 views 98 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper presents a novel SHOIQ tableau calculus which incorporates algebraic reasoning for deciding ontology consistency. Numerical restrictions imposed by nominals and qualified number restrictions are encoded into a set of linear inequalities. Column generation and branch-and-price algorithms are used to solve these inequalities. Our preliminary experiments indicate that this calculus is more stable and often performs better on SHOIQ ontologies than standard tableau methods. Supplementary Material File (journal_paper-ci.pdf) Download 1.07 MB Information & Authors Information Version history V1 Version 1 25 June 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords algebraic reasoning description logic knowledge representation Authors Affiliations Humaira Farid 0009-0006-7353-0362 [email protected] Concordia University Gina Cody School of Engineering and Computer Science View all articles by this author Volker Haarslev Concordia University Gina Cody School of Engineering and Computer Science View all articles by this author Metrics & Citations Metrics Article Usage 152 views 98 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Humaira Farid, Volker Haarslev. Handling Nominals, Inverse Roles and Number Restrictions using Algebraic Reasoning. Authorea . 25 June 2025. DOI: https://doi.org/10.22541/au.175086567.75298153/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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