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The Cartographer
Handling Nominals and Inverse Roles using Algebraic Reasoning
October 01, 2018 Β· Declared Dead Β· π Description Logics
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Authors
Humaira Farid, Volker Haarslev
arXiv ID
1810.00916
Category
cs.AI: Artificial Intelligence
Citations
1
Venue
Description Logics
Last Checked
4 months ago
Abstract
This paper presents a novel SHOI tableau calculus which incorporates algebraic reasoning for deciding ontology consistency. Numerical restrictions imposed by nominals, existential and universal 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 performs better on SHOI ontologies than standard tableau methods.
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