Handling Nominals and Inverse Roles using Algebraic Reasoning

Humaira Farid; Volker Haarslev

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arXiv · 1810.00916

Handling Nominals and Inverse Roles using Algebraic Reasoning

Humaira Farid·Volker Haarslev

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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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Humaira Farid, Volker Haarslev. 2018-10-01. Handling Nominals and Inverse Roles using Algebraic Reasoning. https://arxiv.org/abs/1810.00916

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