A C++ reasoner for the description logic $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$ (Extended Version)

TL;DR

This paper introduces a C++ implementation of a reasoner for a specific description logic fragment, capable of checking knowledge base consistency and classifying OWL ontologies, based on set-theoretic representations.

Contribution

It presents the first reasoner for a description logic expressed in a set-theoretic fragment that supports OWL/XML serialization and ontology classification.

Findings

First implementation of a reasoner for $ ext{DL}_{ ext{D}}^{4, imes}$

Supports OWL/XML format for knowledge bases

Enables classification of standard OWL ontologies

Abstract

We present an ongoing implementation of a KE-tableau based reasoner for a decidable fragment of stratified elementary set theory expressing the description logic $\mathcal{DL}\langle \mathsf{4LQS^{R,\!\times}}\rangle(\mathbf{D})$ (shortly $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$). The reasoner checks the consistency of $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$-knowledge bases (KBs) represented in set-theoretic terms. It is implemented in \textsf{C++} and supports $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$-KBs serialized in the OWL/XML format. To the best of our knowledge, this is the first attempt to implement a reasoner for the consistency checking of a description logic represented via a fragment of set theory that can also classify standard OWL ontologies.