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.

翻译：我们正在实现一个基于 KE-tableau 的推理器，用于分层初等集合论中可判定片段所表达的描述逻辑 $\mathcal{DL}\langle \mathsf{4LQS^{R,\!\times}}\rangle(\mathbf{D})$（简称 $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$）。该推理器检查以集合论术语表示的 $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$ 知识库（KB）的一致性。它使用 \textsf{C++} 实现，并支持序列化为 OWL/XML 格式的 $\mathcal{DL}_{\mathbf{D}}^{4,\!\times}$ 知识库。据我们所知，这是首次尝试为通过集合论片段表示的描述逻辑实现用于一致性检查的推理器，该推理器还可对标准 OWL 本体进行分类。