A Distance-based Paraconsistent Semantics for DL-Lite

TL;DR

This paper introduces a novel distance-based paraconsistent semantics for DL-Lite that enables meaningful reasoning despite inconsistencies in knowledge bases, enhancing non-monotonic reasoning capabilities.

Contribution

It proposes a new semantics for DL-Lite that handles inconsistencies using distance measures, offering a rational approach to reasoning in inconsistent knowledge bases.

Findings

Provides a formal semantics for inconsistency handling in DL-Lite

Demonstrates logical properties of the new entailment relation

Shows advantages in non-monotonic reasoning for DL-Lite

Abstract

DL-Lite is an important family of description logics. Recently, there is an increasing interest in handling inconsistency in DL-Lite as the constraint imposed by a TBox can be easily violated by assertions in ABox in DL-Lite. In this paper, we present a distance-based paraconsistent semantics based on the notion of feature in DL-Lite, which provides a novel way to rationally draw meaningful conclusions even from an inconsistent knowledge base. Finally, we investigate several important logical properties of this entailment relation based on the new semantics and show its promising advantages in non-monotonic reasoning for DL-Lite.