Reasoning for ALCQ extended with a flexible meta-modelling hierarchy
  This works is motivated by a real-world case study where it is necessary to
integrate and relate existing ontologies through meta- modelling. For this, we
introduce the Description Logic ALCQM which is obtained from ALCQ by adding
statements that equate individuals to concepts in a knowledge base. In this new
extension, a concept can be an individual of another concept (called
meta-concept) which themselves can be individuals of yet another concept
(called meta meta-concept) and so on. We define a tableau algorithm for
checking consistency of an ontology in ALCQM and prove its correctness.
