Description Logics with Concrete Domains—A Survey

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Description Logics with Concrete Domains—A Survey

Carsten LutzCarsten Lutz
Carsten Lutz
Description Logics with Concrete Domains—A Survey
Advances in Modal Logics Volume 4, 2003. World Scientific Publishing Co. Pte. Ltd.
  • KurzfassungAbstract
    Description logics (DLs) are a family of logical formalisms that have initially been designed for the representation of conceptual knowledge in artificial intelligence and are closely related to modal logics. In the last two decades, DLs have been successfully applied in a wide range of interesting application areas. In most of these applications, it is important to equip DLs with expressive means that allow to describe ``concrete qualities of real-world objects such as their weight, temperature, and spatial extension. The standard approach is to augment description logics with so-called concrete domains, which consist of a set (say, the rational numbers), and a set of n-ary predicates with a fixed extension over this set. The ``interface between the DL and the concrete domain is then provided by a new logical constructor that has, to the best of our knowledge, no counterpart in modal logics. In this paper, we give an overview over description logics with concrete domains and summarize decidability and complexity results from the literature.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@inproceedings{ Lutz-AiML4,
  author = {C. {Lutz}},
  booktitle = {Advances in Modal Logics Volume 4},
  publisher = {World Scientific Publishing Co.\ Pte.\ Ltd.},
  title = {Description Logics with Concrete Domains---A Survey},
  year = {2003},
}