Encyclopedia of Social Network Analysis and Mining

Living Edition
| Editors: Reda Alhajj, Jon Rokne

Description Logics

  • Adila KrisnadhiEmail author
  • Pascal Hitzler
Living reference work entry
First Online:
DOI: https://doi.org/10.1007/978-1-4614-7163-9_108-1
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Synonyms

Concept languages; Terminological logics; Terminological systems

Glossary

(Logic-Based) Semantics

A way to interpret any statement in a language; logic-based semantics interprets such a statement using operations in mathematical logic.

ABox

A set of axioms constraining particular individuals.

Axiom

A statement in a DL that asserts certain constraints that have to be satisfied by some concepts, roles and individuals.

Class

Synonymous with concept; usually used (instead of concept) in the context of ontology engineering literature.

Classification

A reasoning problem that, given a collection of concepts, corresponds to find the subsumption relationship between any two concepts; the answer of this problem is a subsumption hierarchy among the concepts.

Concept

A logical expression in a DL corresponding to sets of individuals.

DLs

Description Logics; a family of logic-based KR languages for representing knowledge through assertions about concepts, individuals, and relationships...

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Notes

Acknowledgements

Both authors acknowledge the support of the National Science Foundation (NSF) project “TROn – Tractable Reasoning with Ontologies” under the award 1017225 III: Small.

The first author acknowledges the support of Fulbright Indonesia Presidential Scholarship PhD Grant 2010–2013.

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Recommended Reading

  1. [Baader et al 2007] is the standard text for DLs; covers almost all major results in DLs, written in semi-textbook style; requires some basics in mathematical logicGoogle Scholar
  2. [Baader et al 2017] is a principled and thorough textbook formally introducing description logics, including mathematical proofs of properties and algorithm correctnessGoogle Scholar
  3. [Hitzler et al 2010] is a introductory level textbook in semantic web technologies which also covers significant amount of DLs material, especially in the context of their application in the Semantic WebGoogle Scholar
  4. [Krötzsch et al 2012] is a text intended as a very first reading on DLs without requiring formal logic backgroundGoogle Scholar

Copyright information

© Springer Science+Business Media LLC 2017

Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringWright State UniversityDaytonUSA
  2. 2.Faculty of Computer ScienceUniversitas IndonesiaDepokIndonesia

Section editors and affiliations

  • Thomas Gottron
    • 1
  • Stefan Schlobach
    • 2
  • Steffen Staab
    • 3
  1. 1.Institute for Web Science and TechnologiesUniversität Koblenz-LandauKoblenzGermany
  2. 2.YUAmsterdamThe Netherlands
  3. 3.Institute for Web Science and TechnologiesUniversität Koblenz-LandauKoblenzGermany