- title
- Reasoning in ELH w.r.t. General Concept Inclusion Axioms
- Please use the following URL when quoting:
- https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa2-793202
- Series
- LTCS-Report
- multivolume_volume0
- 04-03
- publication_date
- 2004
- doi
- https://doi.org/10.25368/2022.140
- Abstract (EN)
- In the area of Description Logic (DL) based knowledge representation, research on reasoning w.r.t. general terminologies has mainly focused on very expressive DLs. Recently, though, it was shown for the DL EL, providing only the constructors conjunction and existential restriction, that the subsumption problem w.r.t. cyclic terminologies can be decided in polynomial time, a surprisingly low upper bound. In this paper, we show that even admitting general concept inclusion (GCI) axioms and role hierarchies in EL terminologies preserves the polynomial time upper bound for subsumption. We also show that subsumption becomes co-NP hard when adding one of the constructors number restriction, disjunction, and `allsome', an operator used in the DL k-rep. An interesting implication of the first result is that reasoning over the widely used medical terminology snomed is possible in polynomial time.
- Keywords (DE)
- Subsumtion, Wissensrepräsentation, Beschreibungslogik, Axiom
- Keywords (EN)
- subsumption, Knowledge representation and reasoning, description logic, axiom
- Classification (DDC)
- 004
- Classification (RVK)
- ST 136
- university_publisher
- Technische Universität Dresden, Dresden
- version
- angenommene Version / Postprint / Autorenversion
- URN Qucosa
- urn:nbn:de:bsz:14-qucosa2-793202
- Qucosa date of publication
- 31.05.2022
- Document type
- report
- Document language
- English
- licence
CC BY 4.0