Cheap Boolean Role Constructors for Description Logics

TitleCheap Boolean Role Constructors for Description Logics
Publication TypeConference Paper
Year of Publication2008
AuthorsSebastian Rudolph, Markus Krotzsch, Pascal Hitzler
Conference Name 11th European Conference on Logics in Artificial Intelligence (JELIA)
Pagination362-374
Date Published09/2008
Conference LocationDresden, Germany
Abstract

We investigate the possibility of incorporating Boolean role constructors on simple roles into some of today's most popular description logics, focussing on cases where those extensions do not increase complexity of reasoning. We show that the expressive DLs SHOIQ and SROIQ, serving as the logical underpinning of OWL and the forthcoming OWL 2, can accommodate arbitrary Boolean expressions. The prominent OWL-fragment SHIQ can be safely extended by safe role expressions, and the tractable fragments EL++ and DLP retain tractability if extended by conjunction on roles, where in the case of DLP the restriction on role simplicity can even be discarded.

Full Text

Sebastian Rudolph, Markus Krotzsch, Pascal Hitzler, 'Cheap Boolean Role Constructors for Description Logics,' 11th European Conference on Logics in Artificial Intelligence (JELIA), September 2008, pp. 362-374.