On conjunctive query answering in EL

Riccardo Rosati.
In Proceedings of the 2007 International Workshop on Description Logic (DL 2007), CEUR Electronic Workshop Proceedings, 2007.

 

Abstract:

We study conjunctive query answering in the description logics of the EL family, and present the following results: (i) we define a technique for answering unions of conjunctive queries in EL (and in its extension ELH), based on a rewriting of the query in terms of a recursive Datalog query; (ii) the above technique allows us to prove that answering unions of conjunctive queries in EL and ELH is PTIME-complete with respect to knowledge base complexity (i.e., with respect to the size of the knowledge base) and is NP-complete with respect to combined complexity (i.e., with respect to the size of both the knowledge base and the query); (iii) conversely, we prove that answering conjunctive queries is undecidable in EL+ and EL++, two well-known extensions of EL.

Bibtex entry:

@String{DL-07 = "Proceedings of the 2007 International Workshop on Description Logic (DL~2007)"}

@Inproceedings{Rosa07c,
author = "Riccardo Rosati",
title = "On conjunctive query answering in {EL}",
booktitle = DL-07,
publisher = "CEUR Electronic Workshop Proceedings",
year = 2007,
}