Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies

Tobias Kaminski, Matthias Knorr, João Leite

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Description Logic (DL) based ontologies and nonmonotonic rules provide complementary features whose combination is crucial in many applications. In hybrid knowledge bases (KBs), which combine both formalisms, for large real-world applications, often integrating knowledge originating from different sources, inconsistencies can easily occur. These commonly trivialize standard reasoning and prevent us from drawing any meaningful conclusions. When restoring consistency by changing the KB is not possible, paraconsistent reasoning offers an alternative by allowing us to obtain meaningful conclusions from its consistent part. In this paper, we address the problem of efficiently obtaining meaningful conclusions from (possibly inconsistent) hybrid KBs. To this end, we define two paraconsistent semantics for hybrid KBs which, beyond their differentiating properties, are faithful to well-known paraconsistent semantics as well as the non-paraconsistent logic they extend, and tractable if reasoning in the DL component is.

Original languageEnglish
Title of host publicationProceedings of the Joint Ontology Workshops 2015 (JOWO 2015) - Episode 1: The Argentine Winter of Ontology co-located with the 24th International Joint Conference on Artificial Intelligence (IJCAI 2015)
EditorsL. Garcia, T. Meyer, S. Borgo, S. Benferhat, E. Ferme, D. Porello, K. Baclawski, A. Krisnadhi, P. Klinov, T. Hahmann, O. Papini, M. Mugnier, R. Wassermann, O. Kutz
Publication statusPublished - 2015
EventJoint Ontology Workshops (JOWO 2015) - Buenos Aires, Argentina
Duration: 25 Jul 201527 Jul 2015

Publication series

NameCEUR Workshop Proceedings
ISSN (Print)1613-0073


ConferenceJoint Ontology Workshops (JOWO 2015)
Abbreviated titleJOWO 2015
CityBuenos Aires


  • Artificial intelligence
  • Data description
  • Reconfigurable hardware
  • Semantics


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