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 contribution

Abstract

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
PublisherCEUR-WS.org
Publication statusPublished - 2015
EventJoint Ontology Workshops (JOWO 2015) - Buenos Aires, Argentina
Duration: 25 Jul 201527 Jul 2015

Publication series

NameCEUR Workshop Proceedings
PublisherCEUR-WS
Volume1517
ISSN (Print)1613-0073

Conference

ConferenceJoint Ontology Workshops (JOWO 2015)
Abbreviated titleJOWO 2015
CountryArgentina
CityBuenos Aires
Period25/07/1527/07/15

Fingerprint

Ontology
Semantics

Keywords

  • Artificial intelligence
  • Data description
  • Reconfigurable hardware
  • Semantics

Cite this

Kaminski, T., Knorr, M., & Leite, J. (2015). Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies. In L. 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 (Eds.), Proceedings 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) (CEUR Workshop Proceedings; Vol. 1517). CEUR-WS.org.
Kaminski, Tobias ; Knorr, Matthias ; Leite, João. / Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies. Proceedings 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). editor / L. 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. CEUR-WS.org, 2015. (CEUR Workshop Proceedings).
@inproceedings{c7d59d870a4b4d1eadc123ffb6a80ba2,
title = "Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies",
abstract = "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.",
keywords = "Artificial intelligence , Data description , Reconfigurable hardware , Semantics",
author = "Tobias Kaminski and Matthias Knorr and Jo{\~a}o Leite",
note = "Sem PDF.",
year = "2015",
language = "English",
series = "CEUR Workshop Proceedings",
publisher = "CEUR-WS.org",
editor = "L. Garcia and T. Meyer and S. Borgo and S. Benferhat and E. Ferme and D. Porello and K. Baclawski and A. Krisnadhi and P. Klinov and T. Hahmann and O. Papini and M. Mugnier and R. Wassermann and O. Kutz",
booktitle = "Proceedings 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)",

}

Kaminski, T, Knorr, M & Leite, J 2015, Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies. in L 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 (eds), Proceedings 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). CEUR Workshop Proceedings, vol. 1517, CEUR-WS.org, Joint Ontology Workshops (JOWO 2015), Buenos Aires, Argentina, 25/07/15.

Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies. / Kaminski, Tobias; Knorr, Matthias; Leite, João.

Proceedings 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). ed. / L. 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. CEUR-WS.org, 2015. (CEUR Workshop Proceedings; Vol. 1517).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies

AU - Kaminski, Tobias

AU - Knorr, Matthias

AU - Leite, João

N1 - Sem PDF.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Artificial intelligence

KW - Data description

KW - Reconfigurable hardware

KW - Semantics

UR - http://www.scopus.com/inward/record.url?scp=84961177526&partnerID=8YFLogxK

UR - http://conf/ijcai/2015jowo

M3 - Conference contribution

T3 - CEUR Workshop Proceedings

BT - Proceedings 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)

A2 - Garcia, L.

A2 - Meyer, T.

A2 - Borgo, S.

A2 - Benferhat, S.

A2 - Ferme, E.

A2 - Porello, D.

A2 - Baclawski, K.

A2 - Krisnadhi, A.

A2 - Klinov, P.

A2 - Hahmann, T.

A2 - Papini, O.

A2 - Mugnier, M.

A2 - Wassermann, R.

A2 - Kutz, O.

PB - CEUR-WS.org

ER -

Kaminski T, Knorr M, Leite J. Well-founded paraconsistent semantics for hybrid theories composed of rules and ontologies. In Garcia L, Meyer T, Borgo S, Benferhat S, Ferme E, Porello D, Baclawski K, Krisnadhi A, Klinov P, Hahmann T, Papini O, Mugnier M, Wassermann R, Kutz O, editors, Proceedings 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). CEUR-WS.org. 2015. (CEUR Workshop Proceedings).