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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 26 / No. 1: Twenty-Sixth AAAI Conference on Artificial Intelligence

Equality-Friendly Well-Founded Semantics and Applications to Description Logics

March 8, 2023

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Authors

Georg Gottlob

University of Oxford


André Hernich

Humboldt-Universitaet zu Berlin


Clemens Kupke

University of Oxford


Thomas Lukasiewicz

University of Oxford


DOI:

10.1609/aaai.v26i1.8227


Abstract:

We tackle the problem of defining a well-founded semantics for Datalog rules with existentially quantified variables in their heads and negations in their bodies. In particular, we provide a well-founded semantics (WFS) for the recent Datalog+/- family of ontology languages, which covers several important description logics (DLs). To do so, we generalize Datalog+/- by non-stratified nonmonotonic negation in rule bodies, and we define a WFS for this generalization via guarded fixed-point logic. We refer to this approach as equality-friendly WFS, since it has the advantage that it does not make the unique name assumption (UNA); this brings it close to OWL and its profiles as well as typical DLs, which also do not make the UNA. We prove that for guarded Datalog+/- with negation under the equality-friendly WFS, conjunctive query answering is decidable, and we provide precise complexity results for this problem. From these results, we obtain precise definitions of the standard WFS extensions of EL and of members of the DL-Lite family, as well as corresponding complexity results for query answering.

Topics: AAAI

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HOW TO CITE:

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz Equality-Friendly Well-Founded Semantics and Applications to Description Logics Proceedings of the AAAI Conference on Artificial Intelligence, 26 (2012) 757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz Equality-Friendly Well-Founded Semantics and Applications to Description Logics AAAI 2012, 757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz (2012). Equality-Friendly Well-Founded Semantics and Applications to Description Logics. Proceedings of the AAAI Conference on Artificial Intelligence, 26, 757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. Equality-Friendly Well-Founded Semantics and Applications to Description Logics. Proceedings of the AAAI Conference on Artificial Intelligence, 26 2012 p.757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. 2012. Equality-Friendly Well-Founded Semantics and Applications to Description Logics. "Proceedings of the AAAI Conference on Artificial Intelligence, 26". 757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. (2012) "Equality-Friendly Well-Founded Semantics and Applications to Description Logics", Proceedings of the AAAI Conference on Artificial Intelligence, 26, p.757

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz, "Equality-Friendly Well-Founded Semantics and Applications to Description Logics", AAAI, p.757, 2012.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. "Equality-Friendly Well-Founded Semantics and Applications to Description Logics". Proceedings of the AAAI Conference on Artificial Intelligence, 26, 2012, p.757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. "Equality-Friendly Well-Founded Semantics and Applications to Description Logics". Proceedings of the AAAI Conference on Artificial Intelligence, 26, (2012): 757.

Georg Gottlob|| André Hernich|| Clemens Kupke|| Thomas Lukasiewicz. Equality-Friendly Well-Founded Semantics and Applications to Description Logics. AAAI[Internet]. 2012[cited 2023]; 757.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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