Inconsistency-tolerant query answering for existential rules
Querying inconsistent knowledge bases is an intriguing problem that gave rise to a flourishing research activity in the knowledge representation and reasoning community during the last years. It has been extensively studied in the context of description logics (DLs), and its computational complexity...
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Published in | Artificial intelligence Vol. 307; p. 103685 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.06.2022
Elsevier Science Ltd |
Subjects | |
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Abstract | Querying inconsistent knowledge bases is an intriguing problem that gave rise to a flourishing research activity in the knowledge representation and reasoning community during the last years. It has been extensively studied in the context of description logics (DLs), and its computational complexity is rather well-understood. Although DLs are popular formalisms for modeling ontologies, it is generally agreed that rule-based ontologies are well-suited for data-intensive applications, since they allow us to conveniently deal with higher-arity relations, which naturally occur in standard relational databases. The goal of this work is to perform an in-depth complexity analysis of querying inconsistent knowledge bases in the case of the main decidable classes of existential rules, based on the notions of guardedness, linearity, acyclicity, and stickiness, enriched with negative (a.k.a. denial) constraints. Our investigation concentrates on three central inconsistency-tolerant semantics: the ABox repair (AR) semantics, considered as the standard one, and its main sound approximations, the intersection of repairs (IAR) semantics and the intersection of closed repairs (ICR) semantics. |
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AbstractList | Querying inconsistent knowledge bases is an intriguing problem that gave rise to a flourishing research activity in the knowledge representation and reasoning community during the last years. It has been extensively studied in the context of description logics (DLs), and its computational complexity is rather well-understood. Although DLs are popular formalisms for modeling ontologies, it is generally agreed that rule-based ontologies are well-suited for data-intensive applications, since they allow us to conveniently deal with higher-arity relations, which naturally occur in standard relational databases. The goal of this work is to perform an in-depth complexity analysis of querying inconsistent knowledge bases in the case of the main decidable classes of existential rules, based on the notions of guardedness, linearity, acyclicity, and stickiness, enriched with negative (a.k.a. denial) constraints. Our investigation concentrates on three central inconsistency-tolerant semantics: the ABox repair (AR) semantics, considered as the standard one, and its main sound approximations, the intersection of repairs (IAR) semantics and the intersection of closed repairs (ICR) semantics. |
ArticleNumber | 103685 |
Author | Malizia, Enrico Pieris, Andreas Martinez, Maria Vanina Lukasiewicz, Thomas Simari, Gerardo I. Molinaro, Cristian |
Author_xml | – sequence: 1 givenname: Thomas surname: Lukasiewicz fullname: Lukasiewicz, Thomas email: thomas.lukasiewicz@cs.ox.ac.uk organization: Department of Computer Science, University of Oxford, UK – sequence: 2 givenname: Enrico surname: Malizia fullname: Malizia, Enrico email: enrico.malizia@unibo.it organization: DISI, University of Bologna, Italy – sequence: 3 givenname: Maria Vanina surname: Martinez fullname: Martinez, Maria Vanina email: mvmartinez@dc.uba.ar organization: Department of Computer Science, Universidad de Buenos Aires, Argentina – sequence: 4 givenname: Cristian surname: Molinaro fullname: Molinaro, Cristian email: cmolinaro@dimes.unical.it organization: DIMES, University of Calabria, Italy – sequence: 5 givenname: Andreas surname: Pieris fullname: Pieris, Andreas email: apieris@inf.ed.ac.uk organization: School of Informatics, University of Edinburgh, UK – sequence: 6 givenname: Gerardo I. orcidid: 0000-0003-3185-4992 surname: Simari fullname: Simari, Gerardo I. email: gis@cs.uns.edu.ar organization: Dept. of Computer Science and Engineering, Universidad Nacional del Sur (UNS), Argentina |
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Keywords | Query answering Inconsistency Semantics Computational complexity Rule-based ontologies Conjunctive queries |
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Snippet | Querying inconsistent knowledge bases is an intriguing problem that gave rise to a flourishing research activity in the knowledge representation and reasoning... |
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SubjectTerms | Complexity Computational complexity Conjunctive queries Inconsistency Intersections Knowledge bases (artificial intelligence) Knowledge representation Ontology Query answering Relational data bases Rule-based ontologies Semantics |
Title | Inconsistency-tolerant query answering for existential rules |
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