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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 36 / No. 5: AAAI-22 Technical Tracks 5

Finite Entailment of Local Queries in the Z Family of Description Logics

February 1, 2023

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Authors

Bartosz Bednarczyk

Computational Logic Group, TU Dresden University of Wrocław, Faculty of Mathematics and Computer Science


Emanuel Kieroński

University of Wrocław, Faculty of Mathematics and Computer Science


DOI:

10.1609/aaai.v36i5.20487


Abstract:

In the last few years the field of logic-based knowledge representation took a lot of inspiration from database theory. A vital example is that the finite model semantics in description logics (DLs) is reconsidered as a desirable alternative to the classical one and that query entailment has replaced knowledge-base satisfiability (KBSat) checking as the key inference problem. However, despite the considerable effort, the overall picture concerning finite query answering in DLs is still incomplete. In this work we study the complexity of finite entailment of local queries (conjunctive queries and positive boolean combinations thereof) in the Z family of DLs, one of the most powerful KR formalisms, lying on the verge of decidability. Our main result is that the DLs ZOQ and ZOI are finitely controllable, i.e. that their finite and unrestricted entailment problems for local queries coincide. This allows us to reuse recently established upper bounds on querying these logics under the classical semantics. While we will not solve finite query entailment for the third main logic in the Z family, ZIQ, we provide a generic reduction from the finite entail- ment problem to the finite KBSat problem, working for ZIQ and some of its sublogics. Our proofs unify and solidify previously established results on finite satisfiability and finite query entailment for many known DLs.

Topics: AAAI

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HOW TO CITE:

Bartosz Bednarczyk||Emanuel Kieroński Finite Entailment of Local Queries in the Z Family of Description Logics Proceedings of the AAAI Conference on Artificial Intelligence (2022) 5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński Finite Entailment of Local Queries in the Z Family of Description Logics AAAI 2022, 5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński (2022). Finite Entailment of Local Queries in the Z Family of Description Logics. Proceedings of the AAAI Conference on Artificial Intelligence, 5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński. Finite Entailment of Local Queries in the Z Family of Description Logics. Proceedings of the AAAI Conference on Artificial Intelligence 2022 p.5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński. 2022. Finite Entailment of Local Queries in the Z Family of Description Logics. "Proceedings of the AAAI Conference on Artificial Intelligence". 5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński. (2022) "Finite Entailment of Local Queries in the Z Family of Description Logics", Proceedings of the AAAI Conference on Artificial Intelligence, p.5487-5494

Bartosz Bednarczyk||Emanuel Kieroński, "Finite Entailment of Local Queries in the Z Family of Description Logics", AAAI, p.5487-5494, 2022.

Bartosz Bednarczyk||Emanuel Kieroński. "Finite Entailment of Local Queries in the Z Family of Description Logics". Proceedings of the AAAI Conference on Artificial Intelligence, 2022, p.5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński. "Finite Entailment of Local Queries in the Z Family of Description Logics". Proceedings of the AAAI Conference on Artificial Intelligence, (2022): 5487-5494.

Bartosz Bednarczyk||Emanuel Kieroński. Finite Entailment of Local Queries in the Z Family of Description Logics. AAAI[Internet]. 2022[cited 2023]; 5487-5494.


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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