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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 25 / No. 1: Twenty-Fifth AAAI Conference on Artificial Intelligence

Higher-Order Description Logics for Domain Metamodeling

March 8, 2023

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Authors

Giuseppe De Giacomo

Sapienza Universita' di Roma


Maurizio Lenzerini

Sapienza Universita' di Roma


Riccardo Rosati

Sapienza Universita' di Roma


DOI:

10.1609/aaai.v25i1.7857


Abstract:

We investigate an extension of Description Logics (DL) with higher-order capabilities, based on Henkin-style semantics. Our study starts from the observation that the various possibilities of adding higher-order con- structs to a DL form a spectrum of increasing expres- sive power, including domain metamodeling, i.e., using concepts and roles as predicate arguments. We argue that higher-order features of this type are sufficiently rich and powerful for the modeling requirements aris- ing in many relevant situations, and therefore we carry out an investigation of the computational complexity of satisfiability and conjunctive query answering in DLs extended with such higher-order features. In particular, we show that adding domain metamodeling capabilities to SHIQ (the core of OWL 2) has no impact on the complexity of the various reasoning tasks. This is also true for DL-LiteR (the core of OWL 2 QL) under suit- able restrictions on the queries.

Topics: AAAI

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HOW TO CITE:

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati Higher-Order Description Logics for Domain Metamodeling Proceedings of the AAAI Conference on Artificial Intelligence, 25 (2011) 183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati Higher-Order Description Logics for Domain Metamodeling AAAI 2011, 183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati (2011). Higher-Order Description Logics for Domain Metamodeling. Proceedings of the AAAI Conference on Artificial Intelligence, 25, 183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. Higher-Order Description Logics for Domain Metamodeling. Proceedings of the AAAI Conference on Artificial Intelligence, 25 2011 p.183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. 2011. Higher-Order Description Logics for Domain Metamodeling. "Proceedings of the AAAI Conference on Artificial Intelligence, 25". 183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. (2011) "Higher-Order Description Logics for Domain Metamodeling", Proceedings of the AAAI Conference on Artificial Intelligence, 25, p.183

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati, "Higher-Order Description Logics for Domain Metamodeling", AAAI, p.183, 2011.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. "Higher-Order Description Logics for Domain Metamodeling". Proceedings of the AAAI Conference on Artificial Intelligence, 25, 2011, p.183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. "Higher-Order Description Logics for Domain Metamodeling". Proceedings of the AAAI Conference on Artificial Intelligence, 25, (2011): 183.

Giuseppe De Giacomo|| Maurizio Lenzerini|| Riccardo Rosati. Higher-Order Description Logics for Domain Metamodeling. AAAI[Internet]. 2011[cited 2023]; 183.


ISSN: 2374-3468


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