Bötcher, A, Lutz, C and Wolter, F
(2018)
Complete approximation of horn DL ontologies.
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Abstract
We study the approximation of expressive Horn DL ontologies in less expressive Horn DLs, with completeness guarantees. Cases of interest include Horn-SRIF-to-ELR⊥, Horn-SHIF-to-ELH⊥, and others. Since finite approximations almost never exist, we carefully map out the structure of infinite approximations. This provides a solid theoretical foundation for constructing incomplete approximations in practice in a controlled way. Technically, we exibit a connection to the axiomatization of quasi-equations valid in classes of semilattices with operators and additionally develop a direct proof strategy based on the chase and on homomorphisms that allows us to also deal with approximations of bounded role depth.
Item Type: | Conference or Workshop Item (Unspecified) |
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Depositing User: | Symplectic Admin |
Date Deposited: | 24 Apr 2019 07:41 |
Last Modified: | 19 Jan 2023 00:53 |
Open Access URL: | http://ceur-ws.org/Vol-2211/paper-11.pdf |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3038155 |