Consequence-Based Reasoning for Description Logics with Disjunction, Inverse Roles, Number Restrictions, and Nominals
Abstract
We present a consequence-based calculus for concept subsumption and classification in the description logic ALCHOIQ, which extends ALC with role hierarchies, inverse roles, number restrictions, and nominals. By using standard transformations, our calculus extends to SROIQ, which covers all of OWL 2 DL except for datatypes. A key feature of our calculus is its pay-as-you-go behaviour: unlike existing algorithms, our calculus is worst-case optimal for all the well-known proper fragments of ALCHOIQ, albeit not for the full logic.
Cite
Text
Cucala et al. "Consequence-Based Reasoning for Description Logics with Disjunction, Inverse Roles, Number Restrictions, and Nominals." International Joint Conference on Artificial Intelligence, 2018. doi:10.24963/IJCAI.2018/272Markdown
[Cucala et al. "Consequence-Based Reasoning for Description Logics with Disjunction, Inverse Roles, Number Restrictions, and Nominals." International Joint Conference on Artificial Intelligence, 2018.](https://mlanthology.org/ijcai/2018/cucala2018ijcai-consequence/) doi:10.24963/IJCAI.2018/272BibTeX
@inproceedings{cucala2018ijcai-consequence,
title = {{Consequence-Based Reasoning for Description Logics with Disjunction, Inverse Roles, Number Restrictions, and Nominals}},
author = {Cucala, David Tena and Grau, Bernardo Cuenca and Horrocks, Ian},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2018},
pages = {1970-1976},
doi = {10.24963/IJCAI.2018/272},
url = {https://mlanthology.org/ijcai/2018/cucala2018ijcai-consequence/}
}