@article{221, keywords = {Description logic EL, Defeasible reasoning, Nonmonotonic reasoning, Rational closure}, author = {Giovanni Casini and Umberto Straccia and Tommie Meyer}, title = {A polynomial Time Subsumption Algorithm for Nominal Safe ELO⊥ under Rational Closure}, abstract = {Description Logics (DLs) under Rational Closure (RC) is a well-known framework for non-monotonic reasoning in DLs. In this paper, we address the concept subsumption decision problem under RC for nominal safe ELO⊥, a notable and practically important DL representative of the OWL 2 profile OWL 2 EL. Our contribution here is to define a polynomial time subsumption procedure for nominal safe ELO⊥ under RC that relies entirely on a series of classical, monotonic EL⊥ subsumption tests. Therefore, any existing classical monotonic EL⊥ reasoner can be used as a black box to implement our method. We then also adapt the method to one of the known extensions of RC for DLs, namely Defeasible Inheritance-based DLs without losing the computational tractability.}, year = {2019}, journal = {Information Sciences}, volume = {501}, chapter = {588 - 620}, publisher = {Elsevier}, isbn = {0020-0255}, url = {http://www.sciencedirect.com/science/article/pii/S0020025518307436}, doi = {https://doi.org/10.1016/j.ins.2018.09.037}, }