On rational entailment for Propositional Typicality Logic

Booth, Richard and Casini, Giovanni and Meyer, Thomas and Varzinczak, Ivan (2019) On rational entailment for Propositional Typicality Logic, Artificial Intelligence, 277, Elsevier.

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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.

Item Type: Journal article (paginated)
Subjects: Computing methodologies > Artificial intelligence
Date Deposited: 15 Jan 2020 11:24
Last Modified: 15 Jan 2020 11:24
URI: http://pubs.cs.uct.ac.za/id/eprint/1361

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