{"type":"ScholarlyArticle","title":"A Characterization Theorem for a Modal Description Logic","authors":[{"name":"Paul Wild","slug":"paul-wild","given":"Paul","family":"Wild","affiliation":"Friedrich-Alexander-Universität Erlangen-Nürnberg"},{"name":"Lutz Schröder","slug":"lutz-schroder","given":"Lutz","family":"Schröder","affiliation":"Friedrich-Alexander-Universität Erlangen-Nürnberg"}],"abstract":"Modal description logics feature modalities that capture dependence of knowledge on parameters such as time, place, or the information state of agents. E.g., the logic S5-ALC combines the standard description logic ALC with an S5-modality that can be understood as an epistemic operator or as representing (undirected) change. This logic embeds into a corresponding modal first-order logic S5-FOL. We prove a modal characterization theorem for this embedding, in analogy to results by van Benthem and Rosen relating ALC to standard first-order logic: We show that S5-ALC with only local roles is, both over finite and over unrestricted models, precisely the bisimulation-invariant fragment of S5-FOL, thus giving an exact description of the expressive power of S5-ALC with only local roles.","doi":"10.24963/ijcai.2017/181","url":"https://ijcai.org/proceedings/2017/181","pdf":"https://ijcai.org/proceedings/2017/0181.pdf","markdown":"https://ijcai.org/proceedings/2017/181.md","bibtex":"https://ijcai.org/proceedings/2017/bibtex/181","volume":{"slug":"2017","title":"Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2017","url":"https://ijcai.org/proceedings/2017/","year":2017,"location":"Melbourne, Australia","dates":"19-25 August 2017","editors":"Carles Sierra","isbn":"978-0-9992411-0-3","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2017"},"section":"Knowledge Representation, Reasoning, and Logic","track":"Main track","number":181,"pages":{"first":1304,"last":1310},"keywords":["Knowledge Representation, Reasoning, and Logic: Reasoning about Knowlege and Belief","Knowledge Representation, Reasoning, and Logic: Logics for Knowledge Representation","Knowledge Representation, Reasoning, and Logic: Description Logics and Ontologies"],"videos":[],"references":[{"position":1,"raw":"[Abriola et al., 2017] Sergio Abriola, Mara Descotte, and Santiago Figueira. 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