{"type":"ScholarlyArticle","title":"A Description Logic for Analogical Reasoning","authors":[{"name":"Steven Schockaert","slug":"steven-schockaert","given":"Steven","family":"Schockaert","affiliation":""},{"name":"Yazmin Ibanez-Garcia","slug":"yazmin-ibanez-garcia","given":"Yazmín","family":"Ibáñez-García","affiliation":""},{"name":"Victor Gutierrez-Basulto","slug":"victor-gutierrez-basulto","given":"Víctor","family":"Gutiérrez-Basulto","affiliation":""}],"abstract":"Ontologies formalise how the concepts from a given domain are interrelated. Despite their clear potential as a backbone for explainable AI, existing ontologies tend to be highly incomplete, which acts as a significant barrier to their more widespread adoption. To mitigate this issue, we present a mechanism to infer plausible missing knowledge, which relies on reasoning by analogy.  To the best of our knowledge, this is the first paper that studies analogical reasoning within the setting of description logic ontologies. After showing that the standard formalisation of analogical proportion has important limitations in this setting, we introduce an alternative semantics based on bijective mappings between sets of features. We then analyse the properties of analogies under the proposed semantics, and show among others how it enables two plausible inference patterns: rule translation and rule extrapolation.","doi":"10.24963/ijcai.2021/281","url":"https://ijcai.org/proceedings/2021/281","pdf":"https://ijcai.org/proceedings/2021/0281.pdf","markdown":"https://ijcai.org/proceedings/2021/281.md","bibtex":"https://ijcai.org/proceedings/2021/bibtex/281","volume":{"slug":"2021","title":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2021","url":"https://ijcai.org/proceedings/2021/","year":2021,"location":"Montreal","dates":"19-27 August 2021","editors":"Prof. Zhi-Hua Zhou","isbn":"978-0-9992411-9-6","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2021"},"section":"Knowledge Representation and Reasoning","track":"Main Track","number":281,"pages":{"first":2040,"last":2046},"keywords":["Knowledge Representation and Reasoning: Common-Sense Reasoning","Knowledge Representation and Reasoning: Description Logics and Ontologies"],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}