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Description logics of context

Klarman, Szymon and Gutierrez Basulto, Victor 2016. Description logics of context. Journal of Logic and Computation 26 (3) , pp. 817-854. 10.1093/logcom/ext011

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Abstract

We introduce Description Logics of Context (DLCs)—an extension of Description Logics (DLs) for context-based reasoning. Our approach descends from J. McCarthy's tradition of treating contexts as formal objects over which one can quantify and express first-order properties. DLCs are founded in two-dimensional possible world semantics, where one dimension represents a usual object domain and the other a domain of contexts, and accommodate two interacting DL languages—the object and the context language—interpreted over their respective domains. Effectively, DLCs comprise a family of two-sorted , two-dimensional combinations of pairs of DLs. We argue that this setup ensures a well-grounded, generic framework for capturing and studying mechanisms of contextualization in the DL paradigm. As the main technical contribution, we prove 2ExpTime-completeness of the satisfiability problem in the maximally expressive DLC, based on the DL forumla . As an interesting corollary, we show that under certain conditions this result holds also for a range of two-dimensional DLs, including the prominent forumla .

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Publisher: Oxford University Press
ISSN: 0955-792X
Date of First Compliant Deposit: 4 June 2018
Date of Acceptance: 28 May 2013
Last Modified: 07 Dec 2020 18:14
URI: http://orca.cf.ac.uk/id/eprint/111925

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