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Islands of tractability for relational constraints: towards dichotomy results for the description logic EL

Kurucz, A. and Wolter, F. and Zakharyaschev, Michael (2010) Islands of tractability for relational constraints: towards dichotomy results for the description logic EL. In: Beklemishev, L. and Goranko, V. and Shehtman, V. (eds.) Papers from the eighth conference on "Advances in Modal Logic," held in Moscow, Russia, 24-27. Advances In Modal Logic 8. London, UK: College Publications, pp. 271-291. ISBN 9781848900134.

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Abstract

EL is a tractable description logic serving as the logical underpinning of large-scale ontologies. We launch a systematic investigation of the boundary between tractable and intractable reasoning in EL under relational constraints. For example, we show that there are (modulo equivalence) exactly 3 universal constraints on a transitive and re exive relation under which reasoning is tractable: being a singleton set, an equivalence relation, or the empty constraint. We prove a number of results of this type and discuss a spectrum of open problems including generalisations to the algebraic semantics for EL (semi-lattices with monotone operators).

Metadata

Item Type: Book Section
Keyword(s) / Subject(s): Description logic, tractability, frame condition
School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Depositing User: Administrator
Date Deposited: 30 May 2013 13:19
Last Modified: 09 Aug 2023 12:33
URI: https://eprints.bbk.ac.uk/id/eprint/7107

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