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.
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 Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems |
| Depositing User: | Administrator |
| Date Deposited: | 30 May 2013 13:19 |
| Last Modified: | 11 Oct 2016 12:01 |
| URI: | http://eprints.bbk.ac.uk/id/eprint/7107 |
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