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Interpreting topological logics over Euclidean spaces

Kontchakov, Roman and Pratt-Hartmann, I. and Zakharyaschev, Michael (2010) Interpreting topological logics over Euclidean spaces. In: Lin, F. and Sattler, U. and Truszczynski, M. (eds.) Principles of Knowledge Representation and Reasoning: Proceedings of the Twelfth International Conference, KR 2010, Toronto, Ontario, Canada, May 9-13, 2010. California, U.S.: AAAI Press, pp. 534-544. ISBN 9781577354512.

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Topological logics are a family of languages for representing and reasoning about topological data. In this paper, we consider propositional topological logics able to express the property of connectedness. The satisfiability problem for such logics is shown to depend not only on the spaces they are interpreted in, but also on the subsets of those spaces over which their variables are allowed to range. We identify the crucial notion of tameness, and chart the surprising patterns of sensitivity to the presence of non-tame regions exhibited by a range of topological logics in low-dimensional Euclidean spaces.

Item Type: Book Section
School or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Computer Science and Information Systems
Depositing User: Roman Kontchakov
Date Deposited: 23 Oct 2012 09:39
Last Modified: 11 Oct 2016 12:02

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