A complete classification of tractability in RCC-5

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Abstract

We investigate the computational properties of the spatial algebra RCC-5 which is a restricted version of the RCC framework for spatial reasoning. The satisfiability problem for RCC-5 is known to be NP-complete but not much is known about its approximately four billion subclasses. We provide a complete classification of satisfiability for all these subclasses into polynomial and NP-complete respectively. In the process, we identify all maximal tractable subalgebras which are four in total.

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Jonsson, P., & Drakengren, T. (1997). A complete classification of tractability in RCC-5. Journal of Artificial Intelligence Research, 6, 211–221. https://doi.org/10.1613/jair.379

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