A Complete Classification of Tractability in RCC-5
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TL;DR
This work investigates the computational properties of the spatial algebra RCC-5 which is a restricted version of the RCC framework for spatial reasoning and identifies all maximal tractable subalgebras which are four in total.
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.
