English

A Complete Classification of Tractability in RCC-5

Artificial Intelligence 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.cs/9706102,
  title  = {A Complete Classification of Tractability in RCC-5},
  author = {P. Jonsson and T. Drakengren},
  journal= {arXiv preprint arXiv:cs/9706102},
  year   = {2009}
}

Comments

See http://www.jair.org/ for an online appendix and other files accompanying this article

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