Output details
11 - Computer Science and Informatics
University of Manchester
Topological Logics with Connectedness over Euclidean Spaces
<11>Everyday spatial reasoning problems are concerned with extended entities (as opposed to points), and invoke qualitative (as opposed to quantitative) properties and relations. This paper is significant in providing computational complexity results on various formal languages for expressing qualitative spatial information about regions in Euclidean spaces. We show that even the most minimal logics of this category having usable expressive power are undecidable - thus presenting a stark challenge to the discipline of spatial reasoning. This is an extended version of a paper which won the Distinguished Paper Award at the IJCAI-11, from a field of 1,400 submissions.