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Complexity classification in qualitative temporal constraint reasoning
Authors:Peter Jonsson  Andrei Krokhin  
Affiliation:

aDepartment of Computer and Information Science, Linköpings Universitet, SE-581 83 Linköping, Sweden

bDepartment of Computer Science, University of Warwick, UK

Abstract:We study the computational complexity of the qualitative algebra which is a temporal constraint formalism that combines the point algebra, the point-interval algebra and Allen's interval algebra. We identify all tractable fragments and show that every other fragment is NP-complete.
Keywords:Temporal reasoning  Constraint satisfaction  Computational complexity
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