Computational complexity of multi-way, dataflow constraint problems

  • Authors:
  • Gilles Trombettoni;Bertrand Neveu

  • Affiliations:
  • CERMICS, INRIA, Sophia-Antipolis Cedex, France;CERMICS, INRIA, Sophia-Antipolis Cedex, France

  • Venue:
  • IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
  • Year:
  • 1997

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Abstract

Although it is acknowledged that multiway dataflow constraints are useful in interactive applications, concerns about their tractability have hindered their acceptance. Certain local propagation algorithms that solve these constraints are polynomial, others (such as Sky-Blue) are exponential. Every system handles a specific problem and the influence of any particular restriction on the computational complexity is not yet precisely determined. In this paper, we present three theoretical results that allow us to classify existing multi-way constraint problems. Especially, we prove that the problem handled by SkyBlue is NP-hard.