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Consistency Checking for Qualitative Spatial Reasoning with Cardinal Directions

  • Conference paper
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Principles and Practice of Constraint Programming - CP 2002 (CP 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2470))

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Abstract

We present a formal model for qualitative spatial reasoning with cardinal directions and study the problem of checking the consistency of a set of cardinal direction constraints. We present the first algorithm for this problem, prove its correctness and analyze its computational complexity. Utilizing the above algorithm we prove that the consistency checking of a set of basic cardinal direction constraints can be performed in time while the consistency checking of an unrestricted set of cardinal direction constraints is NP-complete. Finally, we briefly discuss some extensions to the basic model.

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© 2002 Springer-Verlag Berlin Heidelberg

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Skiadopoulos, S., Koubarakis, M. (2002). Consistency Checking for Qualitative Spatial Reasoning with Cardinal Directions. In: Van Hentenryck, P. (eds) Principles and Practice of Constraint Programming - CP 2002. CP 2002. Lecture Notes in Computer Science, vol 2470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46135-3_23

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  • DOI: https://doi.org/10.1007/3-540-46135-3_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44120-5

  • Online ISBN: 978-3-540-46135-7

  • eBook Packages: Springer Book Archive

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