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On the consistency problem for the INDU calculus

Abstract : In this paper, we further investigate the consistency problem for the qualitative temporal calculus introduced by Pujari et al. [A.K. Pujari, G.V. Kumari, A. Sattar, INDU: An interval and duration network, in: Australian Joint Conference on Artificial Intelligence, 1999, pp. 291–303]. We prove the intractability of the consistency problem for the subset of pre-convex relations, and the tractability of strongly pre-convex relations. Furthermore, we also define another interesting set of relations for which the consistency problem can be decided by the , a method similar to the usual path-consistency method. Finally, we prove that the is also complete for the set of atomic relations of implying that the intervals have the same duration.
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https://hal-univ-artois.archives-ouvertes.fr/hal-03300285
Contributor : Fabien Delorme <>
Submitted on : Tuesday, July 27, 2021 - 9:16:49 AM
Last modification on : Thursday, September 9, 2021 - 3:10:00 PM

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Philippe Balbiani, Jean-François Condotta, Gérard Ligozat. On the consistency problem for the INDU calculus. Journal of Applied Logic, Elsevier, 2006, Special issue: TIME-ICTL 2003, 4 (2), pp.119-140. ⟨10.1016/j.jal.2005.06.002⟩. ⟨hal-03300285⟩

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