Modal intervals revisited : a mean-value extension to generalized intervals

Abstract : The modal intervals theory deals with quantified propositions in AE-form, i.e. universal quantifiers precede existential ones, where variables are quantified over continuous domains and with equality constraints. It allows to manipulate such quantified propositions computing only with bounds of intervals. A simpler formulation of this theory is presented. Thanks to this new framework, a mean-value extension to generalized intervals (intervals whose bounds are not constrained to be ordered) is defined. Its application to the validation of quantified propo- sitions is illustrated
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Conference papers
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https://hal.inria.fr/hal-00990048
Contributor : David Daney <>
Submitted on : Tuesday, May 13, 2014 - 8:29:42 AM
Last modification on : Tuesday, December 4, 2018 - 8:32:02 AM

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  • HAL Id : hal-00990048, version 1

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Alexandre Goldsztejn, David Daney, Michel Rueher, Patrick Taillibert. Modal intervals revisited : a mean-value extension to generalized intervals. In International Workshop on Quantification in Constraint Programming (International Conference on Principles and Practice of Constraint Programming, CP-2005), Oct 2005, Barcelona, Spain. ⟨hal-00990048⟩

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