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Horn Cardinality Rules, John N. Hooker, Hong Yan, Carnegie Mellon University.Engineering Design Research Center.

John Hooker

Abstract: "We address the problem of finding a 'tight' representation of Horn cardinality rules in a mixed integer programming model by describing a convex hull of it. A cardinality Horn rule asserts that if at least k of the propositions AΓéü,...,A[subscript m] are true, then B is true. We also show that Horn cardinality rules have properties analogous to ordinary Horn rules."