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The inequality-satisfiability problem
Authors:Dorit S Hochbaum  Erick Moreno-Centeno
Institution:a Department of Industrial Engineering and Operations Research, 4181 Etcheverry Hall, Mail Code 1777, University of California, Berkeley, CA 94720-1777, USA
b Walter A. Haas School of Business, University of California, Berkeley, USA
Abstract:We define a generalization of the satisfiability problem (SAT) where each “clause” is an or-list of inequalities in n variables. This problem is NP-complete even when containing only two inequalities per “clause”, but solvable in polynomial time when either the number of variables or the number of “clauses” is fixed.
Keywords:Satisfiability (SAT)  Inequality-satisfiability  Or-inequalities  Parting directions
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