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.