Algorithm to take input m constraints over n variables

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The following problem is an application from automated program analysis. For a set of variables x1..... xn, you are given some equality constraints, of the form xi = xj and some inequality constraints, of the form xi 6= xj . Is it possible to satisfy all of them? For instance, the constraints x1 = x2, x2 = x3, x3 = x4, and x1 6= x4 cannot be satisfied. Give an efficient algorithm that takes as input m constraints over n variables and decides whether the constraints can be satisfied.

Reference no: EM1363318

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