For a given inequality with 0-1 variables, there are many other "equivalent" inequalities with exactly the same 0-1 feasible solutions. The set of all equivalent inequalities is character- ized, and methods to construct the equivalent inequality with smallest coefficients are des- cribed.
Bradley, G. H., Hammer, P. L., & Wolsey, L. (1974). Coefficient reduction for inequalities in 0-1 variables. Mathematical Programming, 7, 263-282. https://doi.org/10.1007/BF01585527 (Original work published 1974)