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I have a (fairly large) system of polynomial equations, of the form $$ c_1d_1=0,\ c_1d_2+c_2d_1=0,\ldots $$ (In case it is relevant, all the polynomials are homogeneous of degree 2, except for exactly ...

Consider, over a finite set of boolean variables $X$, a Boolean system in CNF (conjunctive normal form) whose clauses only contain non-negated literals. For every assignment of the variables which ...