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This theorem says that quantifiers over real variables can be eliminated from classical first order formulae built from equations and inequalities between polynomials with rational coefficients, ie in ...

Let $n_1, n_2 \geq 1$ be known integer constants. Suppose that we have the following system of $n$ polynomial inequalities for which we know that there exists a feasible solution $(p_1, p_2) \in (0,1)...