Abstract
A logical formula F(X, P) can be treated as an equation to be satisfied by the solutions X 0(P) for the predicates X with the expressions P as parameters (if there are such solutions). J. McCarthy considered the parametrization of the solutions, gave the general solution in the case of propositional logic, and stated the problem for other logics. We find the general solution for formulas in the first-order language with monadic predicates and equality. The solutions are obtained via quantifier elimination and parametrized by ϵ-terms. Bibliography: 10 titles.
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