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5.7.T ( Unification theorem ) For any two terms or formulas without quantifiers X and Y, the following holds. (i) The unification algorithm UNIF₁, applied to X, Y, terminates after a finite number of steps. (ii) {X, Y} is unifiable iff UNIF₁ so indicates upon ter- mination. Moreover, the substitution σ then available as out- put is a most general unifier of {X, Y}.

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