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Decidability (logic)
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== Relationship with completeness == Decidability should not be confused with [[complete theory|completeness]]. For example, the theory of [[algebraically closed field]]s is decidable but incomplete, whereas the set of all true first-order statements about nonnegative integers in the language with + and Γ is complete but undecidable. Unfortunately, as a terminological ambiguity, the term "undecidable statement" is sometimes used as a synonym for [[independence (mathematical logic)|independent statement]].
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