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Soundness theorem

The soundness theorem is a theorem in mathematical logic stating for a given system of interference rules and system of axioms satisfying certain conditions, any first-order formula that is provable is universally valid.

The converse of the soundness theorem (stating that valid expressions are theorems) is known as Gödel's completeness theorem.

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Soundness theorem".