Soundness Theorem - Natural & Formal Sciences - Mathematics & Logic Dictionary Definition A metatheorem that guarantees every formula provable in a given formal deductive system is also semantically valid in the intended class of models; syntactic derivability implies model-theoretic truth.
Soundness Theorem - Natural & Formal Sciences - Mathematics & Logic Dictionary Definition A metatheorem that guarantees every formula provable in a given formal deductive system is also semantically valid in the intended class of models; syntactic derivability implies model-theoretic truth.