In mathematical logic, satisfiability and validity are elementary concepts of semantics. A formula is satisfiable if it is possible to find an interpretation (model) that makes the formula true. A formula is valid if all interpretations make the formula true. The opposites of these concepts are unsatisfiability and invalidity, that is, a formula i...
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(from the article `metalogic`) ...the truth or falsity of sentences in a formal system, but with respect to a logical calculus one speaks of validity (i.e., being true in all ... Completeness means that every valid sentence of the calculus is a theorem. It follows that if ~ is not a theorem, then ~ is not valid; and, ... A realizatio...
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