Definition:Semantic Equivalence/Boolean Interpretations/Definition 2

Definition
Let $\mathbf A, \mathbf B$ be WFFs of propositional logic.

Then $\mathbf A$ and $\mathbf B$ are equivalent for boolean interpretations iff:


 * $v \left({\mathbf A}\right) = v \left({\mathbf B}\right)$

for all boolean interpretations $v$.

Also see

 * Definition:Semantic Consequence (Boolean Interpretations)
 * Definition:Logical Equivalence