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 :


 * $\map v {\mathbf A} = \map v {\mathbf B}$

for all boolean interpretations $v$.

Also see

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