Definition:Model (Logic)/Logical Formula

Definition
Let $\mathscr M$ be a formal semantics for a logical language $\LL$.

Let $\MM$ be a structure of $\mathscr M$.

Let $\phi$ be a logical formula of $\LL$.

Then $\MM$ is a model of $\phi$ :


 * $\MM \models_{\mathscr M} \phi$

that is, $\phi$ is valid in $\MM$.