Definition:Model (Logic)

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

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

Also known as
If $\mathcal M$ is a model of $\phi$, respectively $\mathcal F$, one sometimes says that $\mathcal M$ models $\phi$, respectively $\mathcal F$.

Also see

 * Definition:Valid (Formal Systems)