\begin{itemize}
  \item $\Theory$-terms: A \emph{$\Theory$-term} is either a constant or variables $x,y,\ldots$.
    An application of a function symbol in $\Sigma$ where all inputs are $\Theory$-terms is a $\Theory$-term.

Examples for $\Theory$-terms in $\LIA$ are: $x+2$, $5$, $x-y$.

\item $\Theory$-atom: A \emph{$\Theory$-atom} is the application of a predicate symbol in $\Sigma$ where all inputs are $\Theory$-terms.

Examples for $\Theory$-atoms in $\LIA$ are: $x+2>0$, $5\leq 2$, $x-y>10$.

\item $\Theory$-literal: A \emph{$\Theory$-literal} is a $\Theory$-atoms or its negation.

\end{itemize}