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\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}
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