\subsubsection{Simple Join}
\begin{algorithm}
    \caption{SimpleJoin Algorithm}
    \begin{algorithmic}[1]
        \Procedure{SimpleJoin}{$R$, $S$}
        \For{each tuple $t_R \in R$}
        \For{each tuple $t_S \in S$}
        \If{$\texttt{pred}(t_R, t_S)$}
        \State $\texttt{add}\{ t_R, t_S \}$ to the join output
        \EndFor
        \EndFor
        \EndProcedure
    \end{algorithmic}
\end{algorithm}