apt manual notation

\documentclass{article}

\begin{document}

$$
NAME
\left(
\left\{
\begin{array}{ccc}
a,&THRU,&
\left\{
\begin{array}{c}
b\\
ALL\\
\end{array}
\right\}\\
\:&THRU,&
\left\{
\begin{array}{c}
b\\
ALL\\
\end{array}
\right\}\\
\:&ALL\\
\end{array}
\right\}
\left[ ,
\left\{
\begin{array}{c}
INCR\\
DECR\\
\end{array}
\right\}, C
\right]
\right)
$$

\end{document}