Step 1: Recall the post-pillar stoping method.
Post-pillar stoping is an underground mining method in which temporary pillars are left to support the roof while mining progresses.
Step 2: Identify its classification.
This method is regarded as a variant of
\[
\boxed{\text{Cut and fill stoping}}
\]
because mined-out areas are progressively filled while temporary pillars provide support.
Hence,
\[
\boxed{(A)}
\]
is the correct answer.