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diff --git a/implementing_trees.mdwn b/implementing_trees.mdwn
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--- a/implementing_trees.mdwn
+++ b/implementing_trees.mdwn
@@ -1,6 +1,9 @@
#Implementing trees#
-In [[Assignment3]] we proposed a very ad-hoc-ish implementation of trees.
+In [[Assignment3]] we proposed a very ad-hoc-ish implementation of
+trees. It had the virtue of constructing trees entirely out of lists,
+which meant that there was no need to define any special
+tree-construction functions.
Think about how you'd implement them in a more principled way. You could
use any of the version 1 -- version 5 implementation of lists as a model.
@@ -17,10 +20,10 @@ the tree's leaves that are labeled:
/ \
1 2
-Linguists often use trees of this sort. The inner, non-leaf nodes of the
-tree do have associated values. But what values they are can be determined from
-the structure of the tree and the values of the node's left and right children.
-So the inner node doesn't need its own independent label.
+The inner, non-leaf nodes of the tree may have associated values. But if so,
+what values they are will be determinable from the structure of the tree and the
+values of the node's left and right children. So the inner nodes don't need
+their own independent labels.
In another sort of tree, the tree's inner nodes are also labeled: