I was quite surprised to find that OO BASIC string comparison is different than
in many other contexts (although it may be consistent with other BASIC
implementations). For example, "a" > "b" as well as "a" > "ab" etc. In other
words, string x "is greater than" string y iff x precedes y lexicographically.
In many other situations the definition is exactly the reverse: x > y iff y
precedes x. Note that the latter definition is a natural generalization of the
ordering of natural numbers: Number n > m if n appears later in the enumeration
of natural numbers. Since strings may be enumerated similarly to natural
numbers, it would make sense to define for two strings x > y as "x appears later
than y in the lexicographic enumeration of strings".

Obviously, I am not saying that the implementation should be changed; but in
view of the foregoing, I think that string comparison merits an explanation in
the on line and other documentation.

Looking at the online documention, an appropriate place for a small comment would be

Macros and Programming ->
Command Reference ->
Run-Time Functions, Statements, and Operators ->
Comparison Operators