Which Alice?

Solutions to the Puzzles
so if the Jabberwocky were told that A claimed to be innocent, B
claimed to be guilty, and C claimed A to be innocent, he would have
known that C was guilty. So it is possible the Jabberwocky was told
this. Now, if the reader will examine the remaining cases — Cases 4,
5, 6, 7, 8 — he will see that Case 6 is the only one (other than Case 3)
where the Jabberwocky could tell who was guilty, and (like Case 3) it
turns out to be C. So either the Jabberwocky was told the statements
of Case 3 or the statements of Case 6, and in both cases it turns out
(by a fortunate coincidence!) that C was guilty.
ANOTHER CASE We know that A accused B, and we don't
know what B or C said. Suppose we were given the additional
information that the guilty one is the only one who lied. Then any
of the three could be guilty; there is no way to tell which one. On
the other hand, if we were told that the guilty one was the only one
who told the truth, then we would know that A couldn't be guilty
(for if he were, he would have told the truth when he accused B,
which would mean that B was guilty) and that B couldn't be guilty
(for if he were, then A would have been innocent and also would
have told the truth about B); so it would have to be C who was
guilty. Therefore, the Red Queen must have been told that the
guilty one was the only one who told the truth; otherwise she could
never have known who was guilty. So the answer is that C is guilty.
AND THIS CASE? Suppose Humpty Dumpty had been told
that all three lied. Then he couldn't have known whether C was
guilty and accused A, or whether A was guilty and C accused
himself (since all three would have lied in either case).
It is impossible that Humpty Dumpty was told that all three told
the truth, because it couldn't be that all three told the truth (since A,
B both accused B, and C accused someone other than B).
If Humpty Dumpty had been told that there were exactly two lies,
then he would have known that it was A and B who lied (because if
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