More problems

The next couple of problems take place on an island, where all the inhabitants are either ``knights'' who always tell the truth or ``knaves'' who always lie.

Problem. A person A said: ``I am a liar''. Is he an inhabitant of our lier?

Problem. What one question might be asked of an islander to find out where a road--to ate city of knights or to the city of knaves?

Problem. Assume that in the language of the island the words ``yes'' and ``no'' sound like ``flip'' or ``flop'', but we do not know which is which. What one question might be asked of an islander to find out whether he is a knight or a knave.

Problem. There are three people A, B, and C. Among them is a knight, knave and a stranger (``normal person''), who sometimes tells the truth and sometimes lies.

A said: ``I am a normal person''
B said: ``A and C sometimes tell the truth''
C said: ``B is a normal person.''

Who is who among A, B, and C?