[jsprogrammer]

You make fair points. Our disagreement seems to only be about the interpretation of the rules.

>In fact, there is no way that you can differentiate all four possibilities with a single yes/no response; you need at least two.

This is why I would say that the question is actually two questions. Two separate truth values must first be produced, then combined with some operator to make a third (and possibly combined again) value, which is the answer given by the god.

If a god must parse your question down into individual propositions and then answer them in some order to resolve a larger statement, it might stop after the first proposition. I believe it's a valid interpretation of the rules anyway.