Falsity conditions for IF-sentences

We give a procedure to obtain falsity conditions for IF-sentences, using Skolemization. The expressive power of an IF-sentence can then be strongly captured by a pair of ??11 -sentences. A result from [Burgess 2003] shows that, conversely, any pair of incompatible ??11 -sentences corresponds with an IF-sentence. In the second part, we reflect on the influence of the order of the steps (inside-out versus outside-in) in the Skolemization procedures for IF-logic. We also reflect on the nature of game theoretical negation.