Can you be more explicit about the functions it can't compute? I'm pretty sure it can output at least some periodic things (e.g. it's trivial to make it output 01010101 forever).
Edit: just looking at it I'm pretty sure this language is Turing complete, I can't see any reason why it wouldn't be
Edit: just looking at it I'm pretty sure this language is Turing complete, I can't see any reason why it wouldn't be