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multiple logical connectives



OK, this is lojban related so I hope I haven't been killfiled too 
much. Anyway, I was looking at the logical connective section and 
noticed it sort of glossed over how two or more connectives together 
work. Now in general a truth table or x arguments is 2^(2^x), 
right? Repeated connectives give you 16^(x-1). Now these happen to 
coincide for x=2 and 3, after which I think the general truth table 
becomes increasingly larger.

My question is, for x=3, can the connectives give you the full 
trutch table?