He will work on Tuesday = A future fact based on present knowledge. He is working on Tuesday = An arrangement for the near future For example It's Monday and I want to ask somebody whether he/ she works tomorrow, what should i say: Are you working tomorrow ( I believe it's correct because it refers to arrangements-- Yes. -- A little odd, since it does not state a fact, but possible.
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I didn't know it is possible to use Present Simple in that way(I'm surprised)...
Do you work tomorrow?
I work tomorrow.