I want to refer to some state after somehting action has completed. For instance,
I will be at home after I've completed all of my work.
Is the present perfect common in the case?
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Your understanding is correct. I will just quote Practical English Usage by Michael Swan:
30 after: conjunction
3 perfect tenses
In clauses with after, we often use present and past perfect tenses to show that one thing is completed before another starts.
I'll telephone you after I've seen Jake.
After I had finished school, I went to America.
Note how similar your example and the first example from the book are. Also, be careful with the tense. The second example uses the past perfect because the main clause is in the past.