modal verbs - "He must have overslept, mustn't he?" versus "… , hasn't he?" or "… , didn't he?" Which is correct?


Which question tag should follow He must have overslept ?



He must have overslept, mustn't he ?



or



He must have overslept, hasn't he ?



or even



He must have overslept, didn't he ?



What motivates my question is that adding not to modal must usually changes its meaning from the logical deduction that something is/was the case to prohibition, doesn't it?




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