Form and rules
How it works
Auxiliaries build negatives/questions and tense/aspect structures: do you know, is working, has finished.
Do/does/did can add emphasis to an affirmative simple-tense statement: I do understand; she did call.
Auxiliaries can substitute for a repeated verb phrase: I haven't finished, but Ana has.
Agreement patterns use auxiliaries: So do I; Neither have we.
Short answers repeat the relevant auxiliary/modal rather than the full verb phrase: Yes, I can; No, she hasn't.