Factive.
Presupposition: Bob beat his dog.
Aspectual.
Presupposition: Bob has been beating his dog.
Implicative.
Presupposition: Training the dog would require effort.
Iterative
Presupposition: The dog bit Bob before.
Cleft
Presupposition: The dog bit someone.
Presupposition: Others beat the dog and Bob was the least likely to have done so.