T Licensing in English

The Wikipedia on T licity gives a little bit of background on the difference between T lick and A T lick. If you are already doing the action when you say I begin to X, then it's A T licking. For example, here's an example: John built a house in a month. That's fine. Versus John built a houses for a month. The built a house is T lick so that they have that marked as bad versus John built houses in amonth. Sounds a little off where John built houses for a months is fine because it's AT lick.