DeepBlade: http://www.geocities.com/Athens/Acr...
an nice site about the gambit.
Quoting the site, to correct you both!
Variations
We don't like to play chess by memorizing long variations, but if you're going to play an opening it helps to have a feel for its key variations. In our experience we've found it useful to organize our study of variations into four major categories.
Accepted
The straightforward, plain vanilla BDG main line is 1. d4 d5 2. e4 dxe4 3. Nc3 Nf6 4. f3 exf3. I've seen all sorts of other things called a BDG by others who ought to know better. Years ago, for example, the ICCF ran BDG thematics with the only required moves being 1.d4 d5 2.e4, somewhat akin to calling 1.e4 c5 2.d4 the Smith-Morra Gambit. To have a BDG you have to have Nc3 and f3 in there. And of course if the gambit is accepted you have to have exf3.
Declined
After 1. d4 d5 2. e4 dxe4 3. Nc3 Nf6 4. f3 Black can decline the gambit with various other 4th moves. We've seen games labeled the BDG declined when White never played f3. Now, seriously, you've got to have an offer before you can decline it.
Avoided
Here we're talking about deviations by either player before 4.f3. Well, then, we're not talking about a BDG, right? Right. However, there are certain lines that are essential knowledge for anyone attempting a BDG--the Lemberger Countergambit, for example, where Black plays e5 on his third move and heads White off before he can offer the f-pawn.