Aviduser, the abandoned towers you are talking about (the two towers on the right side once you enter Porto Arabia) used to be for a Kuwaiti investor/developer from the "Al-Bahbahani" family. For those who do not know, Al-Bahbahani is a well known "business" family in Kuwait, just like Alfardan here in Qatar. Anyway, I know for sure UDC took over the building from this Kuwaiti developer and will finish it. They are in the process of changing the contracts with the owners right now, and from what I heard they should continue working on the building in a couple of months once they finish the logistics.
However, if you see First Qatar Tower from outside, you would think its complete, because it does look finished actually. So, I don't think they will abandon the project at this stage. I haven't been inside the building since last May. I would like to hear from other owners if they have been there lately or have done the snagging process yet???