(Of course there is no such thing as a "social democracy", in the sense that the government structure is modified from a "non-social" democracy. But there can be democrats who push for a socially oriented governance. For example: Let's have affordable healthcare. Yes, that means that it cost more for rich people..
Democrats here means "people who want to take part in a democracy". not the US party. Not that they are liberal in the European sense either.) )