the prime minister was proposed by the party leaders but can only be appointed by the president of democracy in this case carolos papoulias then the parliament has to provide a confidence vote to the new pm and to the new government if you want you can read the part on the greek constitution there's an on line edition if you google it in english too i think where it is explained in details how a pm is appointed but the general idea is that after elections the party that comes first in votes proposes a p m the president appoints him and the parliament has to give the confidence vote to the new pm and the government in this case were we have a coalition government consisting of three parties they all came to the conclusion of proposing mr papademos and then the same procedure takes place