In a food processor, combine the flour, yeast, salt and sugar.
With the machine running, add 1/2 cup of water and the olive oil through the feed tube. Process for 15-20 seconds; adding more water a little at a time, until the mixture forms into a ball. If the dough seems to sticky, add a little more flour.
Transfer the dough to a lightly-floured surface. Knead a few times just to get a smooth dough.
Grease a bowl with a little olive oil and transfer the dough to the bowl.
Turn once to coat all sides with the oil. Cover the bowl and let rise until double in volume, 1-1/2 to 2 hours.
Punch down the dough and place it in a lightly-floured surface.
Divide the dough into 4 pieces. Cover and allow to rest for 20 minutes.