Why does the air circulate on a flowing airfoil, thus giving rise to increased velocity (circulation + relative airspeed) above the wing and hence decreased pressure.
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Increased velocity does not necessarily require decreased pressure. That rule applies inside a tube, but not in open atmosphere. There are some good treatises on airfoil forces. Did you even look at the http://physics.stackexchange.com/q/13030/ links which popped up as you asked this question? – Carl Witthoft Mar 11 '14 at 12:08
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The reason for the circulation is viscosity. Thin boundary layers around the surface of the airfoil cause the air to leave the trailing edge smoothly at low angles of attack. – OSE Mar 11 '14 at 15:45
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Where you got that picture is a better explanation than I could ever give. – Mike Dunlavey Mar 13 '14 at 16:50