[S]ignificantly reduce the US economic and military footprint in Iraq.
This phrasing appears in numerous articles around the web (search for it!). I can't tell if the original appearance, on Barr's web site, has been memory-holed or if my Google skills just aren't up to the task, but I recall that that appearance avoided the use of the term "withdrawal."
Bob Barr as the Libertarian Party's 2008 presidential nominee:
The next president should commit to a speedy and complete withdrawal from Iraq, and tell the Iraqi people that the U.S. troops will be going home.
Title of the article? "Tell Iraqis no permanent bases, says Bob Barr."