MADISON, Wis. (AP) -- Milwaukee Mayor Tom Barrett hopes for the chance at a rematch with Wisconsin's Republican Gov. Scott Walker as Democrats decide who will take on the first-term governor in a recall election.

Barrett was one of four Democrats on Tuesday's primary ballot looking to take on Walker in the June 5 general election. The recall was spurred over anger related to a Walker-backed law that effectively ended collective bargaining rights for most state workers.

Polls have consistently shown Barrett ahead of other Democrats. Barrett has strong name recognition across the state, having just run against Walker for governor in 2010.

Other Democrats on the ballot are former Dane County Executive Kathleen Falk, Secretary of State Doug La Follette and state Sen. Kathleen Vinehout.