http://en.wikipedia.org/wiki/2013-14_Premier_League
As of 12 May 2013, the following teams have mathematically achieved qualification for the 2013–14 season.[3] They are listed below in alphabetical order.
Arsenal
Cardiff City
Chelsea
Everton
Hull City
Liverpool
Manchester City
Manchester United
Newcastle United
Norwich City
Stoke City
Swansea City
Tottenham Hotspur
West Bromwich Albion
West Ham United