Effective January 1st 2017 Minnesota will no longer honor Concealed Carry Permits from Arkansas, Ohio, Oklahoma, and Tennessee. In addition, Minnesota will no longer honor the basic permits from North Dakota or South Dakota but will continue to honor the class 1 license from both North and South Dakota.
Minnesota Statue (M.S. 624.714) essentially states that they will honor permits that have laws that are similar to Minnesota's permit-to-carry law. The Department of Public Safety is required to do that research and publish that list of states. You can find it here: