For example if the minimum wage is 10, and the inflation for the year is 3%, then next year the minimum wage is 10*1.03 =10.30. the next year, inflation is 5%, so the minimum wage becomes 10.82.
The idea is that this would be a method of ending the price-hike where the response to higher wages is to raise prices. Why? It is because raising prices directly raises the CPI, and thus the inflation rate. Companies shoot themselves in the foot if they hike their prices up.
What sort of problems arise when this is the case?