Can you elaborate on this? Because it looks to me (only minimally educated in economics) that minimum wage and basic income work in completely opposite directions here.
With a minimum wage, a person may be willing to do some work for $X, and another person may be willing to hire him to do that work for $X, but the law prevents them from entering into an agreement to actually do it. Thus, anyone not able to produce at least as much value as the minimum wage simply does not work at all.
With a basic income, you no longer need a minimum wage. If a person is willing to work for a penny an hour, let him. The floor drops, not rises, because people can engage in very poorly-paid work if need be, and still be able to survive. A person whose labor is only worth $2/hour won't have a job today, but could very well have a job in a system with a basic income.
Did I miss something?