Man vs machine with takeback option

Is there a version of man v machine where the human is allowed to take back a certain number of moves during the course of the game? Maybe if a top GM is allowed to take back 2 moves at classical time controls, he or she can beat the top machines.

Take-backs most likely won't affect the game at all, I doubt they will make any blunders. However, if they could take back 20 moves, that will affect it a lot as the GM might make a bad plan or mis-assess a position and giving them the chance to go back and make a new assessment/plan will help them a lot.

Really? I thought that if a GM makes a slightly inccurate move (not nec a blunder) and then sees the computer's sharp reply, he or she would immediately realize that a better move was needed at that point. Here an opportunity to immediately take back might make a real difference.