Earlier quoted context omitted.
Sure you can, just brute force your way to ensure there is only a single solution. You can try all combinations and count how many reached to the end and check if count == 1. Generating sudokus while all you have a sudoku solver seems an interesting challenge. Sounds like it can be done though, just a matter of creating random boards by adding one digit at a time that doesn't break rules and check if # of solutions i…
That doesn't guarantee you that you generate a Sudoku solveable without backtracking. The human techniques are all about forward actions only, never guesses.
I've never understood the difference. When I solve sudokus, including this one, I use backtracking all the time. "The 2 goes here or here, if it goes here then I get a 2 here, a 2 here and there's no room for the 6 there...so the 2 goes in the other spot after all". The "forward methods" are equivalent: just shortcuts to the same thing, spotting reusable patterns like the "ringing the domino" motif the solver identifies in the video.