This game of strategy is a neat piece of programming: but I doubt that it would hold the interest of the average punter. A 3x3 checkerboard is presented and each player (i.e. you and the computer) has three pawns on the back rows. The pieces move one square forward at a time but move diagonally to take opposing pieces, as in chess.
To win you must take all three of your opponent's pieces, block your opponent so that he cannot move, or advance one of your pieces to reach the opponent's back row. What makes the game interesting is that the computer has no strategy pre-programmed: instead it learns by remembering its mistakes. So the computer is easy to beat at first - but within ten games or so the C64 becomes invincible!
Clever as the programming is, it cannot compensate for no sound, mediocre graphics and only moderate interest potential.