I've managed to "draw" against it, I say "draw" because the threefold repetiton doesn't actually work but technically it would be a draw if there wasn't a fault in the program.
The best way i've found in beating it, is just to trade at every opportunity possible that doesn't cause a weakness in your position.
Against easy an medium i can usually beat it in the end game, i've not done so against hard yet.
another suggested way that i read to beat a computer is NOT to trade, this means that it has loads of variations to consider and will no doubt make a mistake, unfortuanatly with this way i also tend to make mistakes.
I'm curious how you as a community have fared against the 'hard' level of Little Chess Partner (the automated chess game). Several months ago I beat medium and since have not been able to beat hard. Any suggestions, for those of you who have beaten 'hard'? If there is some secret glitch in the game, I don't want to know about it. I'm just curious what your approach was, etc., really anything. I will feel so much better once I give hard a few good matchups haha. Thanks!