alanback: It is the only one as far as I can see. I can't think of any position where there is contact and a backgammon cannot possibly be lost.
But thinking again about single games vs gammons I now see that "one checker off" is not a necessary criteria for gammons to be impossible. If all your checkers are one away from bearing off, and the opponent has more than 5 checkers on the board, one will manage to bear at least two checkers off whatever happens.
So awarding a gammon unless there is one checker off is not 100% conceptually clean after all. It is still probably the best see-in-one-glance estimate. Who would like a sophisticated software to decide about the result of a game ?
nabla: Not worth the effort IMHO. The contact issue should not be too hard to resolve, but the rest would be difficult and likely error-prone. Not to mention hard to explain to newcomers.
Except in Triple Gammon, which I don't think should be played here except with long timeout periods, the differences among backgammon, gammon and single game adversely affect only the losing player. A player can avoid losing too many points by delaying his resignation. A player who times out doesn't deserve too much sympathy.
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