Low-carb dieting...?

I am currently trying out the induction phase of the Atkins Diet. I was wondering if anyone knew whether or not chewing a lot (and I mean a lot) of sugarless gum would somehow mess with the results. Each stick has one gram of carbohydrate, but it's in the form of sugar alcohol (but not splenda), so I didn't think it should be counted in daily carb totals. An knowledge would be greatly appreciated!