To prevent this problem, we're using Marathon Winter studded tyres on the front wheels of our town bikes. Obviously both wheels provides better protection from falls, but the front wheel is most critical. If you lose traction with the front wheel of a bicycle then you lose the ability to balance and will fall very quickly.
It is best to fit the tyres before the ice sets in so that a few kilometres can be ridden on them on asphalt. This helps to seat the studs in the rubber so that they are less likely to come out later. The manufacturers recommend 60 km of riding on asphalt.
Of course, Marathon Winter tyres aren't only for town bikes. They're also available in sizes to fit mountain bikes and recumbents.
You can buy Marathon Winter tyres in the Dutch Bike Bits Webshop.