Oh, good question
I think it is related to the root system.
I saw a website earlier explaining the depth the soil freezes in winter, depending on our area. Seems that near Montreal, where I am, it freezes around 15cm deep (or was it inches? I need to find that again).
Anyhow, imagine the frost depth is maximum 10 inches. I guess a plant would survive if the roots were deeper than 10 inches.
But there is more to it.. seems like some plants die when the foliage freezes, others don't. In the book, he says that the veggies are all white and frosted in the morning, they break if he touches the leaves. Then the sun touches the greenhouse, the veggies unfreeze and go back to life!
He gives a good list of things that don't die when they freeze, here are some:
watercress
mâche
radishes
spinach (I believe it, it froze 3 times up to now and my spinach is still beautiful)
leeks
carrots (he has a special winter variety, says it is sweet and taste better than summer variety)
Many different lettuces (at my house also, it froze and they are still looking good)