Originally Posted by souvenirdarling
It sounds similar to other low-carb plans, except they don't usually re-integrate
I would disagree. Most low-carb plans actually do re-integrate carbs, they just do it selectively - for example by avoiding processed carbs (Atkins and South Beach), or allowing carbs only at specific meals (Susan Sommers' plans, The Carbohydrate Addicts Diet).
As to elimination diets - the first was created by Dr. Albert Rowe in 1926 who eventually published a book Elimination Diets and the Patient's Allergies, published in 1941.
There are now countless variations of elimination diets (some more science and logic based than others). Before scratch-test and blood test allergy testing, elimination diets were the only way to diagnose allergies. Blood tests for allergies aren't very sensitive and are only available for a few allergies. Some medications interfere with the accuracy of scratch test allergy testing, and some make the test more dangerous (I'm on both kinds of medications, unfortunately - so elimination diets were the only way for me to discover my wheat allergy).