3. The method of claim 2 , wherein: the first list of query completions are provided for display within a menu beneath the search field; and the demotion score for the particular identified query completion is based on whether the particular identified query completion was provided for display at or above a threshold position within the menu.
2. The method of claim 1 , wherein the demotion scores are further based on respective positions of the identified query completions within the displayed first list of query completions.