13. The system of claim 12 , wherein the demotion scores are further based on respective positions of the identified query completions within the displayed first list of query completions.
13. The system of claim 12 , wherein the demotion scores are further based on respective positions of the identified query completions within the displayed first list of query completions. 14. The system of claim 13 , wherein: the first list of query completions was 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 displayed at or above a threshold position within the menu.