AJAX - Dynamic Search Box

Hi, I need a dynamic search box in the form of a form, where a user enters some text into a textbox, and then a text box made of a <li> list of links that I can specify is dynamically updated to reflect their queries. for instance: textbox: What are you searching for? [text body] *all content is invisible* [/text body] textbox: user inputs "chat r" [text body] chat room (link to [login to view URL]) chat race (link to [login to view URL]) chat storm (link to [login to view URL]) [/text body]