In my previous post I asked if the standard AdSense for Search program TOS could be use for a browser r application search box.
According to their FAQ the answer is no:
Client Software
A site or third party cannot display our ads, search box, search results, or referral buttons as a result of the actions of any software application such as a toolbar. No Google ad, search box, or referral code may be pasted into any software application. Web pages displaying our ads, search box, search results, or referral buttons may not be loaded by any software that can trigger pop-ups, redirect users to unwanted websites, modify browser settings, or otherwise interfere with site navigation. It is your responsibility to ensure that no ad network or affiliate uses such methods to direct traffic to pages that contain your AdSense code. Accounts involved in this type of activity may be permanently disabled.
Code Modification
Any AdSense ad code, search box code, or referral code must be pasted directly into Web pages without modification. AdSense participants are not allowed to alter any portion of the ad code or change the layout, behavior, targeting, or delivery of ads for any reason.