Clear app badge with local notifications

I'm trying to clear my app's "unread" badge with a UILocalNotification. Logically you would think this would be done by setting applicationIconBadgeNumber of a UILocalNotification instance to 0. But it doesn't work, and the docs for applicationIconBadgeNumber say "The default value is 0, which means "no change.”"

So is there really no way to clear a badge with local notifications once it's been set?

Update: Some simple code:

-(void)applicationDidFinishLaunching
{
    // Set the appication icon badge to 1 in 10 minutes, using a local notification so it works in the background:
    // This works fine.

    UILocalNotification *episodeNotification = [[UILocalNotification alloc] init];
    episodeNotification.fireDate = [NSDate dateWithTimeIntervalSinceNow:(60 * 10)];
    episodeNotification.timeZone = [NSTimeZone defaultTimeZone];
    episodeNotification.applicationIconBadgeNumber = 1;

    [[UIApplication sharedApplication] scheduleLocalNotification:episodeNotification];
    [episodeNotification release];


    // Clear the application icon badge in 20 minutes, again using a local notifcation so it works in the background:
    // This doesn't work.  According to the docs for local notification it's not supposed to
    // because (applicationIconBadgeNumber = 0) means "Do not change the badge"
    // I'm looking for an alternative if it exists.

    UILocalNotification *clearEpisodeNotification = [[UILocalNotification alloc] init];
    clearEpisodeNotification.fireDate = [NSDate dateWithTimeIntervalSinceNow:(60 * 20)];
    clearEpisodeNotification.timeZone = [NSTimeZone defaultTimeZone];
    clearEpisodeNotification.applicationIconBadgeNumber = 0;

    [[UIApplication sharedApplication] scheduleLocalNotification:clearEpisodeNotification];
    [clearEpisodeNotification release];
}