Print the WHOLE menu?
What you can do is to select corresponding titles from the database directly:

$sql = "SELECT l.link_title FROM {menu_links} l WHERE l.menu_name = :menu_name ";
$result = db_query($sql, array(':menu_name' =&gt; 'menu-program-menu'));
foreach($result as $object) {
    print $object-&gt;link_title;
}