No menu using Custom User Role in WordPress

I’ve just created a custom user role of ‘Lister’ by using the code below in my functions.php file.
I have the new role working in the backend and have created a user for testing. Once logged in, the only menu options is Profile and Dashboard. Why aren’t the Posts menu item there?
Thanks

$lister_user_role = add_role('lister', __('Lister'), 

    array(

    'read'          => true, //true allows this capability
    'edit_posts'    => true, //allows user to edit posts
    'create_posts'  => true, //allows users to create posts
    'publish_posts' => true, //allows users to publish posts

    'delete_posts'      => false, //do not allow user to delete posts
    'edit_others_posts' => false, //do not allow a lister to edit others' posts
    'edit_themes'       => false, //do not allow a lister to edit theme
    'install_plugins'   => false, //do not allow a lister to install plugins
    'update_plugin'     => false, //do not allow a lister to update plugins
    'update_core'       => false  //do not allow a lister to update WP Core

    )

);