php如何跟权限显示层级菜单

$menu = [
    'Dashboard' => [
        'Manage Users',
        'View Reports'
    ],
    'Products' => [
        'Add Product',
        'Edit Product',
        'Delete Product'
    ],
    'Orders' => [
        'Process Order',
        'Cancel Order'
    ]
];

$permissions = ['manage_users', 'view_reports', 'add_product', 'edit_product', 'delete_product', 'process_order', 'cancel_order'];

foreach ($menu as $key => $items) {
    $filteredItems = [];
    foreach ($items as $item) {
        $permission = strtolower(str_replace(' ', '_', $item));
        if (in_array($permission, $permissions)) {
            $filteredItems[] = $item;
        }
    }
    if (empty($filteredItems)) {
        unset($menu[$key]);
    } else {
        $menu[$key] = $filteredItems;
    }
}

echo '<ul>';
foreach ($menu as $section => $items) {
    echo "<li>$section<ul>";
    foreach ($items as $item) {
        echo "<li>$item</li>";
    }
    echo '</ul></li>';
}
echo '</ul>';