Cross comparing two lists within blade

within my controller, I obtain a list of roles with their associated permissions. Additionally, I obtain a list of all permissions.

$roles = Role::with('perms')->get();
$permissions = Permission::all();

So now when I pass this to my view, I now have a list of roles with their permissions, and a list of all possible permissions.

Within my view, I am currently doing something like this

@foreach($roles as $role)
    <tr>
        <td>
            
        </td>
        <td>
            <ul class="list-group">
                @foreach($role->perms as $permission)
                    <li class="list-group-item">
                         
                    </li>
                @endforeach
            </ul>
        </td>
    </tr>
@endforeach

So I am essentially displaying all roles with their permissions. Now, within each loop, I am trying to add something like the following

<li class="list-group-item">
    <select name="add-permission-select" class="form-control"></select>
</li>

The above select should display all remaining permissions a role can have. So I essentially need to see all the permissions a role has, and then cross check this against my $permissions list. So lets say I have

PermissionA
PermissionB
PermissionC

And the first role only has PermissionA, the select options for this role should display PermissionB and PermissionC.

How would I go about cross comparing the two things?

Thanks

via Chebli Mohamed