How to let a user "log out"

I would also very much like this, where I’d like it to be an URL parameter flag to not use the current login. Something like:

https://api.twitch.tv/kraken/oauth2/authorize
    ?response_type=token
    &client_id=[your client ID]
    &redirect_uri=[your registered redirect URI]
    &scope=[space separated list of scopes]
    &login=true

For example when you are doing an embed on desktop you’re using the login from Internet Explorer, which in many cases is not intended.

EDIT: Since the user is logged in and authorized to the app, any further attempts to authorize will make the user unable to pick which user to log in as without going to the Twitch site itself and logging out. This has caused quite a few problems for my users, and is not very intuitive.