providing third party authentication ability

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OK, This isn't exactly what the subject says, I have been asked if its possible to 'export' the credentials for users to a third party system one of my clients is building. This will allow users of the other system to log in with the same credentials as the C5 app. That is they will login to the other system with the same credentials as the website app.
Given that the other system may not always be connected with a fast connection the preference would be to export the credentials. Has anyone had to tackle this before? How did you approach it?

The web app is built on 5.6.3.5.

Thanks
Martyn

FaganSystems