sudo only on localhost?

Hi,

My goal is to only be able to sudo when I'm actually sitting at my desktop (ie. not when SSHed in). In my sudoers file I have:

Code:

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root    ALL=(ALL) SETENV: ALL
tux    localhost=NOPASSWD: ALL

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which does not do what I thought it would; I can still sudo everything when SSHed. Is there a way to restrict sudo to only non-SSHed sessions?

Thanks!