In general, I have a problem with trust. I have been lied to many times in my life, and the alcoholics actually are not responsible for most of them.
So it sucks to be my alcoholic boyfriend, I guess. He gets the guilt trip twice as bad when he lies, because I didn't trust him before he ever did lie to me, and I certainly don't trust him now that he continues to lie to me.
I think that the only way to be able to trust someone again, alcoholic or not, is to forgive them. They have to accept responsibility for their lies and make an effort to stop. They have to prove that they are worthy of your trust. But that is the problem with an alcoholic. They don't want to accept responsibility or stop lying or gain your trust. And until that happens, they won't be trusted.
And that goes for everyone, not just addicts. There are some people in general who lie all the time and don't understand why no one trusts them. Duh. It's not rocket science.