Have a mac air that keeps 'crashing' back to the login screen. Currently running Mavericks.

Hey all,

I have a user who currently has a 2013 mac air. User upgraded to mavericks and no major problems outside of it keeps 'crashing' and going back to the login screen randomly. I've tried updating displaylink drivers, had him move to Chrome from firefox since it might of been an issue with firefox causing crashing being a x86 program. I did see two things in the console worth looking into but would need help reading what they mean.

Anyone else experiancing this or has an idea of where to start?