Logos froze after deleting some local layouts in my wife's Beta 3 and whilst attempting to delete another. The Layouts menu remained open and the app was unresponsive.
8130.LogosFreeze.zip
I have passed along your logs to Development.
We can't reproduce this, sorry.
A log file is typically fairly useless for diagnosing hangs, unfortunately. A minidump (see "Creating a Hang Dump" at http://wiki.logos.com/ProcDump) often has the information we need to diagnose the deadlock (but can often be rather large).
If it happens again I'll submit a Procdump
