Under Mavericks, with plenty of RAM and HD space, I've got the latest beta crashing pretty quickly. I suspect the main problem is I'm working off line. (Time warner is having an outage in my area, so my iMac won't connect, but my laptop finds a weak open connection out the window.)
Open Logos, select work offline, it opens to a blank workspace (my default), try to open the NRSV or Jewish Study Bible to Hosea, and bam, down it goes. Four times in a row, with only minor variations.
When the iMac gets back online, I'll post the logs.