MAJOR EDIT/REVISION: (Don't know if this is relevant: Logos was still indexing after I'd downloaded and started 4.0c and been indexing for a while.) I opened a Search panel, clicked the "All text" dropdown, clicked the main Highlighter Pens checkbox, which caused all three of the highlighter pen colors available -- "Pink highligher; Red Highlighter; Yellow Highlighter" (which I'm guessing must be all of the highlighting colors I've ever used) -- to be selected. I wanted to search for any highlighted text, yet it wouldn't let me start the search without something in the Find box, so on a whim I tried the wildcard character *. Logos churned on this for a while and then crashed. The crash was an Out of Memory Exception.
Here are my Log Files: 7658.Logos_4.0c_Crash_OutOfMemory_Exception.zip
And here's what Task Manager was reporting about my memory usage (after Logos terminated; unfortunately I neglected to check while Logos was still crashed but in memory):

Perhaps I really was out of memory while Logos was running, but I find that hard to believe. I have 8GB of RAM and gobs of free hard disk space. I did have a few other apps running at the time (IE, Outlook, Word), but nowhere near how I sometimes tax my system. According to Task Manager, I was only using 44% of my physical memory (after Logos had shut down). Could Logos have been using up all the rest and then running out when trying to allocate more? I suppose so.
Anyway, Logos should put up an error message and allow the user to close it down gracefully if it is unable to allocate needed memory, rather than crashing.