Repro:
1. Click Tools > Collections
2. Type the name of your collection, say "Test"; any random rules will do (I used type:bible lang:english)
3. Click Search
4. For type of search, click Bible
5. Click Collection dropdown and select "Test"
6. Click Tools > Collections again
7. Click Open
8. Right-Click on "Test" in the dropdown and select Delete (or hover over "Test" and click the X to the right)
9. Click Search
[Notice a problem already: "Test" shows as the collection to search in; but it doesn't exist anymore]
10. Without changing that collection to something legitimate, execute a search; any search will do
Result: Crash
Note: This reproduced many times; a couple of times it didn't repro and the default collection on search after step 9 was set back to "Top Bibles" automatically. It seemed to be more likely to repro if I quit Logos after step 5 and then restarted it again, but I could often get it to repro without doing that.
Config: Windows Vista Ultimate SP2