Please don't post very long crash reports here, it makes the forum un-navigable. Use http://pastebin.com/ instead. I've moved your crash report there and edited your post to contain a link.
As for the problem, it appears related to dictionaries. Do you have a custom dictionary? Have you tried
Trash, Replace, Reset, or Restore the application Preferences: http://forums.adobe.com/thread/526990?
Check after removing the sing folder:-
Quit InDesign (force quit, if necessary).
Move the following folder to the desktop:
Mac OS: [Startup Disk]/Library/Applications Support/Adobe/SING/Mark II/DatastoreNote: This is in the Library folder on the root of your startup disk. There is a similar path in your user folder, but that is not the path you need to work in.
Windows 7/Vista: C:\ProgramData\Adobe\SING\Mark II\Datastore
Windows XP: C:\Documents and Settings\All Users\Application Data\Adobe\SING\Mark II\Datastore
3. Relaunch InDesign.Attempt to reproduce the problem.
Manish, do you have some reason to think a crash in LILO/Linguistics has anything to do with SING?
That's not been my experience.
This is what I think:-
Sing folder has Smart INdependent Glyphlets (SING) component, which handles use of single glyph font files used to represent custom glyph needs to extend standard font glyph sets.
Hence may be the font that has been used in the file has some custom glyph added to it.
Also the LILO is a spell checker hence could be while checking that font.
I may be wrong , you are the crash expert.