I have written a Perl script that provides Grammar Checking support within 
LyX's GUI:
  http://wiki.lyx.org/pmwiki.php/Tools/LyX-GrammarChecker

 Internally it checks for a dozen common errors in LyX documents, such as 
misuse of "A vs An" and forgetting to put a space after a math block. It can 
be configured to use JLanguageTool to provide full grammar checking from 
within LyX's Gui. Rather than complain each time it is too stupid to 
understand your grammar, it checks your text against ~400 common errors each 
of which can be disabled by editing a text file.

It seems be quite simple to use under Linux and MacOSX. I haven't tested it 
under Windows but it should "just work" if you are using Cygwin. I'd be 
interested to know if it actually does works with Cygwin. 

Also if anyone has knowledge of how Cygwin relates to the LyX project, I'd 
appreciate it if they filled out my stub at:
        http://wiki.lyx.org/pmwiki.php/Windows/Cygwin

-- 
John C. McCabe-Dansted
Masters Student

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