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It sounds like a great idea for an Open Source project ;-) More specifically, it sounds like a great idea for an open source Eclipse plug-in.
As far as here-and-now...
.. I honestly think Visio is probably your best bet (although Visio clearly misses a significant number of your requirements - including the "runs on Linux" and "free/opens ource" parts ;-)).
I did try it in visio but was not sure if it is the right tool for the job (and feel more confident now that it might be). There might be better solutions that I have not found yet.
I'm however not that familiar with it (I use it occasionally as a drawing tool and did some 'automation' on existing drawings a couple of years ago) that I know how to get data out in a usable format. The last time I tried to link it to an Access database, the results were not what I expected, but I will give it a try again.
I did try a few other things myself (both are text based):
wrote a LAMP solution; nice for simulation by the user, but lacks the overview as it's text based
created a state matrix (if it's called like that) in excel including a simple simulation; it again lacks the overview (not easy to follow) and it has a severe limitation in the number of columns per worksheet (I'm looking at 1000+ states)
It doesn't fully meet your requirements (I doubt that it runs under windows and I'm not sure about the A0 output) but if something like that doesn't work for you, then you are probably stuck with trying to get a program like visio to do something it wasn't really designed for.