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> My question for CS people out there is: is it possible to automatically 
> generate a parser for such an expression language automatically, given 
> only a "tabular" description of the operators characteristics, under 
> some reasonable constraints (e.g., only unary and binary ops supported; 
> binary are only infix, etc.)?

Not *exactly* the thing you're looking for, but pretty close:
http://loop.luaforge.net/library/compiler/Expression.html

I was surprised at the simplicity of it, and the fact that it's found in the LOOP package...

Cheers,
Tom