Vladimir Volovich writes:

 > What are the correct LaTeX commands? I think that these are exactly the
 > commands which are correct from the TeX's point of view, aren't they?

No. The correct LaTeX commands are those that are documented. For
example, \bmox is, but \hbox isn't.

 > I think that those parsers, if they want to be correct, *should* parse
 > according to the general TeX syntax (and semantics).

TeX has a syntax? New concept.... :-)

 > [ But there is really only one correct parser---TeX ;-) ]

Not for LaTeX which has a proper syntax (except \verb and verbatim, of