Licensing question

["Philip Bock" <phil@...>]

I have written a program which uses Lua, which I intend to distribute in
binary-only form. I was just looking at http://www.lua.org/copyright.html
and wondering how this license applies to this situation. Does the line
which saya, "The above copyright notice and this permission notice shall
appear in all copies or substantial portions of this package" also apply to
binary programs linked against the Lua library? If so, does this imply that
my program must be freely redistributable if it uses Lua?

Thanks, Philip Bock