Bell Theorem without Inequality for Some Generalized GHZ and W States

Bell's theorem without inequalities is applied for some general Greenberger--Horn--Zeilinger (GHZ) states and W states and a wide range of such states can exhibit all-versus-nothing conflict between local realism and quantum theory. The case of standard GHZ state is contained in our proposal. For some generalized GHZ states more intensive violation on local realism is manifested.