Homer is preparing a BBQ and wants to invite some people. Lenny said he will attend only if Carl also attends. Bart may attend but only if Bob does not attend. Marge decided to attend only if both Lisa and Maggie attend. Please model these three situations as if they were BIP constraints

Also, Please model the following logical statements for two variables x and y: AND, OR, XOR, Not AND, Not OR, Not XOR