COMP 232 Midterm: COMP 232 Midterm 2013 Fall
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The only allowed tool is an encs approved calculator. Do not detach any pages from this exam! (2pts ea. : let the universe of discourse be z+, the set of positive integers. For each of the following sentences, indicate whether it is true or false. You get +2 points for each correct answer, 2 points for each wrong answer, and 0 points for don"t know. however, the total for this question will not be less that 0. 10 pts (a) x(cid:0)(x < 0) (x 2x)(cid:1) Don"t know! (b) x y(cid:0)(x + y = 0) (x y = 0)(cid:1) Don"t know! (c) x y(x y x + y) Don"t know! (d) x y(cid:0)(x = 3) (y = 4)(cid:1) Don"t know! (e) x y z(cid:0)(y = x + z) (z x)(cid:1) Midterm exam (6pts ea. : here you are to prove propositional equivalences using the laws in the handout. (a) Here is a proof that p (q r) (p q).