hw2solutions

hw2solutions - EE 369 HW #2 Solutions (Sixth Edition)...

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EE 369 HW #2 Solutions (Sixth Edition) Section 1.3 1) a. true b.false c. false d. true 2) e. false f.true g.true h. false 9) d. (\exists x) (D(x) ^ S(x) ^ R(x)) e. (\forall x) (D(x) --> S'(x) V R'(x) ) f. (\forall x) (D(x) ^ S(x) --> D(x)^R(x) ) g. (\forall x) (D(x) --> S'(x)) h. S(M) --> (\forall x)(D(x)-->S(x)) i. R(M) ^ R(T) j. (\exists x) (D(x) ^ R(x))--> (\forall y)(D(y) --> S(y)) 15) c. \forall x \forall y ( P(x) ^ S(y,x) --> C(y) ) d. \forall x (F(x) ->(\exists y)(C(y) ^ S(x,y))) e. \exists x P(x) ^ [(\exists y) C(y) ^ S(x,y)]' f. \exists x \exists y \forall z \forall w ( C(x)^F(y)^S(x,y) --> ( C(z) ^ F(w)--> S(z,w) )) 18) c. All women love only handsome men. d. There is a handsome man who loves Kathy. e. Some pretty woman loves only handsome men. f. John loves all pretty women. 24) a. Reordering consecutive quantifiers of the same type does not change the meaning of a wff. Whether objects a and b make A(a,b) true does not depend on which order we select a and b, but only on the identity of a and b. b. Reordering consecutive quantifiers of the same type does not
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hw2solutions - EE 369 HW #2 Solutions (Sixth Edition)...

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