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4. Rewrite each of the following statements so that no negation is outside a quantifier or an expression involving logical connectives. a) -3y 3x Plx,y)
4. Rewrite each of the following statements so that no negation is outside a quantifier or an expression involving logical connectives. a) -3y 3x Plx,y) b) -Vxy Plx,y) c) -3x Vy P(x,y) d) -3y (Qly) AVX-R(x,y)) e) -3y (Ex R(x,y) V x S(x,y)) 3. Let P(x,y) be the statement "Student x has taken course y", where U for x is all students at MSU and U for y is all CSE courses. Express each of the following as an English sentence. a) 3x3y Plx,y) b) 3x Vy Plx,y) c) Vx By Plx,y) d) Sy Vx Plx,y) e) Vy 3x Plx,y) f) x Vy Plx,y)
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