题目内容
（请给出正确答案）
A．15
B．28
C．37
D．42
E．60
简答题官方参考答案
（由简答题聘请的专业题库老师提供的解答）
更多“If x, y, and z are positive integers, and 4x=5y=6z, then the least possible value of x+y+z”相关的问题
A.(∃y)(P(x,z)→Q(y))
B.P(x,z)→Q(y)
C.P(x,z)
D.S(x,y)
与公式("x)(P(x)∧Q(x, y))Þ($x)R(x, y)等值的是（）。
A.("x)(P(x)∧Q(x, z))Þ($x)R(x, y)
B.("y)(P(y)∧Q(y, y))Þ($x)R(x, y)
C.("z)(P(z)∧Q(x, y))Þ($x)R(x, y)
D.("u)(P(u)∧Q(u, z))Þ($x)R(x, z)
A.P[x,f(y),B]s1= P[z/x,f(w/y),B]
B.P[x,f(y),B]s2= P[q(z),A,B]
C.P[x,f(y),B]s1= P[z,f(w),B]
D.P[x,f(y),B]s2= P[q(z),f(A),B]
A.("x)P(x)→R(y)
B.("x) ┐P(x)Þ("x)(P(x)→Q(x))
C.("x)($y)(P(x)∧Q(y))→($x)R(x)
D.("x)(P(x,y)→Q(x,z))∨($z)R(x,z)
公式∀x∀y（P（x,y)∨Q（y,z))∧∃xP（x,y)可换名为（对约束变元改名）
A.∀x∀u(P(x,u)∨Q(u,z))∧∃tP(t,y)
B.∀x∀y(P(x,u)∨Q(u,z))∧∃xP(x,u)
C.∀x∀y(P(x,y)∨Q(y,z))∧∃xP(x,u)
D.∀u∀y(P(u,y)∨Q(y,z))∧∃uP(u,y)
A.∃x∃y∀z(P(x,y)∨¬Q(z)∨R(x))
B.∃x∃y∃z(P(x,y)∨¬Q(z)∨R(x))
C.∃x∃y∀z(P(x)∨¬Q(z)∨R(x))
D.∃x∃y∀z(P(x,y)∨Q(z)∨R(x))
把下列谓词公式分别化为相应的子句集： (1)(z)(y)(P(z，y)∧Q(z，y)) (2)(x)(y)(P(x，y)→Q(x，y)) (3)(x)(y)(P(x，y)∨(Q(x，y)→R(x，y))) (4)(x)(y)(z)(P(x，y)∨Q(x，y)∨R(x，z)) (5)(x)(y)(z)(u)(v)(w)(p(x，y，z，u，v，w)∧(Q(x，y，z，u，v，w)∨～R(x，z，w)))
对下列各题分别证明G是否为F1，F2，…，FN的逻辑结论。 (1)F1：(z)(y)P(x，y) G：(y)(x)P(x,y) (2)F1：(x)(P(x)∧(Q(a)∨Q(b))) G：(z)(P(x)∧Q(x)) (3)F1：(x)(y)(P(f(x))∧Q(f(b))) G：P(f(a))∧P(y)∧Q(y) (4)F1：(x)(P(x)→(y)(Q(y)→～L(x，y))) F2：(z)(P(x)∧(y)(R(y)→L(x，y))) G：(x)(R(z)→～Q(x)) (5)F1：(x)(P(x)→(Q(x)∧R(x))) F2：(x)(P(x)∧S(x)) G：(x)(S(x)∧R(x)) (6)F1：(z)(A(z)∧～B(z)→(y)(D(z，y)∧C(y))) F2：(z)(E(z)∧A(z)∧(y)(D(z，y)→E(y))) F3：(z)(E(x)→～B(z)) G：(z)(E(z)∧C(z))
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