P, Q. R are predicates; x, y, 2, w, v are variableN; a and b are constants; and s is a unary function symbol. For each item below, write the result obtained by Skolemization and removing the universal quantifiers. (a) Sx$y(Q(x) v Q(y)) (b) $x"y$zP(x, y, z) (c) SxR(x) Ú Sx-R(x) (d) $xP(a, x)

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Skolemization / FOL to CNF

 

P. Q. R are predicates; x, y, z, w, v are variables; a and b are constants; and s is a unary funetion
symbol.
For each item below, write the result obtained by Skolemization and removing the universal
quantifiers.
(a) SxSy(Q(x) v Q(y)
(b) $x"y$zP(x, y, z)
(c) SxR(x) Ú Sx-R(x)
(d) $xP(a, x)
(e) SxQ(x)
Picture in case the above does not render correctly:
(a) 3x3y(Q(x) v Qy))
(b) 3xVy3zP(x, y, z)
(c) ExR(x) v 3X¬R(x)
(d) 3xP(a, x)
(e) Ex0x)
Transcribed Image Text:P. Q. R are predicates; x, y, z, w, v are variables; a and b are constants; and s is a unary funetion symbol. For each item below, write the result obtained by Skolemization and removing the universal quantifiers. (a) SxSy(Q(x) v Q(y) (b) $x"y$zP(x, y, z) (c) SxR(x) Ú Sx-R(x) (d) $xP(a, x) (e) SxQ(x) Picture in case the above does not render correctly: (a) 3x3y(Q(x) v Qy)) (b) 3xVy3zP(x, y, z) (c) ExR(x) v 3X¬R(x) (d) 3xP(a, x) (e) Ex0x)
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