Which one is a correct symbolization of the following sentence in FOL? "Only happy poets like all students." Symbolization key: Domain: all people S(x): x is a student H(x): x is happy P(x): x is a poet L(x, y): x likes y O a. Ob. VxVy ((S(y) A L(x, y)) Oc. Vxy ((S(y) A L(x, y)) C. O d. Vx Vy ((S(y) L(x, y)) VxVy ((S(y) A L(x, y)) A (P(x) H(x))) - (P(x) → H(x))) - (P(x) A H(x))) (P(x) A H(X)))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which one is a correct symbolization of the following sentence in FOL?
"Only happy poets like all students."
Symbolization key:
Domain: all people
S(x): x is a student
H(x): x is happy
P(x): x is a poet
L(x, y): x likes y
O a.
Ob. VxVy ((S(y) A L(x, y))
0
c.
с.
xy ((S(y) A L(x, y))
-
-
O d. Vx Vy ((S(y) L(x, y))
VxVy ((S(y) AL(x, y)) A (P(x)→ H(x)))
(P(x) → H(x)))
(P(x) A H(x)))
(P(x) A H(X)))
Transcribed Image Text:Which one is a correct symbolization of the following sentence in FOL? "Only happy poets like all students." Symbolization key: Domain: all people S(x): x is a student H(x): x is happy P(x): x is a poet L(x, y): x likes y O a. Ob. VxVy ((S(y) A L(x, y)) 0 c. с. xy ((S(y) A L(x, y)) - - O d. Vx Vy ((S(y) L(x, y)) VxVy ((S(y) AL(x, y)) A (P(x)→ H(x))) (P(x) → H(x))) (P(x) A H(x))) (P(x) A H(X)))
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