Multiple Choice
select the best translation into predicate logic, using the following translation key:
Cx: x is a cheetah
Lx: x is a lion
Tx: x is a tiger
Fxy: x is faster than y
Lxy: x is larger than y
-Some lion is faster than all tigers if, and only if, some cheetah is larger than any tiger faster than it.
A) (∃x) [Lx • (∀y) (Ty ⊃ Fxy) ] ≡ (∃x) {Cx • (∀y) [(Ty • Fyx) ⊃ Lxy]}
B) (∃x) [Lx • (∀y) (Fxy ⊃ Ty) ] ≡ (∃x) {Cx • (∀y) [Lxy ⊃ (Ty • Fyx) ]}
C) (∃x) (∃y) (∀z) {[(Lx • Cy) • Tz] • [Fxz ≡ (Fzy ⊃ Lyz) ]}
D) (∃x) (∃y) (∀z) {[(Lx • Cy) • Tz] • [Fxz ≡ (Lyz ⊃ Fzy) ]}
E) (∃x) (∃y) (∀z) {[Tz ⊃ (Lx • Cy) ] ≡ [(Fxz • Lyz) • Fzy]}
Correct Answer:

Verified
Correct Answer:
Verified
Q290: construct a derivation of each logical truth
Q291: select the best translation into predicate logic,
Q292: 1. (∀x)(∃y)Axy ⊃ (∀x)(∃y)Bxy<br>2. (∃x)(∀y)∼Bxy<br>-Which of the
Q293: select the best translation into predicate logic,
Q294: use:<br>b: Bhavin <br>c: Chloe <br>m: Megha<br>n: Nietzsche
Q295: select the best translation into predicate logic,
Q297: use:<br>b: Bhavin <br>c: Chloe <br>m: Megha<br>n: Nietzsche
Q298: select the best translation into predicate
Q299: derive the conclusions of each of
Q300: provide a conterexample in a finite domain