Prove each of the following arguments using 1) Chain of Reasoning; and 2) Proof by Resolution. A. Vx[[F(x) - L(Juan,x)] Vx vy( (E(x.y) V -D(x) -3x( A(x) A D(x) ] E(Maria, durian) A A(Maria) .. LIJuan,durian) - F(y) ) where F(x): x is food L(x.y): x likes to eat y E(x.y): x eats y D(x): x dies A(x): x is alive Vx [ (A(x,UP) A W(x,Lotto) - H(X) ] Vx vy (S(x) V L(X) - A(x.y)) Vx ( LIX)- W(x,Lotto) ] -S(Isko) A Llsko) . H(Isko) B. where A(x.y): x is accepted at y (y is a university) W(x.y): x wins y S(x): x studied L(X): x is lucky H(x): x is happy
Prove each of the following arguments using 1) Chain of Reasoning; and 2) Proof by Resolution. A. Vx[[F(x) - L(Juan,x)] Vx vy( (E(x.y) V -D(x) -3x( A(x) A D(x) ] E(Maria, durian) A A(Maria) .. LIJuan,durian) - F(y) ) where F(x): x is food L(x.y): x likes to eat y E(x.y): x eats y D(x): x dies A(x): x is alive Vx [ (A(x,UP) A W(x,Lotto) - H(X) ] Vx vy (S(x) V L(X) - A(x.y)) Vx ( LIX)- W(x,Lotto) ] -S(Isko) A Llsko) . H(Isko) B. where A(x.y): x is accepted at y (y is a university) W(x.y): x wins y S(x): x studied L(X): x is lucky H(x): x is happy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Prove each of the following arguments using
1) Chain of Reasoning; and
2) Proof by Resolution.
Vx [[F(x) - L(Juan,x)]
Vx vy[ (E(x.y) V -D(x) - Fly) ]
-3x [ A(x) A D(x)1
E(Maria, durian)A A(Maria)
. LIJuan,durian)
A.
where
F(x): x is food
L(x.y): x likes to eat y
E(x.y): x eats y
D(x): x dies
A(x): x is alive
Vx[ (A(x,UP) A W(x,Lotto) - H(x)1
Vx vy[ (S(x) V L(x)) - A(x.y) ]
Vx [ Lx) - W(x,Lotto) ]
-S(Isko) A L(Isko)
. H(Isko)
where
A(x.y): x is accepted at y (y is a university)
W(x.y): x wins y
B.
poipnis x :(x)s
L(x): x is lucky
H(x): x is happy
A challenge:
For every statement in your chain of reasoning proof for parts A & B write down the
equivalent in English. For example, the first premise in the argument in Part B translates
to: Anyone who is accepted at UP and wins the Lotto is happy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4631c6c3-ba67-4ada-ba72-c7b8b833423c%2Fd75f59de-3a22-42ac-a75d-cffdb7be9ef1%2Fw9wkqzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove each of the following arguments using
1) Chain of Reasoning; and
2) Proof by Resolution.
Vx [[F(x) - L(Juan,x)]
Vx vy[ (E(x.y) V -D(x) - Fly) ]
-3x [ A(x) A D(x)1
E(Maria, durian)A A(Maria)
. LIJuan,durian)
A.
where
F(x): x is food
L(x.y): x likes to eat y
E(x.y): x eats y
D(x): x dies
A(x): x is alive
Vx[ (A(x,UP) A W(x,Lotto) - H(x)1
Vx vy[ (S(x) V L(x)) - A(x.y) ]
Vx [ Lx) - W(x,Lotto) ]
-S(Isko) A L(Isko)
. H(Isko)
where
A(x.y): x is accepted at y (y is a university)
W(x.y): x wins y
B.
poipnis x :(x)s
L(x): x is lucky
H(x): x is happy
A challenge:
For every statement in your chain of reasoning proof for parts A & B write down the
equivalent in English. For example, the first premise in the argument in Part B translates
to: Anyone who is accepted at UP and wins the Lotto is happy.
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