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Assuming the following predicates: • L(x, y): x is strictly less than y (x0); • D(x, y): x divides y exactly; determine which of the following formulae are true (in your answer include an expres- sion of the formula in concise (good) English without variables). (a) VxN. (D(2, x) → E(x)) (b) 3 €. Vr € N. L(r. y)

Assuming the following predicates: • L(x, y): x is strictly less than y (x0); • D(x, y): x divides y exactly; determine which of the following formulae are true (in your answer include an expres- sion of the formula in concise (good) English without variables). (a) VxN. (D(2, x) → E(x)) (b) 3 €. Vr € N. L(r. y)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Answer A, B please.
Algorithms

Assuming the following predicates: • L(x, y): x is strictly less than y (x<y); • E(x): x is even; • P(x): x is a prime number; • EQ(x, y): x equals y (x=y); • G(x): x is greater than zero (x>0); D(x, y): x divides y exactly; determine which of the following formulae are true (in your answer include an expres- sion of the formula in concise (good) English without variables). (a) Vx € N. (D(2, x) → E(x)) (b) y N. V E N. L(x, y)
Transcribed Image Text:Assuming the following predicates: • L(x, y): x is strictly less than y (x<y); • E(x): x is even; • P(x): x is a prime number; • EQ(x, y): x equals y (x=y); • G(x): x is greater than zero (x>0); D(x, y): x divides y exactly; determine which of the following formulae are true (in your answer include an expres- sion of the formula in concise (good) English without variables). (a) Vx € N. (D(2, x) → E(x)) (b) y N. V E N. L(x, y)
Expert Solution
Step 1

Answer:

Given

L(x, y): x is strictly less than y (x<y)

E(x):x is even

P(x) : x is the prime Number

EQ(x, y): x equals y (x=y):

G(x): x is greater than 0 (x>0):

D(x, y): x divide y exactly

 

 

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