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Consider the predicate language with predicate symbol <, where x < y means that "x is an object different from y that comes before y"; (and = is the usual equality symbol). Choose the first-order logic formulas that correctly translate the sentence: "There exists an element that comes after all others".

Consider the predicate language with predicate symbol <, where x < y means that "x is an object different from y that comes before y"; (and = is the usual equality symbol). Choose the first-order logic formulas that correctly translate the sentence: "There exists an element that comes after all others".

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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider the predicate language with predicate symbol <, where x < y means that "x is an object different from y that comes before y"; (and = is the usual equality symbol).

Choose the first-order logic formulas that correctly translate the sentence:

"There exists an element that comes after all others".

A. ∃x ∀y (y<x)

B.  ∃x ∀y (¬(y<x) → (y=x))

C. ∀x ∃y (x<y)

D. ∃x ∀y ((y<x) ∨ (y=x))

 

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