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We place ourselves on a language with a constant me (the person speaking) and three binary relations: - friend(x, y) if x is the friend of y - enemy(x, y) if x is the enemy of y (x is my enemy then it corresponds to enemy(x, me)) - x = y if x and y are equal   Translate the following formulas into English: ∀x, ¬friend (x, me) ⇒ enemy(x, me) ∃x, ∀y, ¬friend(y, x) ∀x, ∃y, enemy(y, x)

We place ourselves on a language with a constant me (the person speaking) and three binary relations: - friend(x, y) if x is the friend of y - enemy(x, y) if x is the enemy of y (x is my enemy then it corresponds to enemy(x, me)) - x = y if x and y are equal   Translate the following formulas into English: ∀x, ¬friend (x, me) ⇒ enemy(x, me) ∃x, ∀y, ¬friend(y, x) ∀x, ∃y, enemy(y, x)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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We place ourselves on a language with a constant me (the person speaking) and three binary relations:

- friend(x, y) if x is the friend of y

- enemy(x, y) if x is the enemy of y

(x is my enemy then it corresponds to enemy(x, me))

- x = y if x and y are equal

 

  1. Translate the following formulas into English:
  2. ∀x, ¬friend (x, me) ⇒ enemy(x, me)
  3. ∃x, ∀y, ¬friend(y, x)
  4. ∀x, ∃y, enemy(y, x)
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