value of each ollowing interpretation where the domain consists of people, M(x, y) is "x is the mother of y", F(x) is "x is female", M(x) is "x is male." a. (x)(3)(y, x) b. (x)(Vy)(M(y,x) → M(y)) Which of the following sentences are equivalent to the statement Cats are smarter than dogs. a. Some cats are smarter than some dogs. b. There is a cat that is smarter than all dogs. c. All cats are smarter than all dogs. d. Only cats are smarter than dogs. e. All cats are smarter than any dog. Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) B(x): x is a ball R(x): x is round S(x): x is a soccer ball All soccer balls are round. a. b. Some balls are round but soccer balls are not.

value of each ollowing interpretation where the domain consists of people, M(x, y) is "x is the mother of y", F(x) is "x is female", M(x) is "x is male." a. (x)(3)(y, x) b. (x)(Vy)(M(y,x) → M(y)) Which of the following sentences are equivalent to the statement Cats are smarter than dogs. a. Some cats are smarter than some dogs. b. There is a cat that is smarter than all dogs. c. All cats are smarter than all dogs. d. Only cats are smarter than dogs. e. All cats are smarter than any dog. Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) B(x): x is a ball R(x): x is round S(x): x is a soccer ball All soccer balls are round. a. b. Some balls are round but soccer balls are not.

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 Translate the following formulas into English: ∀x, ¬friend (x, me) ⇒ enemy(x, me) ∃x, ∀y, ¬friend(y, x) ∀x, ∃y, enemy(y, x)
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