8. Let C(r) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(a) be the statement "x has a horse," let E(x) be the statement "x eats eggs," and let A(x) be the statement "x has allergies to animals." Express each of these statements in terms of C(x), D(x), H(x), E(x), A(z), quantifiers, and logical connectives. Let the domain consist of all people. a) Any person with allergies to animals cannot own dogs, or cats but can eat eggs. b) Nobody owns all three animals, but everyone owns a dog. c) Each type of the three animals is owned by at least one person who eats eggs.
8. Let C(r) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(a) be the statement "x has a horse," let E(x) be the statement "x eats eggs," and let A(x) be the statement "x has allergies to animals." Express each of these statements in terms of C(x), D(x), H(x), E(x), A(z), quantifiers, and logical connectives. Let the domain consist of all people. a) Any person with allergies to animals cannot own dogs, or cats but can eat eggs. b) Nobody owns all three animals, but everyone owns a dog. c) Each type of the three animals is owned by at least one person who eats eggs.
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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Please answer with explanations.
Transcribed Image Text:8. Let C'(x) be the statement "x has a pet cat," let D(r) be the statement
"x has a dog," let H(r) be the statement "x has a horse," let E(x) be the
statement "x eats eggs," and let A(r) be the statement "x has allergies to
animals." Express each of these statements in terms of C(x), D(x), H(x),
E(x), A(x), quantifiers, and logical connectives. Let the domain consist
of all people.
a) Any person with allergies to animals cannot own dogs, or cats but
can eat eggs.
b) Nobody owns all three animals, but everyone owns a dog.
c) Each type of the three animals is owned by at least one person who
eats eggs.
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