Let K(x) be the statement "x has a pet koala," let G(x) be the statement "x has a gazelle," let U (x) be the statement "x has a unicorn,” and let F(x) be the statement "x has a farm." Express each of these statements in terms of K(x), G(x), U(x), F(x), quantifiers, and logical connectives. Let the domain consist of all people. (a) Everyone owns a gazelle or a unicorn. (b) Any person who does not own a farm cannot own a koala, gazelle, or unicorn. (c) No one owns a gazelle, but everyone owns a koala. (d) Some people own both a unicorn and a farm, but not all people own both a koala and a gazelle. (e) Each type of animal (koala, gazelle, unicorn) is owned by at least one person.

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
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3.
Let K(x) be the statement “x has a pet koala,” let G(x) be the statement “x has
a gazelle," let U(x) be the statement "x has a unicorn," and let F(x) be the statement "x has a
farm." Express each of these statements in terms of K(x), G(x), U(x), F(x), quantifiers, and logical
connectives. Let the domain consist of all people.
(a) Everyone owns a gazelle or a unicorn.
(b) Any person who does not own a farm cannot own a koala, gazelle, or unicorn.
(c) No one owns a gazelle, but everyone owns a koala.
(d) Some people own both a unicorn and a farm, but not all people own both a koala and a
gazelle.
(e) Each type of animal (koala, gazelle, unicorn) is owned by at least one person.
Transcribed Image Text:3. Let K(x) be the statement “x has a pet koala,” let G(x) be the statement “x has a gazelle," let U(x) be the statement "x has a unicorn," and let F(x) be the statement "x has a farm." Express each of these statements in terms of K(x), G(x), U(x), F(x), quantifiers, and logical connectives. Let the domain consist of all people. (a) Everyone owns a gazelle or a unicorn. (b) Any person who does not own a farm cannot own a koala, gazelle, or unicorn. (c) No one owns a gazelle, but everyone owns a koala. (d) Some people own both a unicorn and a farm, but not all people own both a koala and a gazelle. (e) Each type of animal (koala, gazelle, unicorn) is owned by at least one person.
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