EXAMPLE: "Every fluffy kitten is cute." Predicates: Let F(x) be the statement that "x is fluffy", K(x) be the statement that "x is a kitten", C(x) be the statement that "x is cute". Domain: all cats Expressed as: √x ((K(x) ^ F(x)) → C(x)) (a) "All adult Americans can vote." Predicates: Let D(x) be the statement that "x is an adult", A(x) be the statement that "x is an American", and V(x) be the statement that "x can vote". Domain: all people (b) "There is a dog that greets everyone." Predicates: Let D(x) be the statement that "x is a dog", P(y) be the statement that "y is a person", and G(x, y) be the statement that "x greets y". Domain: all dogs and all people (c) "Any two bananas taste similar to each other." Predicates: Let B(x) be the statement that "x is a banana" and T(x, y) be the statement that "x and y taste similar". Domain: all bananas Given the predicates and domains in each problem, express each of the following sentences in terms of the predicates, quantifiers, and logical operators.
EXAMPLE: "Every fluffy kitten is cute." Predicates: Let F(x) be the statement that "x is fluffy", K(x) be the statement that "x is a kitten", C(x) be the statement that "x is cute". Domain: all cats Expressed as: √x ((K(x) ^ F(x)) → C(x)) (a) "All adult Americans can vote." Predicates: Let D(x) be the statement that "x is an adult", A(x) be the statement that "x is an American", and V(x) be the statement that "x can vote". Domain: all people (b) "There is a dog that greets everyone." Predicates: Let D(x) be the statement that "x is a dog", P(y) be the statement that "y is a person", and G(x, y) be the statement that "x greets y". Domain: all dogs and all people (c) "Any two bananas taste similar to each other." Predicates: Let B(x) be the statement that "x is a banana" and T(x, y) be the statement that "x and y taste similar". Domain: all bananas Given the predicates and domains in each problem, express each of the following sentences in terms of the predicates, quantifiers, and logical operators.
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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