Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements. i) Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class. ii) Someone in your class has an Internet connection but has not chatted with anyone else in your class.

Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements. i) Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class. ii) Someone in your class has an Internet connection but has not chatted with anyone else in your class.

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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Question

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Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have
chatted over the Internet," where the domain for the variables x and y consists of all students in your
class. Use quantifiers to express each of these statements.
i) Everyone in your class with an Internet connection has chatted over the Internet with at least one
other student in your class.
ii) Someone in your class has an Internet connection but has not chatted with anyone else in your
class.
Express each of these system specification using predicates, quantifiers and logical operators if
necessary.
i) There are at least two paths connecting every two distinct end points of the network.
ii) No one knows the password of every user except for the system administrator who knows all
password.

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