Consider the following predicates: Student(x): x is a student Smart(x): x is smart Loves(x, y): x loves y Takes(x, z): x takes z and the following domains: domain of x and y: {all UB students} domain of z: {the courses offered by UB CSE} Express each of the following statements using quantifiers, logical connectives, and the predicates given above. You may use variables, other than x and y, when/if needed. Note: Alice and Bob are UB students. CSE115 is a course offered by UB CSE. a) There exists a smart student. b) Every student loves some other student. c) There is a student who is loved by every other student. d) Alice doesn’t take CSE 115. e) No student loves Bob.
Consider the following predicates: Student(x): x is a student Smart(x): x is smart Loves(x, y): x loves y Takes(x, z): x takes z and the following domains: domain of x and y: {all UB students} domain of z: {the courses offered by UB CSE} Express each of the following statements using quantifiers, logical connectives, and the predicates given above. You may use variables, other than x and y, when/if needed. Note: Alice and Bob are UB students. CSE115 is a course offered by UB CSE. a) There exists a smart student. b) Every student loves some other student. c) There is a student who is loved by every other student. d) Alice doesn’t take CSE 115. e) No student loves Bob.
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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Consider the following predicates:
Student(x): x is a student
Smart(x): x is smart
Loves(x, y): x loves y
Takes(x, z): x takes z
and the following domains:
domain of x and y: {all UB students}
domain of z: {the courses offered by UB CSE}
Express each of the following statements using quantifiers, logical connectives, and the predicates given
above. You may use variables, other than x and y, when/if needed.
Note: Alice and Bob are UB students. CSE115 is a course offered by UB CSE.
a) There exists a smart student.
b) Every student loves some other student.
c) There is a student who is loved by every other student.
d) Alice doesn’t take CSE 115.
e) No student loves Bob.
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