Problem 2: Let C(x, y) be the statement "Student x is enrolled in class y", where the domain for x consists of all students in your school and the domain for y consists of all classes being given at your school.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Problem 2: Let C(x, y) be the statement "Student x is enrolled in class y", where the domain for x
consists of all students in your school and the domain for y consists of all classes being given at
your school.
Express each of the following statements by a simple English sentence.
1. C(Randy Goldberg, CSC 14)
2. Ex C(x, Math 695)
3. 3y C(Carol Sitea, y)
4. Ex (C(x, Math 222) ^ C(x, CSC 16))
5. Ix 3y Vz (x #y) ^ (C(x, z) → C(y, z)))
6. 3x 3y Vz (x # y) ^ (C(x, z) +→ C(V, z)))
Transcribed Image Text:Problem 2: Let C(x, y) be the statement "Student x is enrolled in class y", where the domain for x consists of all students in your school and the domain for y consists of all classes being given at your school. Express each of the following statements by a simple English sentence. 1. C(Randy Goldberg, CSC 14) 2. Ex C(x, Math 695) 3. 3y C(Carol Sitea, y) 4. Ex (C(x, Math 222) ^ C(x, CSC 16)) 5. Ix 3y Vz (x #y) ^ (C(x, z) → C(y, z))) 6. 3x 3y Vz (x # y) ^ (C(x, z) +→ C(V, z)))
Problem 3: Let Q(x, y) be the statement "Student x has been a contestant on quiz show y".
Express each of the following sentences in terms of Q(x, y), quantifiers, and logical connectives,
where the domain for x consists of all students at your school and the domain for y consists of all
quiz shows on television.
1. There is a student at your school who has been a contestant on a television quiz show.
2. No student at your school has ever been a contestant on a television quiz show.
3. There is a student at your school who has been a contestant on Jeopardy and on Wheel of
Fortune.
4. Every television quiz show has had a student from your school as a contestant.
5. At least two students from your school have been contestants on Jeopardy.
Transcribed Image Text:Problem 3: Let Q(x, y) be the statement "Student x has been a contestant on quiz show y". Express each of the following sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for x consists of all students at your school and the domain for y consists of all quiz shows on television. 1. There is a student at your school who has been a contestant on a television quiz show. 2. No student at your school has ever been a contestant on a television quiz show. 3. There is a student at your school who has been a contestant on Jeopardy and on Wheel of Fortune. 4. Every television quiz show has had a student from your school as a contestant. 5. At least two students from your school have been contestants on Jeopardy.
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