For each of the following expressions indicate (1) which variables are free and which bound; (2) which letters serve as individual constants and which as property constants; (3) which free variables are within the scope of some quantifier or other and which indi- vidual constants are not within the scope of any quantifier. 1. (x)(Fx Ɔ Ga)
For each of the following expressions indicate (1) which variables are free and which bound; (2) which letters serve as individual constants and which as property constants; (3) which free variables are within the scope of some quantifier or other and which indi- vidual constants are not within the scope of any quantifier. 1. (x)(Fx Ɔ Ga)
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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Answer questions number 1, 3, and 5
![For each of the following expressions indicate (1) which variables are free and which
bound; (2) which letters serve as individual constants and which as property constants;
(3) which free variables are within the scope of some quantifier or other and which indi-
vidual constants are not within the scope of any quantifier.
1. (x)(Fx Ɔ Ga)
2. (3x) (Fa · Gx)
3. (x)[Fx Ɔ (Gy v Hx)]
4. (x)Fx Ɔ (3y)(Gy v Dx)
5. Fa v (x)[(Ga v Dx) Ɔ (~ Ky · Hb)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa778142b-511d-4123-8a2e-c210efc63376%2F561c72fb-6f44-4472-8d40-0bb36d5cb292%2F5y01dms_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following expressions indicate (1) which variables are free and which
bound; (2) which letters serve as individual constants and which as property constants;
(3) which free variables are within the scope of some quantifier or other and which indi-
vidual constants are not within the scope of any quantifier.
1. (x)(Fx Ɔ Ga)
2. (3x) (Fa · Gx)
3. (x)[Fx Ɔ (Gy v Hx)]
4. (x)Fx Ɔ (3y)(Gy v Dx)
5. Fa v (x)[(Ga v Dx) Ɔ (~ Ky · Hb)]
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