Identify the scope of each of the quantifiers in the following wffs and indicate any free variables. a. (Vx)[P(x)→ Q(v)] b. Əx)[A(x) ^ (Vy)B(y)] c. ex)[(Yy) Ρ(α. y) Λ Qi. y)] d. Ex)Ay)[A(x, y) ^ B(y, z) → A(a, z)]

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
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Identify the scope of each of the quantifiers in the following wffs and indicate any free variables.
a. (Vx)[P(x)→ Q(v)]
b. Əx)[A(x) ^ (Vy)B(y)]
c. ex)[(Yy) Ρ(α. y) Λ Qi. y)]
d. Ex)Ay)[A(x, y) ^ B(y, z) → A(a, z)]
Transcribed Image Text:Identify the scope of each of the quantifiers in the following wffs and indicate any free variables. a. (Vx)[P(x)→ Q(v)] b. Əx)[A(x) ^ (Vy)B(y)] c. ex)[(Yy) Ρ(α. y) Λ Qi. y)] d. Ex)Ay)[A(x, y) ^ B(y, z) → A(a, z)]
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