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Give interpretations to prove that each of the following wffs is not valid: a. Ex)A(x) ^ (Ix)B(x) → Ex)[A(x) B(x)] b. (Vx)Ay)P(x, y)→Ex)(Vy)P(x. y) c. (Vx)[P(x)→ Q(x)] → [@x)P(x) → (x)Q(x)] d. (Vx)[A(x)]' → [(Vx)4(x)]'

Give interpretations to prove that each of the following wffs is not valid: a. Ex)A(x) ^ (Ix)B(x) → Ex)[A(x) B(x)] b. (Vx)Ay)P(x, y)→Ex)(Vy)P(x. y) c. (Vx)[P(x)→ Q(x)] → [@x)P(x) → (x)Q(x)] d. (Vx)[A(x)]' → [(Vx)4(x)]'

Database System Concepts
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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Give interpretations to prove that each of the following wffs is not valid: a. Ex)A(x) ^ (Ix)B(x) → Ex)[A(x) B(x)] b. (Vx)Ay)P(x, y)→Ex)(Vy)P(x. y) c. (Vx)[P(x)→ Q(x)] → [@x)P(x) → (x)Q(x)] d. (Vx)[A(x)]' → [(Vx)4(x)]'
Transcribed Image Text:Give interpretations to prove that each of the following wffs is not valid: a. Ex)A(x) ^ (Ix)B(x) → Ex)[A(x) B(x)] b. (Vx)Ay)P(x, y)→Ex)(Vy)P(x. y) c. (Vx)[P(x)→ Q(x)] → [@x)P(x) → (x)Q(x)] d. (Vx)[A(x)]' → [(Vx)4(x)]'
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