2. For each of the following statements, push all negations (→) as far as possible so that no negation is to the left of a quantifier (in other words, the negation is immediately to the left of a predicate). Show your work. (a)¬¬¬z(A(x,z) ^ B(y, z)) (b) (³xA(x,y) → zB(z, y)) (c)¬x((yA(x,y) →yB(x, y)) → ¬y(x, y))

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
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2.
For each of the following statements, push all negations (¬) as far as possible so
that no negation is to the left of a quantifier (in other words, the negation is immediately to the left
of a predicate). Show your work.
(az(A(x, z) ^ B(y, z))
(b) y(xA(x, y) → EzB(z, y))
(c)¬\x((³yA(x, y) → ]yB(x, y)) → ¬³yС(x, y))
Transcribed Image Text:2. For each of the following statements, push all negations (¬) as far as possible so that no negation is to the left of a quantifier (in other words, the negation is immediately to the left of a predicate). Show your work. (az(A(x, z) ^ B(y, z)) (b) y(xA(x, y) → EzB(z, y)) (c)¬\x((³yA(x, y) → ]yB(x, y)) → ¬³yС(x, y))
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