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))

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

Problem 1PE

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Concept explainers

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters:

Question

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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