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49. Establish these logical equivalences, where x does not oc- cur as a free variable in A. Assume that the domain is nonempty.

49. Establish these logical equivalences, where x does not oc- cur as a free variable in A. Assume that the domain is nonempty.

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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 establish rules for null quantification that
we can use when a quantified variable does not appear in part
of a statement.

49. Establish these logical equivalences, where x does not oc- cur as a free variable in A. Assume that the domain is nonempty. a) (VxP(x))^A=\x(P(x)^A) b) (3xP(x)) ^ A = x(P(x) ^A)
Transcribed Image Text:49. Establish these logical equivalences, where x does not oc- cur as a free variable in A. Assume that the domain is nonempty. a) (VxP(x))^A=\x(P(x)^A) b) (3xP(x)) ^ A = x(P(x) ^A)
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