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|Consider the formula C = 3x Vy.p(x,y) → q(y). For each of the following nterpretations, determine if the interpretation is a model of C. If it is a model, show that it s. If it is not a model, show that it is not.

|Consider the formula C = 3x Vy.p(x,y) → q(y). For each of the following nterpretations, determine if the interpretation is a model of C. If it is a model, show that it s. If it is not a model, show that it is not.

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
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Consider the formula C = 3xVy.p(x, y) → q(y). For each of the following interpretations, determine if the interpretation is a model of C. If it is a model, show that it is. If it is not a model, show that it is not.
Transcribed Image Text:Consider the formula C = 3xVy.p(x, y) → q(y). For each of the following interpretations, determine if the interpretation is a model of C. If it is a model, show that it is. If it is not a model, show that it is not.
(c) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate + “x is not equal to y" R2 = {[2]} p maps to R1 and q maps to R2 %3D (d) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate s “x is less than or equal to y" R2 = the unary arithmetic predicate A(y).{y>0} “y is greater than 0" p maps to R1 and q maps to R2
Transcribed Image Text:(c) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate + “x is not equal to y" R2 = {[2]} p maps to R1 and q maps to R2 %3D (d) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate s “x is less than or equal to y" R2 = the unary arithmetic predicate A(y).{y>0} “y is greater than 0" p maps to R1 and q maps to R2
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