2. Consider the sentence oVa 3y32 (P(x,y) ^ P(z, y) ^ (P(x, z) → P(z, x))). Which of the following models satisfies o? (a) The model M consists of the set of natural numbers with PM {(m,n) | m < n}. (b) The model M' consists of the set of natural numbers with PM' {(m, 2 * m) | m natural number}. (c) The model M" consists of the set of natural numbers with PM" {(m, n) | %3D m

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
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2. Consider the sentence o Va 3y 32 (P(x, y) ^ P(z, y) ^ (P(r, z) → P(z, x))).
Which of the following models satisfies o?
(a) The model M consists of the set of natural numbers with PM {(m, n) |
m<n}.
(b) The model M' consists of the set of natural numbers with PM' {(m, 2 *
m) | m natural number}.
(c) The model M" consists of the set of natural numbers with PM" {(m, n) |
m <n+1}.
Transcribed Image Text:2. Consider the sentence o Va 3y 32 (P(x, y) ^ P(z, y) ^ (P(r, z) → P(z, x))). Which of the following models satisfies o? (a) The model M consists of the set of natural numbers with PM {(m, n) | m<n}. (b) The model M' consists of the set of natural numbers with PM' {(m, 2 * m) | m natural number}. (c) The model M" consists of the set of natural numbers with PM" {(m, n) | m <n+1}.
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