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
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
Section: Chapter Questions
Problem 1PE
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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}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e74522d-f3fa-47bb-9716-552da1099769%2F9e8b309f-360c-45de-90ad-07306bdb8200%2Fk5m54n_processed.jpeg&w=3840&q=75)
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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