at neither of the following statements is logically implied by the other two. (This is done by giving a structure in which the statement in question is false, while the other two are true). 1. ∀x ∀y ∀z (Pxy→
at neither of the following statements is logically implied by the other two. (This is done by giving a structure in which the statement in question is false, while the other two are true). 1. ∀x ∀y ∀z (Pxy→
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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Mathematical Logic.
First-order or predicate logic.
Exercises on structures and models.
Show that neither of the following statements is logically implied by the other two. (This is done by giving a structure in which the statement in question is false, while the other two are true).
1. ∀x ∀y ∀z (Pxy→Pyz→Pxz)
2. ∀x ∀y (Pxy→Pyx-x=y)
3. ∀x ∃y Pxy→∃y ∀x Pxy
Please be as clear as possible. Show and explain all the steps. Thank you very much.
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