Find the flaw in the following argument. The claim is false. Do not give a counterexample. Instead, point out the mistake in the reasoning. Claim: If a relation R over set A is symmetric and transitive then R is reflexive. "Proof:" Select any element (a, b) E R. Because R is symmetric it follows that (b, a) E R. Furthermore, since R is transitive, (a, b) E R ^ (b, a) ER= (a, a) E R. It follows that R is reflexive.

Find the flaw in the following argument. The claim is false. Do not give a counterexample. Instead, point out the mistake in the reasoning. Claim: If a relation R over set A is symmetric and transitive then R is reflexive. "Proof:" Select any element (a, b) E R. Because R is symmetric it follows that (b, a) E R. Furthermore, since R is transitive, (a, b) E R ^ (b, a) ER= (a, a) E R. It follows that R is reflexive.

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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