Exercise 1.4.3: Proving two logical expressions are not logically equivalent. About Prove that the following pairs of expressions are not logically equivalent. (a) p → q and q → p (b) ¬p → q and ¬p ∨ q (c) (p → q) ∧ (r → q) and (p ∧ r) → q (d) p ∧ (p → q) and p ∨ q

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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Exercise 1.4.3: Proving two logical expressions are not logically equivalent. About Prove that the following pairs of expressions are not logically equivalent.

(a) p → q and q → p

(b) ¬p → q and ¬p ∨ q

(c) (p → q) ∧ (r → q) and (p ∧ r) → q

(d) p ∧ (p → q) and p ∨ q

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