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3 Logical Equivalences Prove that the following pairs of compound propositions are equivalent by using the Laws of Propositional Logic. Use one law per line and give a citation. You may use associativity, commutativity or double negation alongside other laws without citation. a) (p→q) ^¬q and p^-q b) (p^q) V (qV p) and (-q ^-p) → (p→→q)

3 Logical Equivalences Prove that the following pairs of compound propositions are equivalent by using the Laws of Propositional Logic. Use one law per line and give a citation. You may use associativity, commutativity or double negation alongside other laws without citation. a) (p→q) ^¬q and p^-q b) (p^q) V (qV p) and (-q ^-p) → (p→→q)

Database System Concepts
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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please answer and circle the final answer and include each law when a new step is done per problem.

3 Logical Equivalences Prove that the following pairs of compound propositions are equivalent by using the Laws of Propositional Logic. Use one law per line and give a citation. You may use associativity, commutativity or double negation alongside other laws without citation. a) (p→q) ^¬q and p^¬q b) (p ^q) V (q V p) and (-q ^p) → (p→→q)
Transcribed Image Text:3 Logical Equivalences Prove that the following pairs of compound propositions are equivalent by using the Laws of Propositional Logic. Use one law per line and give a citation. You may use associativity, commutativity or double negation alongside other laws without citation. a) (p→q) ^¬q and p^¬q b) (p ^q) V (q V p) and (-q ^p) → (p→→q)
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Step 1

a) Given compound propositions are,

¬(p→q)∧¬q and p∧¬q

It contains two variables p, q

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