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
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b36e76c-f4a3-4d67-a6fb-4428ed1e8db2%2F1b07a6e1-83d0-4cb1-9793-725e7d0a25ba%2Fuomwxjm_processed.png&w=3840&q=75)
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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a) Given compound propositions are,
and
It contains two variables p, q
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