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laws of logic to show that ((s Vr Vr) A (SV¬r Vaq) ^ (rv¬s Vq)) = q v¬s.

laws of logic to show that ((s Vr Vr) A (SV¬r Vaq) ^ (rv¬s Vq)) = q v¬s.

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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Use laws of logic to prove this. The solution must look like the picture I provided. Include the laws next to the steps. Thank you in advance!
(p ^ (pv ¬r v q)) V ((q^r) V (q^r)) (p^(pv¬rva)) V (q^(rV¬r)) →(p^ (pv¬rvq)) V (q^T) →(pA (PV¬rVq)) va →(p^ (pv (rVq))) Va →pVq p Vqרר← →-p-q distribution inverse identity associativity absorption double negation implication identity
Transcribed Image Text:(p ^ (pv ¬r v q)) V ((q^r) V (q^r)) (p^(pv¬rva)) V (q^(rV¬r)) →(p^ (pv¬rvq)) V (q^T) →(pA (PV¬rVq)) va →(p^ (pv (rVq))) Va →pVq p Vqרר← →-p-q distribution inverse identity associativity absorption double negation implication identity
laws of logic to show that ((s VrV¬r) ^ (¬s V¬rVq) ^ (rV¬s Vq)) = q v¬s.
Transcribed Image Text:laws of logic to show that ((s VrV¬r) ^ (¬s V¬rVq) ^ (rV¬s Vq)) = q v¬s.
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