Simplify (-mas)v¬(mvs) to -m 1. Select a law from the right to apply (¬mas)v¬(mvs)

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 list out att the laws that were used

Simplify (-mas)v¬(mvs) to ¬m
1. Select a law from the right to apply
Laws
Distributive
Complement
(-mas)v-(mvs)
(anb)v(anc) =
an(bvc)
av-a =T
(avb)A(avc) E
av(bac)
алта F
Commutative
= F
avb
bva
аль
ba
Identity
De Morgan's
aAt = a
-(anb)
-av-b
avF = a
-(avb)
-ал-b
Double negation
Conditional
ma E a
a-b
¬avb
a+b
= (a-b)A(b¬a)
II
II
II
II
III
Transcribed Image Text:Simplify (-mas)v¬(mvs) to ¬m 1. Select a law from the right to apply Laws Distributive Complement (-mas)v-(mvs) (anb)v(anc) = an(bvc) av-a =T (avb)A(avc) E av(bac) алта F Commutative = F avb bva аль ba Identity De Morgan's aAt = a -(anb) -av-b avF = a -(avb) -ал-b Double negation Conditional ma E a a-b ¬avb a+b = (a-b)A(b¬a) II II II II III
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