implify -(-m→(-n^-m)) to ¬man Select a law from the right to apply Laws Distributive Complement -(-m→(-n^-m)) (алb)v(алс) an(bvc) av-a ET (avb)^(avc) av(bAc) ала F Commutative E F avb bva -F ET аль baa Identity De Morgan's ant E a аль) -av-b avF E a -(avb) -an-b Double negation Conditional ma E a a-b ¬avb a-b (a-b)^(b¬a) II III II II III II

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
Problem 3P
Question

Please list out all the laws that were used.

Simplify -(-m→(-n^-m)) to ¬m^n
1. Select a law from the right to apply
Laws
Distributive
Complement
-(-m-(-nA-m))
(алb)v(алc)
an(bvc)
av-a ET
(avb)^(avc) =
av(bAc)
an-a E F
Commutative
= F
avb
bva
= T
аль
ba
Identity
De Morgan's
алт а
(anb)
-av-b
avF E a
(avb)
-ал-b
Double negation
Conditional
ma E a
a-b
¬avb
ab
(a-b)A(b¬a)
III
II
II
II
II
II
Transcribed Image Text:Simplify -(-m→(-n^-m)) to ¬m^n 1. Select a law from the right to apply Laws Distributive Complement -(-m-(-nA-m)) (алb)v(алc) an(bvc) av-a ET (avb)^(avc) = av(bAc) an-a E F Commutative = F avb bva = T аль ba Identity De Morgan's алт а (anb) -av-b avF E a (avb) -ал-b Double negation Conditional ma E a a-b ¬avb ab (a-b)A(b¬a) III II II II II II
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