Reduce the proposition ((s∨F)→w)∧(w→¬¬s) to s↔w using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used.Thanks! LawsDistributiveComplement(алb)v(алс) 3an(bvc)= Tav¬a(avb)^(avc) =av(bac)ал-аCommutative-T= Favbbva-F= TanbБлаIdentityDe Morgan'sалт= a-(anb)-av-bavF= a-(avb)-an-bDouble negationConditional= aa-b¬avbab(a→b)^(b→a)IIIIII

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Answered: Reduce the proposition…

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

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Reduce the proposition ((s∨F)→w)∧(w→¬¬s) to s↔w using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used.

Thanks!

Laws
Distributive
Complement
(алb)v(алс) 3
an(bvc)
= T
av¬a
(avb)^(avc) =
av(bac)
ал-а
Commutative
-T
= F
avb
bva
-F
= T
anb
Бла
Identity
De Morgan's
алт
= a
-(anb)
-av-b
avF
= a
-(avb)
-an-b
Double negation
Conditional
= a
a-b
¬avb
ab
(a→b)^(b→a)
II
II
II

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