Simplify using the Logical Equivalence Laws or Algebra of Propositions24. S v ~(~P ^ ~Q) v ((P v Q) ^ S) Logical EquivalenceDouble negative law:-(~p) = pIdempotent laws:pap = ppvp = pCommutative laws:pvq = qvpdvb = bvd|(p^q)ar = pA(qar)Associative laws:(ρvg)Vr v (qvr)Distributive laws:pa(qvr) = (p^q)v(par)pv (q a r) = (p v q) ^ (p v r)DeMorgan's laws:~(paq) = ~pV~q~(pvq) =~p^~qAbsorption laws:pv(pag) = ppa(pvq) = p

Solution : S v ~(~P ^ ~Q) v ((P v Q) ^ S) ≡ S v (P v Q) v ((P v Q) ^ S) [DeMorgan's law]

Answered: Simplify using the Logical Equivalence…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Simplify using the Logical Equivalence Laws or Algebra of Propositions 24. S v ~(~P ^ ~Q) v ((P v Q) ^ S)