Discrete Math. Please on no. 15? Show the Logical Equivalence with truth table. 9. р > 910. рp V q> прbLp → q12. р ла%3D (р — ~а)q) = p ^ ¬q11.рV13. -(р14. (р15. (р16. (р(q A r)r) %3D (pуq)→ (q V r)r) %3D (рла)q — р)q) л (р — г) %3рr)л (q→ r9) v (р17. (р — г) V (918. р q (pr) = pq) A (

Answered: 5. (р — г) л (q г) 3 (рVq) (p v q) → r

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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6. Show the validity of the logical equivalence:
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In logic what is the difference between propositional forms that are necessarily equivalent and propositional forms which are equivalent? In chapter 1.1 of book “A Transition to Advanced Mathematics” by Douglas Smith, he states two propositional forms are equivalent if they have the same truth table. The book doesn’t mention anything about “necessary equivalence” until chapter 1.1, exercise 9: “Suppose P, Q, S, and R are propositional forms, P is equivalent to Q, and S is equivalent to R. For each pair of forms, determine whether they are necessarily equivalent. If they are equivalent explain why.”
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Discrete Math! Prove the following propositional equivalence using basic proppositional equivalences. Make sure to cite what rule you used and dont use a truth table!
QUESTION 9 Prove, by using logical equivalences, that ((avc)(bvc))v((cb)^(ca)) is a tautology (Do not forget to write the name of the rules that you apply.)

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