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Q4. We want to verify that P → P3, P2 → P4, .. (P V P2) → (P3 V P4) is a valid argument. Fill in the justifications at each step. 1. Р > Рз 2. Р, Ра 3. Р.V P. 4. ¬(P3 V PA)

Q4. We want to verify that P → P3, P2 → P4, .. (P V P2) → (P3 V P4) is a valid argument. Fill in the justifications at each step. 1. Р > Рз 2. Р, Ра 3. Р.V P. 4. ¬(P3 V PA)

Database System Concepts
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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Q4. We want to verify that P → P3, P2 → P4, .. (P V P2) → (P3 V P4) is a valid argument. Fill in the justifications at each step. 1. Р > Рз 2. Р. — Ра 3. Р. V P, 4. ¬(P3 V P4) 5. P. 6. Рз 7. Рз V РА 8. (P3 V PA) ^ (¬(P3 V P4)) 9. P → ((P3 V Pa) ^ (¬(P3 V P4))) 10. ¬P1 11. P2 12. РА 13. Рз V Ра 14. (P3 V P4) ^ (-¬(P3 V Pa)) 15. (¬(P3 V Pa)) –→ ((P3 V P4) ^ (¬(P3 V P4))) 16. ¬(¬(P3 V P4)) 17. Рз V Ра 18. (P, V P2) → (P3 V P4)
Transcribed Image Text:Q4. We want to verify that P → P3, P2 → P4, .. (P V P2) → (P3 V P4) is a valid argument. Fill in the justifications at each step. 1. Р > Рз 2. Р. — Ра 3. Р. V P, 4. ¬(P3 V P4) 5. P. 6. Рз 7. Рз V РА 8. (P3 V PA) ^ (¬(P3 V P4)) 9. P → ((P3 V Pa) ^ (¬(P3 V P4))) 10. ¬P1 11. P2 12. РА 13. Рз V Ра 14. (P3 V P4) ^ (-¬(P3 V Pa)) 15. (¬(P3 V Pa)) –→ ((P3 V P4) ^ (¬(P3 V P4))) 16. ¬(¬(P3 V P4)) 17. Рз V Ра 18. (P, V P2) → (P3 V P4)
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