ln2-page13 - 1. 2. 3. 4. ( P ! Q ) _ ( R $ R) SHOW: P _ Q (...

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1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. ( P ! Q ) _ ( R $⇠ R ) SHOW: P _ Q ( P _ Q ) SHOW: 6 ⇠⇠ P Q SHOW: ( P ! Q ) P ! Q SHOW: 6 P 6 R $⇠ R SHOW: R R SHOW: 6 R ! R R 6 R !⇠ R R 6 Pr ID Ass DD 3 ⇠_ O 3 ⇠_ O ID Ass DD 6,8 ! O 5,10 6 I 1,7 _ O ID Ass DD 12 $ O 14,16 ! O 14,17 6 I 12 $ O 13,19 ! O 13,20 6 I These strategies together with the rules of thumb considered earlier, and you can any problem you come across! J. Review Problems 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. ( B _⇠ C ) !⇠ A SHOW: A ! ( B !⇠ C ) A SHOW: B !⇠ C B SHOW: C ⇠⇠ A ⇠⇠ ( B _⇠ C ) B _⇠ C ⇠⇠ B C Pr CD Ass CD Ass DD 3 DN 1,7 ! O 8 DN 5 DN 9,10 _ O 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. M $ N SHOW: N $⇠ M SHOW: N !⇠ M N SHOW: M M ! N M SHOW: M !⇠ N M SHOW: N N ! M N
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