27 Slides--More Quantifier Proofs

27 Slides--More Quantifier Proofs - CS103A HO# 27 More...

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Unformatted text preview: CS103A HO# 27 More Quantifier Proofs 2/8/08 1 CS103A 2/8/08 Midterm Exam Tues., Feb. 12 7 - 9 pm Location: Gates B01 Open book (LPL), Open Notes, Crib Sheet Review Session Fri., Feb. 8 3:15 4:30 pm Location: Gates B01 Stanford Online, but not broadcast Today! x Cube(x) x Cube(x) x Cube(x) Cube(a) Elim 1 x Cube(x) Intro 2 1. 2. 3. x Cube(x) x Cube(x) x Cube(x) xCube(x) Elim 1, 5 1. 2. 3. 4. 5. 6. x Cube(x) x Cube(x) x Cube(x) x Cube(x) x Cube(x) Intro 2-4 xCube(x) Elim 1, 5 a 1. 2. 3. 4. 5. 6. x Cube(x) x Cube(x) Cube(a) Elim 2 x Cube(x) Intro 3 x Cube(x) x Cube(x) Intro 2-4 xCube(x) Elim 1, 5 a 1. 2. 3. 4. 5. 6. CS103A HO# 27 More Quantifier Proofs 2/8/08 2 x Cube(x) x Cube(x) Cube(a) Elim 2 x Cube(x) Intro 3 x Cube(x) x Cube(x) Intro 2-4 xCube(x) Elim 1, 5 a 1. 2. 3. 4. 5. 6. x Cube(x) Cube(a) Elim 1 x Cube(x) Intro 2 1. 2. 3. x Cube(x) x Small(x) x(Cube(x) Small(x)) 13.3 x Cube(x) x Small(x) Cube(a) Elim 1 Small(a) Elim 2 Cube(a) Small(a) Intro 3,4 x(Cube(x) Small(x)) Intro 1. 2. 3. 4. 5. 6. 13.3 x Cube(x) x Small(x) Cube(a) Elim 1 Small(a) Elim 2 Cube(a) Small(a) Intro 3,4 This won't work! x(Cube(x) Small(x)) Intro You have to cite a subproof 1. 2. 3. 4. 5. 6. 13.3 x Cube(x) x Small(x) Cube(a) Elim 1 Small(a) Elim 2 Cube(a) Small(a) Intro 4,5 x(Cube(x) Small(x)) Intro 3 - 6 a 1. 2. 3. 4. 5. 6. 7. 13.3 x Cube(x) x (Cube(x) Small(x)) CS103A HO# 27 More Quantifier Proofs 2/8/08 3 x Cube(x) (Cube(a) Small(a)) x (Cube(x) Small(x)) Intro 2-7 a 1. 2. 3. 4. 5. 6. 7. 8. x Cube(x) Cube(a) Small(a) (Cube(a) Small(a)) Intro 3-6 x (Cube(x) Small(x)) Intro 2-7 a 1. 2. 3. 4. 5. 6. 7. 8. x Cube(x) Cube(a) Small(a) Cube(a) Elim 3 Cube(a) Elim 1 Intro 4,5 (Cube(a) Small(a)) Intro 3-6 x (Cube(x) Small(x)) Intro 2-7 a 1. 2. 3. 4. 5. 6. 7....
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27 Slides--More Quantifier Proofs - CS103A HO# 27 More...

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