11 Slides--Fitch Proofs

# 11 Slides--Fitch Proofs - CS103A HO 11 Fitch Proofs...

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CS103A HO# 11 Fitch Proofs 1/23/08 1 LPL Websites http://www-csli.stanford.edu/LPL/ http://ggww2.stanford.edu/GUS/lpl/ Go to Student Resources for solutions and hints Go to Related Pages for a link to a page that identifies the logicians whose names are used in the exercises. P 1 P i P n P i Elim Conjunction Elimination ( Elim) P 1 P 2 P n . . . P 1 P i P n Intro Conjunction Introduction ( Intro) 1. a = b b = c c = d Goal: a = c b = d Proof 6.3 1. a = b b = c c = d 2. a = b Elim: 1 3. b = c Elim: 1 4. a = c = Elim: 2, 3 5. c = d Elim: 1 6. b = d = Elim: 3, 5 7. a = c b = d Intro: 4, 6 Goal: a = c b = d Proof 6.3 Disjunction Introduction ( Intro) P . . . P Q Intro

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CS103A HO# 11 Fitch Proofs 1/23/08 2 Disjunction Elimination ( Elim) Proof by Cases P 1 P n P 1 S P n S S Elim (A B) C Goal: C B Proof 6.4 (A B) C A B C B C C B C B Elim Goal: C B Proof 6.4 (A B) C A B B Elim C B Intro
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