hw2Solutions

Hw2Solutions - Solutions courtesy of Brian Schrock 1(True P Q True is a WFF P and Q are WFFs therefore True P is a WFF Since(True P and Q are

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1 Solutions courtesy of Brian Schrock… 1. ((True /\ P) \/ Q) True is a WFF; P and Q are WFFs, therefore True /\ P is a WFF. Since (True /\ P) and Q are WFFs, (True/\P)\/Q is a WFF. TRUE P Q True /\ P ((True /\ P) \/ Q) T F F F F T F T F T T T F T T T T T T T The proposition is satisfiable but not a tautology. 2. ((P /\ Q) ==> (Q \/ P)) P and Q are WFFs. Since P and Q are WFFs, (P /\ Q) and (Q \/ P) are WFFs. Since (P /\ Q) and (Q \/ P) are WFFs, ((P /\ Q)=>(Q \/ P)) is a WFF. P Q P /\ Q Q \/ P ((P /\ Q) ==> (Q \/ P)) F F F F T F T F T T T F F T T T T T T T The proposition is a tautology. 3. (((P \/ Q) /\ (P \/ R)) <=> (P /\ (Q \/ R))) P, Q, and R are WFFs. Since P, Q, and R are WFFs, (P \/ Q), (P \/ R), and (Q \/ R) are WFFs. Since P and (Q \/ R) are WFFs, (P /\ (Q \/ R)) is a WFF. Since (P \/ Q) and (P \/ R) are WFFs, ((P \/ Q) /\ (P \/ R)) is a WFF. Since ((P \/ Q) /\ (P \/ R)) and (P /\ (Q \/ R)) are WFFs, (((P \/ Q) /\ (P \/ R)) <=> (P /\ (Q \/ R))) is a WFF. P

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This homework help was uploaded on 04/08/2008 for the course CS 2603 taught by Professor Rexpage during the Spring '08 term at The University of Oklahoma.

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Hw2Solutions - Solutions courtesy of Brian Schrock 1(True P Q True is a WFF P and Q are WFFs therefore True P is a WFF Since(True P and Q are

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