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Let X, Y, Z be propositional variables, and let P1, P2, P3, and P4 be the following compound propositions: P1 : X Y P2 :

Let X, Y, Z be propositional variables, and let P1, P2, P3, and P4 be the following compound propositions: P1 : X Y P2 : Y Z P3 : Y (X Z) P4 : (X Y ) Is this set of propositions consistent? Answer this question by using an appropriate truth tree, labelling your branching rules as seen in the lectures.

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