Show that the equivalence can be derived using resolution

Chapter 7, Problem 32E

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QUESTION:

Show that the equivalence \(p \wedge \neg p \equiv \mathbf{F}\) can be derived using resolution together with the fact that a conditional statement with a false hypothesis is true. [Hint: Let \(q=r=\mathbf{F}\) in resolution.]

Equation Transcription:

Text Transcription:

p wedge neg p equiv F

q=r=F

Questions & Answers

QUESTION:

Show that the equivalence \(p \wedge \neg p \equiv \mathbf{F}\) can be derived using resolution together with the fact that a conditional statement with a false hypothesis is true. [Hint: Let \(q=r=\mathbf{F}\) in resolution.]

Equation Transcription:

Text Transcription:

p wedge neg p equiv F

q=r=F

ANSWER:

Solution:

Step 1 :

We have to show that can be derived using resolution.

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