Determine whether the following statement forms are

Chapter 2, Problem 15E

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QUESTION:

Determine whether the following statement forms are logically equivalent:

\(p \rightarrow(q \rightarrow r) \quad \text { and } \quad(p \rightarrow q) \rightarrow r\)

Text Transcription:

p rightarrow(q rightarrow r)

quad(p rightarrow q) rightarrow r

Questions & Answers

QUESTION:

Determine whether the following statement forms are logically equivalent:

\(p \rightarrow(q \rightarrow r) \quad \text { and } \quad(p \rightarrow q) \rightarrow r\)

Text Transcription:

p rightarrow(q rightarrow r)

quad(p rightarrow q) rightarrow r

ANSWER:

Solution :

Step 1 :

In this problem, we have to verify the following logical equivalences.

(pq ) r     and     p(q  r)

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