# Semantic tree?

## Homework Statement

Show the semantic tree of:

$$\neg ( ( p_0 \rightarrow p_1 ) \rightarrow \neg ( p_1 \rightarrow p_2 ) )$$

## Homework Equations

$$\neg ( ( p_0 \rightarrow p_1 ) \rightarrow \neg ( p_1 \rightarrow p_2 ) )$$

## The Attempt at a Solution

I cannot understand its purpose. Where should you start?

## Answers and Replies

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Mark44
Mentor
The term "semantic tree" doesn't ring any bells with me in the context of logical statements. Do you have any worked examples in your notes or text?

What I would try (and I have no idea if this is the right thing to do), is to make a table with T and F values for p0, p1, and p2 -- eight rows will do the trick. In the same table, calculate the values of p0 ==> p1, p1 ==> p2, and so on with the negated expressions, and see what I get from that.