# statement logic !!!

see [Logic/readme.md](Logic/readme.md) for more details about what's here

## requirements

a haskell compiler e.g. GHC

## compile it

```sh
make
```

or look in [`Makefile`](Makefile)

## usage

only this has been implemented in the main function:

```sh
echo '((p->q)<->(!q->!p))' | ./logic
```

### output

```
Iff (Implies (Atom "p") (Atom "q")) (Implies (Not (Atom "q")) (Not (Atom "p")))
Tautology
\begin{tabular}{cc||cccccc|c|cccccccc}
$p$ & $q$ & $($ & $($ & $p$ & $\to $ & $q$ & $)$ & $\leftrightarrow $ & $($ & $\neg $ & $q$ & $\to $ & $\neg $ & $p$ & $)$ & $)$ \\
\hline
0 & 0 &  &  & 0 & 1 & 0 &  & \textbf 1 &  & 1 & 0 & 1 & 1 & 0 &  & \\
0 & 1 &  &  & 1 & 0 & 0 &  & \textbf 1 &  & 1 & 0 & 0 & 0 & 1 &  & \\
1 & 0 &  &  & 0 & 1 & 1 &  & \textbf 1 &  & 0 & 1 & 1 & 1 & 0 &  & \\
1 & 1 &  &  & 1 & 1 & 1 &  & \textbf 1 &  & 0 & 1 & 1 & 0 & 1 &  & \\
\end{tabular}
```