904 B
904 B
statement logic !!!
see Logic/readme.md for more details about what's here
requirements
a haskell compiler e.g. GHC
compile it
make
or look in Makefile
usage
only this has been implemented in the main function:
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}