% Part: many-valued-logic % Chapter: three-valued-logics % Section: introduction \documentclass[../../../include/open-logic-section]{subfiles} \begin{document} \olfileid{mvl}{thr}{int} \olsection{Introduction} If we just add one more value~$\Undef$ to $\True$ and $\False$, we get a three-valued logic. Even though there is only one more truth value, the possibilities for defining the truth-functions for $\lnot$, $\land$, $\lor$, and $\lif$ are quite numerous. Then a logic might use any combination of these truth functions, and you also have a choice of making only $\True$ designated, or both $\True$ and~$\Undef$. We present here a selection of the most well-known three-valued logics, their motivations, and some of their properties. \end{document}