\newcommand{\Formula}[1]{\multicolumn{1}{l}{\ \begin{rotate}{38}#1\end{rotate}}} \renewcommand{\arraystretch}{1.5} \renewcommand{\t}{$\surd$} \renewcommand{\c}{$\times$} \vspace{2cm} \begin{tabular}{@{}l|*8{l}} \multicolumn{1}{c|}{$\Box \phi$} & \Formula{$\Box \phi\to \phi$} & \Formula{$\Box \phi\to\Box\Box \phi$} & \Formula{$\Dia \phi \to \Box \Dia \phi$} & \Formula{$\Dia \top$} & \Formula{$\Box \phi\to\Dia \phi$} & \Formula{$\Box \phi\lor \Box \neg \phi$} & \Formula{$\Box(\phi\to \psi)\land\Box \phi\to\Box \psi$} & \Formula{$\Dia \phi\land\Dia \psi\to\Dia(\phi\land \psi)$} \\ \hline It is necessarily true that $\phi$ &\t&\t&\t&\t&\t&\c&\t&\c\\ %\hline It will always be true that $\phi$ &\c&\t&\c&\c&\c&\c&\t&\c\\ %\hline It ought to be that $\phi$ &\c&\c&\c&\t&\t&\c&\t&\c\\ %\hline Agent Q believes that $\phi$ &\c&\t&\t&\t&\t&\c&\t&\c\\ %\hline Agent Q knows that $\phi$ &\t&\t&\t&\t&\t&\c&\t&\c\\ %\hline After any execution of program P, $\phi$ holds &\c&\c&\c&\c&\c&\c&\t&\c\\ %\hline \end{tabular}