\begin{tabbing} $\forall$\=$i$, $a$:Id, $T$:Type, ${\it ds}$:$x$:Id fp$\rightarrow$ Type, $P$:(State(${\it ds}$)$\rightarrow$$T$$\rightarrow$Prop),\+ \\[0ex]${\it init}$:\{$f$:$x$:Id fp$\rightarrow$ ${\it ds}$($x$)?Top$\mid$ $\forall$$x$:Id. $x$ $\in$ dom(${\it ds}$) $\Rightarrow$ $x$ $\in$ dom($f$) \}. \-\\[0ex]R{-}pre{-}init($i$;${\it ds}$;${\it init}$;$a$;$T$;$P$) $\in$ Realizer \end{tabbing}