For completeness, it's important to consider the condition under which the reconstruction occurs. In many cases, the reconstruction is based on equality conditions between corresponding attributes in the decomposed relations. The complete rule for reconstruction with the natural join operator $(\backslash (\backslash$bowtie$\backslash ))$ includes these conditions:$\backslash [$ R $=$ R$1\backslash$bowtie$\_\{$C$1=$C$2=\backslash$ldots$=$Cm$\}$ R$2\backslash$bowtie$\_\{$C$1=$C$2=\backslash$ldots$=$Cm$\}\backslash$ldots $\backslash$bowtie$\_\{$C$1=$C$2=\backslash$ldots$=$Cm$\}$ Rn $\backslash ]$Here$,\backslash ($ C$1,$ C$2,\backslash$ldots$,$ Cm $\backslash )$ represent the common attributes on which the natural joins are performed between each pair of decomposed relations. This ensures that the reconstruction maintains consistency and correctly aligns tuples based on the specified equality conditions.