This is an optional input for the groebnerStratum and groebnerFamily functions. It takes values $true$ and $false$. When assigned the value $true$, the functions are computed with respect to all standard monomials for the specified generators. When assigned the value $false$, the functions are computed with respect to smaller monomials of the same degree as the specified generators but which do not lie in the ideal.
The object AllStandard is a symbol.