  In this paper we consider the specification property for
$(\alpha,\beta)$-shifts. When $\alpha=0$, Schmeling shows that the set of
$\beta>1$ for which the $\beta$-shift has the specification property has the
Lebesgue measure zero but has the full Hausdorff dimension\cite{Schmeling}. So
it is natural to ask what happens when $\alpha>0$. Buzzi shows that for fixed
$\alpha$ the set of $\beta >1$ for which the $(\alpha,\beta)$-shift has the
specification property has Lebesgue measure zero. Hence we consider the
Hausdorff dimension of the parameter space of $(\alpha,\beta)$-shifts.
