  Fix a P.V. number $\lambda ^{-1}>1.$ Given
$\mathbf{p}=(p_{1},\cdots,p_{m})\in \mathbb{N}^{m}$,
$\mathbf{b}=(b_{1},\cdots,b_{m})\in \mathbb{Q^{m}$, for the self-similar set
$E_{\mathbf{p},\mathbf{b}}=\cup_{i=1}^{m}(\lambda
^{p_{i}}E_{\mathbf{p},\mathbf{b}}+b_{i})$ we find an efficient algorithm to
test whether $E_{\mathbf{p},\mathbf{b}}$ satisfies the open set condition
(strong separation condition) or not.
