%0 Journal Article %T On the power pseudovariety $\mathbf{PCS}$ %A K. Auinger %J Mathematics %D 2012 %I arXiv %R 10.5565/PUBLMAT_56212_08 %X Some new semantic and syntactic characterizations of the members of the power pseudovariety $\mathbf{PCS}$ are obtained. This leads in particular to new algorithms for deciding membership in $\mathbf{PCS}$. %U http://arxiv.org/abs/1202.5511v1