... 1 for the entire graph G. Afterthis deletion, the splits for G with root fragments2 and 3 are still eliminable; so we can e.g. deletethe split for 3. At this point, only one split is left for ... by checking each split for eliminability before it is added to the chart.We compare the performance of this algorithm tothe baseline of computing the complete chart. For comparison, we have ... andx(k,n] for xk+1, ,xn.Definition 3. A permutation system R is a system of rewrite rules over the signature Σ of the follow-ing form:f1(x[1,i), f2(y[1,k),z,y(k,m]),x(i,n])...