... one, and the head of atree located directly to the left of the target nodesbecomes the new left target node. The other ac-tion is symmetric, performing the same operationwith a right -to- left ... induction on the length of items, where the length of an item ι =[i, k, h] is defined as length(ι) = k − i + 1. Cor-rect items of length 1 are the hypotheses of the schema (of the form [i, i, ... are the same, and the former is a step refinement of the latter, the completeness of ES99 directly implies the completeness of Eis96.Alternatively, we can use YM03 to prove the cor-rectness of...